Book Description
This best-selling classical mechanics text, written for the advanced undergraduate one- or two-semester course, provides a complete account of the classical mechanics of particles, systems of particles, and rigid bodies. Vector calculus is used extensively to explore topics.The Lagrangian formulation of mechanics is introduced early to show its powerful problem solving ability.. Modern notation and terminology are used throughout in support of the text's objective: to facilitate students' transition to advanced physics and the mathematical formalism needed for the quantum theory of physics. CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS can easily be used for a one- or two-semester course, depending on the instructor's choice of topics.
Customer Reviews:
I doubt students using this text can tackle dynamics.......2007-04-28
I doubt students using this text will be as capable in tackling dynamics problems as one would assume. Give the Physics student fed on a regular diet of this book one of those swirling, mechanical-arm problems and they'll probably be dead in the waters. This is probably one of those books that create the illusion of mastery rather than develop real skills.
Springer has a real good series on classical mechanics nowadays. That's my tip.
Disclaimer: gave up on this book and never really used it, because I think it sucks and life is too short.
worst textbook I ever had.......2007-02-03
This book is one of the reasons why I am now a math phd student, rather than a physics phd student. Unfortunately, physics departments stick to the same awful books, when they really ought to know better. It doesn't matter how much math you know--I was a senior math major. You can follow everything that is written in this book and still not learn much because the book hardly contains any real knowledge. Very little physical insight will be found here, unless you think about it for yourself and come up with your own explanations. The idea of actually understanding anything seems to be completely missing. The problems are often tedious, involving excessive computations (not that some of that isn't appropriate), with a few exceptions. Not a good textbook or reference. If you don't at least question this book, you will miss out, big time--I promise.
If you have the misfortune of having this as a text, please, at least try reading something else. Feynman's lectures cover some of the material at an elementary level. V. I. Arnold's Mathematical Methods of Classical Mechanics might be worth taking a look at, although it requires some mathematical sophistication for a full appreciation.
This book is a real dissaster!!!.......2007-01-29
I used this book for Classical Mechanics and Classical Dynamics, and was a complete waste of time and money, the explanation of the topics is very superficial, and the mathematics are very poorly. However, the book is well organized, because clearly it develop a line of thought that an undergraduated student can follow, nonetheless the develop of this line of thought is a real dissaster. In conclusion, please look for another book, don't buy this piece of sh... Sorry, but I'm really dissapointed with this book. I had to buy another five books to complete what at last is the real classical dynamics.
P.S.: Beg your pardon if there is any grammar error, I'm not a native English Speaker.
Know's its place.......2006-09-02
This semester is my first in grad school and we're starting into Goldstein and I'm using Marion for review and backfill. The really negative opinions on this page are over done. AND so are the really positive reviews.
Overall the book is just great for an undergrad who won't be going on to the PhD or masters. But once you're in one of these programs you may find yourself reaching for it to make sure you've got your basics covered.
Hopefully Thornton will upgrade the book and not dumb it down as time goes on. A layered approach usually works.
A shame..........2006-04-29
People who read this book carefully will find that many of the examples in the book contain flawed reasoning. The sloppy logic often leads one to understand certain concepts in a wrong way. The book does have lots of long-winded mathematical derivations, but they don't really add to the reader's physical insight. (eg. in chapter 11, some simple linear algebra that can be done in three lines are instead derived in pages of summations and index swap)
This book is a disgrace to the teaching of physics. Its tedious, sometimes illegitimate algebra spoils the elegance of classical mechanics. Compare it with Landau, and you will see the point.
Book Description
For thirty years this has been the acknowledged standard in advanced classical mechanics courses.
This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics.
For college instructors and students.
Customer Reviews:
Good contents but can be written clearer.......2006-12-21
I gave this book a 4-star because some parts of it are in fact not so clearly written, as some of the previous reviewers have pointed out. Yet it is probably the only book out there that explains classical mechanics at the level of sophistication and comprehensiveness suitable for an advanced physics student. This book is aimed at the graduate audience but in my opinion any undergraduate students with a solid introductory mechanics course should have no problem understanding most of the materials in this book though I have to admit that the authors did not do a very good job in explaining the concepts.
A distinct feature of this book is that it tries to teach classical mechanics in a way that illuminates many analogous approaches in quantum theory. By this I mean the theoretical constructions such as the Hamilton-Jacobi theory, Poisson brackets, canonical perturbation theory, relativistic field theory, and so on. This book is probably a must read for beginners of theoretical physics because some of the theoretical methods exploited here appear almost ubiquitously in other fields of physics. In the study of other subjects of physics, I was often reminded of the little bits of things I picked up from this book: variational principles, tensors and forms, symmetry groups, field theoretical ideas, etc.
Of course, the main goal of this book is to introduce the Lagrangian and Hamiltonian formulations of classical mechanics. The book is actually strong in this aspect. The first few chapters I think are very well written, especially the chapter on central force which is the most thorough treatment I have seen. There are things one hardly sees in other books of this type, such as the Lenz vector which would find a beautiful use in the quantum Kepler problem. However, the book tends to lose clarity in the latter chapters. The three chapters on Hamiltonian mechanics can be much better written. The chapter on chaos serves as nothing but a really rough introduction. Readers interested in these areas will probably benefit better by looking at other books written exclusively on Hamiltonian dynamics or chaos.
After all this is a good book mostly because I haven't yet found any other book at this level that does a better job. If one finds it difficult to read I would suggest getting the book by Marion and Thornton which contains many step-by-step derivations and tons of examples and in my opinion serves as a great companion to this book. Another book at almost the same level is the legendary book by Landau which is extremely concise and get-to-the-point. So some people may like Landau's style better. However, in my opinion, no other books can really replace this one as a comprehensive treatment of classical mechanics.
Who publishes books like this?.......2006-12-12
Goldstein's Classical Mechanics is one of the worst books I have ever read on the subject. It is disturbing that it could have been published on the first place since it is full of very serious omissions and mistakes.
The classical mechanics is based on two basic experimental facts, which lie at its foundations: The Newton-Laplace principle of determinacy and Galileo's principle of relativity. These fundamental principles are never stated in the book. More over the authors are confused about such elementary notions as phase space and configuration space probably due to the fact that phase space could be identified with a tangent bundle or cotangent bundle of the configuration space depending weather we use Lagrangian or Hamiltonian formalism.
After the reading of this book novice reader might be under the false impression that the most of mechanical systems are integrable since all examples and problems stated in this book are of that type. There is no place in this book for Arnold-Liouville's theorem on integrability.
Even such elementary topics like the chapter on Rigid Body are full of serious mistakes as mixing of the body and space coordinates. The authors prefer lengthy "intuitive" explanations to the few simple lemmas from the operator theory.
A short excursion to non-holonomic mechanics is disastrous and should be considered as totally wrong. The same goes for the chapters on canonical transformations, Hamilton-Jacobi theory and action-angle variables.
This list goes on and on.
The book in its present form is beyond repair and should not be used.
Introduction to Mechanics.......2005-12-20
Goldsteins Classical Mechanics is a standard reference in intermediate theoretical physics, suitable for second year theoretical, and third year experimental physics. Its contents include material beyond the scope of two periods, but most of the material can be covered during this time.
Classical mechanics is a mathematically modest treatment of mechanics, and the most advanced topic included is calculus of variation. However, most topics are given a rigorous treatment, and when this is not available a reference is given. Examples are somewhat sparse in the book as this is not a solution manual but a treatment of physical theory. However, working out exercises is essential for understanding the text and this is for many a turning-point, the exercises are not easy and do not simplify like problems of basic courses. But for those who work a great award awaits.
The last chapter of the book is an introduction to Chaos, with emphasis on aplication. For a more rigourous treatment differential geometry, the language of mechanics, and algebra is needed. However, it is clear that this would take the book beyond an introduction to mechanics, which it only is.
For those who have motivation and a good lecturer with notes to support the book, such as more examples, Goldsteins Classical mechanics is excellent. A note should be made, the book is probably too hard for sensible self-study, conversation and insight of others is invaluable.
Standard classical text but is it the best ever?.......2005-05-24
I will not tell you about the glorious life Dr. Goldstein lived, or his personality or his beliefs, I think a reader is more concerned about his work -especially- as a student. His book classical mechanics is known to be one of the most famous throughout the world, like to form an epistemological basis for the scientists working in this field. In my opinion it is not the best book in this field, I am sorry to be compelled to confess this. The book is written with a motivation to put you in a mode of awe: "Oh man this guy has read all these material, 25,000 books , Oh my God!". But in fact he is like vomiting all the information on you, or at least in a way that looks like unprocessed food. A good book for some topics like central force fields etc, unique in Canonical transformations and Poisson Brackets, but let us be honest for a while and ask ourselves: Are there better books may be for a Physics student? I think there are: Marion`s Classical Mechanics is a very nice book for starters. The book by Walter Greiner is also a nice book in my oppinion, with all its exercises, and chapters on Chaos and non linear theory. The book by Friedhelm Kuypers is also another nice book, the unfortunate thing is it is called Klassische Mekanik, -in German-, no body ever traslated it. If you really really like the abstract, most exclusive way of doing it, how about Constantine Caratheodory, that to me is the most supreme book written by a true genius.I was lucky cause my professor followed Caratheodory`s book and assigned problems from Goldstein,it was like a piece of cake after having gained the perfect organized way of perceiving the problems,thanx Dr. Y.Guler for this exclusive experience...Let us give all the best credit to Professor Goldstein for his contributions to Orthodox Jewish society and science as well,but be aware of the fact that his book is not a Bible in this field,let me kindly just say that the book was not his greatest achievement.So,you will buy the book for your graduate class, what should you do then? Solve all the problems, and discuss the solutions with the people arround, and always remember that this is not the ultimate step, there is V.I.Arnold and C.Caratheodory beyond H.Goldstein. Do not get exhausted with the never ending math, consider it a life style, as it would be when you really jump into research one way or another. Use the references well, take your time, try to enjoy, cause you will not have an other choice but this book in the graduate school in most American universities..
Sad News- Dr. Goldstein has passed on.......2005-02-17
Herbert Goldstein, Professor Emeritus of Nuclear Science and Engineering at Columbia, died on Jan. 12. He was 82.
Goldstein, long recognized for his scholarship in classical mechanics and reactor shielding, was the author of the graduate textbook, Classical Mechanics. The book has been a standard text since it first appeared 50 years ago and has been translated into nine languages. Goldstein's contributions to nuclear energy were honored by the U.S. Department of Energy, which awarded him the E.O. Lawrence Memorial Award in 1962. In 1977, he was the recipient of the Distinguished Service Award from the shielding division of the American Nuclear Society.
Goldstein was a professor of nuclear science and engineering at the Fu Foundation School of Engineering and Applied Science since 1961. He received the Great Teacher Award, given by the Society of Columbia Graduates, in 1976. In 1984, Goldstein was the first to hold the Thomas Alva Edison Professorship at the University.
In addition to research, Goldstein devoted time to promoting scientific literacy by teaching undergraduate courses. In 1977, he taught a course he designed to increase scientific understanding of energy issues -- "Nuclear Energy: A Semi-technical View for the Non-scientist." He was also one of the faculty members instrumental in developing an innovative science course for non-scientists, "The Theory and Practice of Science," at the College.
Goldstein was a consultant for Oak Ridge National Laboratory and Brookhaven National Laboratory. He was a fellow of the American Physical Society, the American Nuclear Society, the New York Academy of Sciences and the American Association for the Advancement of Science. Goldstein also was a member of the American Association of Physics Teachers and was a founding member and president of the Association of Orthodox Jewish Scientists. He received a B.S. from City College of New York in 1940 and a Ph.D. from Massachusetts Institute of Technology in 1943.
He is survived by his wife, Channa; his children, Penina, Aaron Meir and Shoshanna; and 10 grandchildren.
Average customer rating:
- Calculations are only as good as your numbers
- Pants on fire?
- Accepted History & Chronology Must Be Changed.
- Very Interesting
- History as Science Fiction
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History: Fiction or Science? (Chronology, No. 1)
Anatoly Fomenko
Manufacturer: Mithec
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Similar Items:
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History: Fiction or Science? Chronology 2 (Chronology)
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History: Fiction or Science? Astronomical methods as applied to chronology. Ptolemy's Almagest. Chronology III
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They Cast No Shadows: A Collection of Essays on the Illuminati, Revisionist History, and Suppressed Technologies
ASIN: 2913621058 |
Book Description
Recorded history is a finely-woven magic fabric of intricate lies about events predating the sixteenth century. There is not a single piece of evidence that can be reliably and independently traced back earlier than the eleventh century. This book details events that are substantiated by hard facts and logic, and validated by new astronomical research and statistical analysis of ancient sources.
Customer Reviews:
Calculations are only as good as your numbers.......2007-08-03
Yes, we can all agree that mainstream history is nearly 100% BS due to politics, economics, ego, problems with dating techniques, and various conspiracies. Agreed. But, I've been researching the distinct possibility that human history (in terms of civilizations) are much more ancient than we've been told, so coming across this book was very interesting to me. I wondered how Fomenko could be wrong (if at all) because he is very persuasive in his presentations. Then it dawned on me. If at previous times in prehistory, due to the various catastrophies that are well documented (comets, asteroids, planetary disruptions, plasma discharge, pole reversals, etc) the Earth was in a different position in relation to the sun, different tilt on its axis, different orbit, different rotation (in terms of velocity and DIRECTION), and the continents were in different positions, then would this not cause the ancients to see the sky (constellations) differently? In other words, is Fomenko making erronious assumptions about the physics of the Earth in pre-history, which then corrupt his data with regards to dating the relevant astrology? The last event to seriously disrupt our planet occured roughly 3500 years ago, according to other good researchers, so is it possible Fomenko has been confused by this? The vastly different physics of our planet in the not so distant past may explain this confusion, which is not to say the "mainstream" version of history is correct; on the contrary. I am not an expert in these fields, but wanted to see if this idea could spark discussion.
Pants on fire?.......2007-07-19
Will people ever read before spamming? Yes, Jesuits could not rewrite world history alone, they had help. Anyway, Dr Prof Acad A.Fomenko does not point to jesuits as the driving force of world wide history manipulation in published volumes 1,2,3;, actually he barely mentions the poor devils. Check it with 'Search inside' feature, please. China is rarely mentioned either, in fact, Dr Fomenko is completely eurocentric. Right, his theory contradicts all mainstream schools of history, because in their actual state they are all built on blatantly erroneus chronology. You don't need a mysterious cabal (conspiracy) to falsify history, the falsification is its modus operandi. It is inherent to history(ians) to falsify (distort) events, as it is inherent to humans to boast as it is inherent to power (authority) to legimize itself by referrring to glorious past made to its own order. Dr Prof Fomenko and team have identified scores of instances of such manipulation in Russian, European, etc.. history, and delivered valid statistical proof thereof. His own 'reconstruction' is completely another story. Forget c14 as a valid method of dating. W.Libby has initially discovered a brilliant method of INDEPENDENT dating. Too bad, c14 method has become a joke after a forced marrige with dendrochronology with consensual chronological scale inbuilt. Radiocarbon method can't stand blind tests, but is so very productive as a rubberstamp.
Accepted History & Chronology Must Be Changed. .......2007-04-09
There is no doubt that history as most know it is a sham, & institution's version of History both University & Church is fradulent & inaccurate. Everything was established with an agenda, The real "Dark Ages" are now when we have access to incredible amounts of information past authorities & more important 'common folk' didn't have but our institutions & educators are slow to evolve because of what has ignorantly & arrogantly been taught for too long. This is on many subjects not just Chronology.
For anyone to question "Why would a Mathematician have anything credible to say of History?" The answer is from Dr. Fomenko's preface in the book: "It would be worthwhile to remind the reader that in the XVI-XVII century Chronology was considered to be a subdivision of Mathematics." These volumes could possibly be some of the most important works to date & should be read by everyone with an interest in History, especially professors & educators who have a duty to the public. I have read both books & must say that 'Chronology 1' has some very eye opening & revolutionary information. Even if these volumes are part true the implications are profound & opens the doors to further investigations & questions which must be done. I speak several different lanquages & must say the logic Dr. Fomenko uses with "inflection" of words & words being read from left to right in one region & right to left in another then written backwards, the removal of vowels & get down to basics of words, or different cities & locations having the same name etc. is correct. Vowel usage has always been optional & varied, actually complicating linquistics & study. The first thing one has to understand is that words never had a fixed spelling in history like we do now, the spelling of words was mutable & regional, as well as names & titles of people were vast, varied & changed, NOTHING WAS FIXED or understood linear. Matters of Life & Death as well as financial profiteering yesterday & today were & are made with ignorant, illogical & conspiratorial views of history & reality, it's time people get closer to the Truth & society collectively grow up.
Very Interesting.......2007-03-07
It is a good proposal and I believe it will mature into something even better in the future. I think it deserves to be read.
History as Science Fiction.......2007-01-10
Anatoly Fomenko has written a very intriguing book, full of pictures, charts, and computer 'proof' of his thesis: backwards of AD900 we don't really know what happened or when. Between AD900 and AD1600 there is more certainty, but there is still a lot of fuzzy ground, and things don't get reliable until we get past the 1600's where the printing press made it very difficult for the perpetrators of this timeline manipulation to change anything that had been committed to print. The Dark Ages did not happen. Books were burned for a reason. One organization has doubled the actual length of its existence by expanding the real chronology. Read why.
I had always wondered why Christ died about AD33 and yet men waited until the 11th century to form the Knights Templar, the Cathars, etc and go after the Holy Land by force. Why the 1000 year gap? Turns out there wasn't more than a 10-12 year gap and he proves it using astronomy. This also implies that the planet is not as old as we have been told, and current Christian and other creationist scientists are already championing that idea without being aware of Fomenko's book. The two groups, creationist scientists and the Russian mathematical analysts corroborate each other. Fascinating.
Of course, all this flies in the face of what we have been told traditionally is the 'proper' chronology of western civilization, and most readers will experience 'cognitive dissonance' in reading this book. It means that our history going backwards from AD1600 becomes progressively more incorrect and unreliable until it cannot be trusted at all... in the space of 700-800 years.
Naturally, the curious, open-minded reader will want to know WHO did this, WHY, and did any of the events we think of as really ancient ever happen?
Dr. Fomenko is a respected scientist/mathematician at Moscow State University who has already answered these questions to the satisfaction of his initially skeptical colleagues. Most of them are now believers, a few still refuse to believe (the usual diehards), and of course the western press has ignored Fomenko's work -- for obvious reasons when you read the book. The ones who perpetrated this chronology ruse have a lot to answer for. They are still with us. That's why this book is a well-kept secret.
I gave the book a 4-star rating because I was unable to check out some of his claims; those I checked were as he said. But if even 1/3 of his claims are true, this punches a big hole in what we think is our history, the meaning of western civilization, our educational process (for repeating the ruse as gospel), and the trustworthiness of the organization that perpetrated this ruse, well-intentioned or not.
This book relates to current research into a Young Earth paradigm, to John Keel's discoveries about our planet, and Fr Malachi Martin's insights (in his now out-of-print books). We are indeed sheep who are manipulated and kept ignorant -- for a reason. While knowing what these men have to say may be the "booby prize" (as in: 'what can you do with this knowledge?'), it will provide interesting reading. Didn't someone say: "...and the Truth will set you free."?? For you to judge if this book contains the truth.
Average customer rating:
- Excellent translation with helpful apparatus
- Is Newton come on!
- An Engrossing and Time Consuming Masterpiece of Science and Literature
- I can't believe people still believe this stuff
- Wonderful overview, somewhat overwhelming.
|
The Principia : Mathematical Principles of Natural Philosophy
Isaac Newton
Manufacturer: University of California Press
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ASIN: 0520088174 |
Book Description
In his monumental 1687 work Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.
This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms.
Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.
The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.
Customer Reviews:
Excellent translation with helpful apparatus.......2007-06-11
I am writing my dissertation on Newton and have found this translation incredibly helpful and surprisingly readable.
The Principia is one of the most difficult and inaccessible books ever written -- so much so, in fact that even John Locke (himself a pretty smart guy) had to ask Christian Huygens to explain much of it to him. This difficulty was intentional, because Newton did not want people who only understood math a little to try and undermine his arguments. For this reason, he rewrote book three so that only those who had read and understood book 1 could understand its concepts.
People laugh when I tell then that I own a book with a three hundred page introduction, but it's a book that needs a three hundred page intro. In their intro, Cohen and whitman describe the history of the principia, its structure, an explanation of where prior translations have fallen short, and -- most importantly -- note which of the Principia's sections have been most significant during and after Newton's time. This is helpful so that when you get to each section, you are more likely to notice which elements may have seemed most controversial, where he is taking down Descartes' vortices, etc. I'm not saying I agree 100% with cohen and whitman on all of their points, but they have produced a work that does not simply translate the book; it also shares the writers' substantial knowledge about the principia.
This is an essential and monumental translation. If you are at all interested in early modern science, you must own it.
Is Newton come on!.......2006-08-10
What I have to say is Newton.... What else are you lookin for in a Physics book. Ohh yeah the only problem it has that its size is such a college book(huge), and it is not hard cover.
An Engrossing and Time Consuming Masterpiece of Science and Literature.......2005-09-22
Principia explains with great detail some elements of Eucledian geometry, Calculus, Fluid mechanics, Three laws of Gravity and The Method of the Universe. Newtons three hundred year old advice remains true today to read Book One and Three while skipping Book Two altogether. I can honestly say that subject is not too difficult but is guilty of being well conceived but poorly worded. The latter was Newtons own intention to make its reading very exclusive and making him less vunerable to his contemporary critiques. This version has the diagrams illustrated on multiple pages for each Scholium to avoid the constant turning of its pages. I advice a slow read of Book 1 and 3. The last Scholium of Book 3 is the best discussion as to the existance of God that I have read. Long live the spirits of Shakespeare, Newton, Vermeer and Beethoven.
I can't believe people still believe this stuff.......2005-09-20
The Principia is the basis for much of modern science. It is swallowed hook, line and sinker by mathematicians and people in physics as a 'holy grail.' It is a continuation of very old fashioned thinking, hooked on 'cause and effect' relationships, Aristotelian in nature. One would think that modern science could see through this veil of antiquity, but seemingly has not yet had the courage to do so.
It is essential reading, however, so see how far 'science' has not moved for nearly 400 years.
This particular translation is of interest in that half of the book tries to explain and support the original text. Bit too hard of a sell to justify Newton's arguments. Again, it is a must-read for anyone seeking to understand the flaws of modern 'science.'
Wonderful overview, somewhat overwhelming........2004-09-07
This is a wonderful reference, but frankly, it was overwhelming for me. Let's just say that while the first two sections of this book were clear, informative, meticulously and thoroughly footnoted and annotated, the last section-- the actual translation-- proved beyond my abilities. I'd HIGHLY recommend a college-level geometry course before attempting to read the actual translation of Newton's revolutionary work.
Frankly, the combination of archaic verbiage (Cohen kept a number of obsolescent terms in translating from the original Latin), combined with a predominately narrative style (reading in an entire paragraph what can in modern mathematical symbology be articulated in a single line) combined with my lack of working analytic geometry enabled me to follow this seminal work conceptually, but not in detail. Other reviwers have suggested that a working knowledge of calculus and Newtonian physics is required. I disagree. To follow Newton's proofs in detail, it is Euclidean geometry that is required. Newton's Principia CONCEPTUALLY utilizes calculus, but the proofs themselves are Euclidean with the concept of "infinitisimally small" added to the equation. I have single- and multi-variable calculus, linear algebra, differential equations (first-, second-order, and partial), and graduate-level statistics under my belt. Junior high school geometry is insufficient to understand his work. So far, I am studying tensors, differential geometry/exterior calculus with respect to gravitation physics without too much difficuly. Geometry!
Otherwise, this book was wonderful. Section One is a thoroughly researched historical background. Social setting, scientific thought at the time, the controversies of the times, historical perspective, insights into Newton himself. Wonderfully referenced and annotated.
Section Two is a clear "How to Read" section-- discussing section by section of the Principia what the main concepts and issues are, even critiquing Newton's flaws and obvious attempts to fill in gaps or alter data when existing data were insufficient to his theories! Cohen even guides us step-by-step through some of the more important proofs in the Principia-- proofs that for the most part I followed, except for certain geometric assumptions that I had to assume were true.
My fascination has always been relativity... which I am working on understanding now. When finished, I may read a college-level text in analytic geometry, then come back to this. But I was impressed by the sheer breadth of conceptual material Newton covered. Certainly entitling his last book of The Principia "The System of the World" was justified.
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- Not Helpful - Except as a Footstool
- Not good for me
- What a great reference book
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First Course in Continuum Mechanics (3rd Edition)
Y.C. Fung
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ASIN: 0130615242 |
Customer Reviews:
Not Helpful - Except as a Footstool.......2007-01-11
I purchased this book for the first part of my Biomechanics class. We raced through the first 10 chapters, and each one was very difficult to understand. Fung skips steps in his derivations which, for an undergraduate, made studying more confusing and time consuming.
Probably the most frustrating part (at least for an engineering student) of the text is that none of the equations (except the ones from Chapter 1) are applied to anything. Not even for the problems at the end of each chapter. The book is just a long list of mathematical derivations regarding hypothetical blobs, I mean "bodies of mass", in space.
In summary, I wish this book had a lot more examples pertaining to applying all the equations written in this book. Perhaps application of these equations will be used in the second part of my Biomechanics class, where we use yet another Fung book. I hope so.
Not good for me.......2005-03-08
I am the matematican and I had to start learning C.M. from this book. And I didn't like it. First chapter is some very simplified approach to linear elasticity, but it doesn't developed any intuition and reading it was waste of time. Stretch tensor was introduced with avoided notion of polar decomposition. This presentation was far less intuitive for me. The linear algerbra behind primal stresses is described and computed in details, but nowadays the student involved in computer methods and engineering must know this things in my opinion. And the language is not instuitive: me, matematican, couldn't do most of exercises after reading chapter they relate to. It tasted like old-fashioned book.
What a great reference book.......2000-07-05
I thought that this book was a great reference source and it has come in handy for me many times. I would be willing to buy it if I could find a copy, unfortunately it is out of stock, so I will have to return to the library every time I need it.
Average customer rating:
- A great text
- Excellent book
- Excellent Text
- Poorly written and bound
- Even if you like this approach, do not buy this edition
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Classical Dynamics: A Contemporary Approach
Jorge V. José , and
Eugene J. Saletan
Manufacturer: Cambridge University Press
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ASIN: 0521636361 |
Book Description
Recent advances in the study of dynamical systems have revolutionized the way that classical mechanics is taught and understood. This new and comprehensive textbook provides a complete description of this fundamental branch of physics. The authors cover all the material that one would expect to find in a standard graduate course: Lagrangian and Hamiltonian dynamics, canonical transformations, the Hamilton-Jacobi equation, perturbation methods, and rigid bodies. They also deal with more advanced topics such as the relativistic Kepler problem, Liouville and Darboux theorems, and inverse and chaotic scattering. A key feature of the book is the early introduction of geometric (differential manifold) ideas, as well as detailed treatment of topics in nonlinear dynamics (such as the KAM theorem) and continuum dynamics (including solitons). Over 200 homework exercises are included. It will be an ideal textbook for graduate students of physics, applied mathematics, theoretical chemistry, and engineering, as well as a useful reference for researchers in these fields. A solutions manual is available exclusively for instructors.
Customer Reviews:
A great text.......2007-08-28
As some readers noted and others found to their frustration, this is an advanced text. Familiarity with mechanics, tensor notation, and similar are helpful to get the most out of this text. That said, it is a coherent exposition of classical mechanics in a modern light and will help the student develop a more advanced outlook on mechanics problems. I used it to study for my PhD qualifying examination.
Excellent book.......2007-02-08
This is a fantastic book, but one will need some background in differential geometry, calculus of variation and mechanics to truely appreciate it.
Excellent Text.......2006-10-27
This book provides a very easy to read introduction to the ***geometry of physics*** in the setting of mechanics. Most of the explanations that discuss manifolds are very easy to grasp and the level of the book is sufficient to take one into a much deeper understanding of mechanics and physics in general. No book is perfect (even the so called classics) and there are a few minor errors but the big picture is clear. If you are looking for a really good text that will give you another perspective on mechanics then I highly recommend this text. Also note that I have had very good durability with my copy of the paper-back text. It has endured about 7 years of heavy use and is essentially in perfect condition.
Poorly written and bound.......2006-10-05
If this book is not required for your course, do not waste your money on it. Though it covers more than Goldstein, it does so quite poorly. You will learn more from two pages in Goldstein than an entire chapter in this book. The writing is unclear and the coverage of topology is so scant that its appearance is more of a hinderance to understanding than an aid. Furthermore, the book was so poorly bound that it started to fall apart one semester into the course.
Even if you like this approach, do not buy this edition.......2005-10-06
This book is, to say the least, okay. Yes, other reviewers are right when they say it's much better than Marion & Thornton. But Marion & Thornton, I think, is geared toward a less sophisticated audience, whereas this book is geared toward graduate students and beyond. It is written essentially at the level of Goldstein, but offers more insights into Topology. Goldstein hardly mentions topology.
So, because of this, one would think that Jose and Saletan would be better suited for students of theoretical and mathematical physics. But it's not. Jose and Saletan's excursions into geometry and topology are mediocre, at best. They leave out enough details that a real book on differential topology for physicists is required to gain any insight or intuition on the subject. Their transitions from pure physics to these mathematical subjects are clumsy and contrived, and they do not reveal anything that's too much more profound than if they hadn't brought up the subject at all.
And in comparing, on a purely physical level, this book to the book that sets the standard for classical mechanics, Goldstein, Jose pales in comparision. Goldstein keeps the reader fixed on a physical goal, but Jose and Saletan introduce unnecessarily complicated notation at times, and introduce ideas and concepts in a way that seems to defy logic.
And on top of all this, the paperback edition fell apart on me after less than a month of use. Some of the other students in my class who weren't as careful with their books as used them more heavily could even make it last 2 weeks before the pages were falling out of the cover.
So in summary, if you like books that cover a smattering of topics with no real rhyme or reason, or you need a good reference on classical mechanics and some of the more formal mathematics involved, then this is the book for you. But if you buy it, definitely don't buy this edition, at least if you want it to last. And if you're trying to learn classical mechanics from this book, make you you have a copy of Goldstein and a copy of Schutz's "Geometrical Methods of Mathematical Physics" available.
Book Description
Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
Customer Reviews:
Classic and essential read for diffusion problems!.......2006-06-03
Crank's Mathematics of diffusion is a comprehensive summary of solutions to several diffusion related problems. The insights offered are clear and logical, mathematics is at a level that anyone with a college level understanding of calculus (and differential equations) can comprehend and appreciate. The book is particularly useful for researchers and experimentalists who wish to design measurements to understand diffusion behavior into pratically realizable substrates. Time dependent, concentration dependent and temperature dependent effects are included and non-Fickian behavior is discussed. Moving boundaries, sorption and problems involving diffusion in heterogeneous media are also described. Of course, the discussions are neither exhaustive nor recent results feature in the book, for which one must look on his own. This is more like a basic text, and must be used likewise.
The book does not discuss mass transfer under convective flow conditions, and does not incorporate discussion of experimental methods used to measure concentration gradients. Yet it is an essential text to compare many observed concentration profiles to the known solutions plotted in the book. Mass Transfer by Hines and Maddox can be used as supplement for looking at chemical engineering type mass transfer problems. For anyone familiar with an excellent text by Carslaw and Jaegar on the Conduction of heat in solids, Crank's text provides a nice mapping of heat transfer problems discussed in that book to diffusion related problems. The mathematics of diffusion, once mastered, is useful in understanding similar problems in heat problems, momentum transport etc. For everyone involved in studies involving diffusion, Crank's treatise is a must have, must read book.
So many examples.......2006-04-21
This book does it all. Any problems you have Crank has got you. Don't read it without knowing transport though, he solves mad prolems but that's really it. No insight or anything like that. Who cares he does MAD problems
Superior text on diffusion.......2005-10-25
This text is a great resource for understanding diffusion. It is accessible to your average scientist (my background is soil science), but you will have to do some work if your not a mathematician. Don't let that stop you though, this is THE text on diffusion maths. It's an invaluable tool.
A great reference resource.......2001-06-30
This classic diffusion text continues where many other texts end, and covers a broad variety of problem types. This is an excellent resource for diffusion solutions for less-common boundary conditions and assumptions, including thorough mathematical developments of the solutions and many references to the original works. Non-mathematicians will often need to roll up their sleeves to digest portions of the derivations, but the insight into the solution processes is often very revealing. This makes this book an invaluable reference, although it is probably not well suited as your only book on diffusion.
Classic solutions to diffusion problems........1997-10-27
This book is a classic, collecting analytical solutions to common differential equations arising from common problems in mass transport.
Book Description
Well-organized text designed to complement graduate-level physics texts in classical mechanics, electricity, magnetism, and quantum mechanics. Topics include theory of vector spaces, analytic function theory, Green's function method of solving differential and partial differential equations, theory of groups, more. Many problems, suggestions for further reading.
Customer Reviews:
Excellent math reference for physicists.......2007-08-06
As the title says, it's one of the best books for mathematics in physics. Not simple at first glance (not indicated for first students, I guess), but good to review some math...
Great Physical Mathematics.......2007-07-31
Great mathematical physics book. I bought it as a supplement text for a mathematical physics course as well as help in quantum physics course. Got me through a lot of Quantum homeworks. I still use this book as a reference for math and physics concepts. The ordering of the book is a little weird and skips the some of the basic concepts in linear algebra but explores a wide variety of other topics including Green Functions, Cauchy-Riemann, Fourier analysis and transforms, Dirac notation, ect. At the end of topic the book works through examples. A must have for physicist, engineers, and mathematicians.
astonishing!.......2007-06-08
this book chose the best way to convey the mathematics behind a physical idea just by proving it through the mathematics involved . With that , one has a lucid idea about the language of physical laws . I can simply assure anybody who wants to buy this book that it is worthy .
The real deal........2007-05-16
Over my head, but clearly a solid rung in the ladder for those who are capable of mastering quantum physics. Not that I couldn't - it would just take 10-20 years that I don't have.
Dated but a Great Reference.......2007-03-20
There's hardly anything in this book (two volumes bound as one) that you won't find of use sometime in your career as a physicist or engineer. I especially liked the authors' lucid treatment of Green's functions, a subject that for some reason keeps escaping my aging mind. Basically an undergraduate text but can also be used as a beginning graduate reference.
Customer Reviews:
Good Reference Textbook.......2007-06-12
I have found this textbook to be invaluable both as a tool for understanding continuum mechanics and as a reference book. The appendices on spherical and cylindrical coordinate systems are especially useful since I have seldom seen this information in other texts. The approach to continuum mechanics presented in this book is not as mathematical as in some other texts but I see this as a positive (at least for those of us with engineering backgrounds). I have had to buy other continuum textbooks for courses (Mase and Gurtin come to mind) but none of them have been as useful to me as Malvern either in my research or as a study tool (although I have used the text for a long time and had to study it for the PhD qualifying exam so I am admittedly more familiar with it than with the other texts). I would highly recommend this book as being a very useful addition to any engineer's (or anyone who is fascinated with continuum mechanics for some unfathomable reason) library.
excellent but book falls apart.......2007-05-27
This book was fine for learning continuum mechanics, but it fell apart even with very careful treatment. It is irresponsible of them to sell it with such a fragile binding.
Continuous Mechanics 101.......2007-01-16
This book dates back to 1969! Nonetheless -- probably because of that -- it remains fundamental. It remains great!
It is what it says: an INTRODUCTION to the mechanics of the continuous.
STOP! I said "mechanics of the continuous" -- "basic" here has a different meaning...
Yes, there are more advanced and more recent publications, but they are of no use unless you've read and understood the fundamentals. As always... ;)
Tensors, Stresses, Strains, Deformations, Constitutive Equations, Fluid Mechanics -- it's all there. The "solids" part is great: good language, good examples, etc. I've enjoyed it. I still am enjoying it.
I suspect the "fluid" part would be just as good, but I have not had the opportunity to study it, so I can't honestly say.
Excellent text, with a small problem.......2006-10-11
I am enrolled in a continuum mechanics class that is using this text as its main reference, and I am very glad for the excellent descriptions and derivations of results.
However, this book has two problems, one the fault of the publisher, the other of the author.
The fault with the publisher is simply that the book is a paperback and the binding in very poor. A hardback copy of the original book would be much sturdier. Instead it costs nearly $100 for a paperback with binding that disintegrates with minor use.
The fault of the author, which has a lot to do with how I learn material, is mainly a problem with notation. My biggest problem is in chapter 4 on strains and deformation, when future displacements represented by lowercase leters (x) and initial displacements by uppercase letters (X). This small lack of foresight by the author in choosing a notation with a more obvious difference between initial and final displacements has caused me pain in being able to follow what is happening in the book and in class, mainly because I have difficulty distinguishing between capital X's and lowercase x's when thrown in large equations. My recommendation would have been to use an entirely different character to represent initial conditions.
That said, it is still a very good book, with notation issues.
A nice copy for an out-of-print book.......2006-03-25
The bobbk is brand new, though a fascimle copy. Considering it is an out-of-print and a rare book, we shouldn't expect something better than that.
Average customer rating:
- Objecton
- WORTHLESS
- Kalyana Babu
- no title
- An excellent classic in Continuum Mechanics
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An Introduction to Continuum Mechanics (Mathematics in Science and Engineering)
Morton E. Gurtin
Manufacturer: Academic Press
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Nonlinear Solid Mechanics: A Continuum Approach for Engineering
ASIN: 0123097509 |
Book Description
This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the classical theories, the treatment is modern with a major emphasis on foundations and structure
Customer Reviews:
Objecton.......2005-03-11
Regarding math in this book, I compeletly disagree with the reviewer from Rotterdam. Gurtin introduces gradients of tensor functions in much more general way than many books on the cont. mech. He also introduces div,curl,outer product operations differently than just by giving appriopriate formulas with partial derivatives. So my match taste is compeletly different and I recommend this book.
WORTHLESS.......2005-03-01
This book could as well be sold in the 'cooking books' section. Does not delve deeply into the math and only provides clear-cut recipes. Does not inspire the reader to really think about the stuff. I would recommend this book to nobody.
Kalyana Babu.......2004-06-19
When I took a class on Solid mechanics, during the first few lectures the instructor (who himself is quite well-known) was literally chanting "Gurtin". When I read a couple of chapters myself, I understood why my professor likes this book.
Gurtin is internationally known for his contributions to Continuum mechanics. This is a very good book. The style is very good. Many journal papers on continuum mechanics and finite elements, cite this book.
Any one who want to get a thorough introduction to continuum mechanics should have this book. This book is also highly recommended to those who are interested in nonlinear finite elements.
The only problem with book is that it is little expensive (around $115).
no title.......2001-01-09
This book is compact, yet explains the generalizations of linear tranfsormations in a thorough, concise way. This makes it a nice "transition" text from vector analysis and introductory tensor courses into more advanced expositions on tensors. I can't vouch for Malvern, and this probably isn't the forum to "correct" other reviewers. All in all this is one of the better math books out there.
An excellent classic in Continuum Mechanics.......2000-09-21
I have read this book from cover to cover and have done all the exercises in it and cannot find a better book to recommend to other scientists wishing to learn continuum mechanics! I believe the book contains enough details, though one definitely has to complete the exercises after each chapter to get an understanding of how brilliant is the author's approach to the subject. It is a concise, yet at the same time a very complete introduction into the topics in Continuum mechanics. Every student studying mechanics should be proud to own this classic!
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