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
|
History: Fiction or Science? (Chronology, No. 1)
Anatoly Fomenko
Manufacturer: Mithec
ProductGroup: Book
Binding: Paperback
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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.
Book Description
The fourth edition contains seven new sections with chapters on General Relativity, Gravitational Waves and Relativistic Cosmology. The text has been thoroughly revised and additional problems inserted.
The Complete course of Theoretical Physics by Landau and Lifshitz, recognized as two of the world's outstanding physicists, is published in full by Butterworth-Heinemann. It comprises nine volumes, covering all branches of the subject; translations from the Russian are by leading scientists.
Customer Reviews:
Physics/math study.......2007-02-22
This is an absolute necessity for a graduate student! Studying math/physics. One of the very best available. I was very pleased in the condition of the book, and the price made it affordable for me.
The work of a master.......2006-12-26
Landau's approach to Classical Field Theory demonstrates his ability to be clear, concise, and elegant without drowning out the physics with math. I will say, however, that Landau requires a certain maturity to appreciate his style (same goes for Rudin's books of analysis). I would recommend this title to those with a working knowledge of classical E & M, vector/tensor analysis, and of special relativity. It is also wise to work through the author's Theoretical Mechanics to get a taste of their style. I believe, contrary to many, that this book is appropriate for self study if one is willing to do the work (not only the exercises but following along pencil in hand). I suggest reading a passage and then covering it up and then trying to do the derivations by hand. I also suggest the study of Hermann Weyl's Space-Time-Matter for more on GR. My only complaint is the quality of print, which has is not the fault of the authors. It is especially annoying at first.
Overrated for Learning.......2006-12-02
L&L, while elegant, is umotivated in the justifications that start their derivations. If the subject matter is grasped, then L&L is excellent for its directness. In brief, the volume is far from a learning tool.
My comment is not about the content, but about the edition........2006-08-15
First, I love this book, it is superb. If the comment is only on the contents, I'll give 5 stars without any hesitation.
However, one star is taken because I seriously despise the way the publisher treating this book, or, the entire classic Landau series. Some of the letters are vague. All letters are not dark enough, even a xerox copy is darker than this book! Some straight lines are broken.
Why can't the publisher make the classic of Landau be their own classic?
Russian School of Physics.......2006-03-27
I bought this book for a graduate E & M physics class and found it utterly useless. Maybe it would be good for a math class, but even then I doubt it.
Book Description
From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2
Customer Reviews:
Will never collect dust...........2001-06-03
This book has been a continuing source of information and guidance for 18 years now. Students and researchers in many different fields have used this book due to its breadth and detail of coverage. The book does require a fairly advanced mathematical background, but the authors do include a glossary for the reader lacking this.
Chapter one is an overview of differential equations and dynamical systems. All the concepts needed for a study of such systems are discussed in great detail and also very informally, stressing instead the understanding of the concepts, and not merely their definition. Some of the proofs of the main results, such as the Hartman-Grobman and the stable manifold theorems, are omitted however.
This is followed in Chapter 2 by a very intuitive discussion of the van der Pols equation, Duffings equation, the Lorenz equations, and the bouncing ball. Numerical calculations are effectively employed to illustrate some of the main properties of the systems modeled by these equations.
A taste of bifurcation theory follows in Chapter 3. Center manifolds are defined and many examples are given, but the proof of the center manifold theorem is omitted unfortunately. Normal forms and Hopf bifurcations are treated in detail.
Averaging methods are discussed in Chapter 4, with part of the averaging theorem proved using a version of Gronwall's lemma. Several interesting examples of averaging are given, along with a discussion of to what extent the bifurcation properties of the averaged equations carry over to the original equations. Most importantly, this chapter discusses the Melnikov function, so very important in the study of small perturbations of dynamical systems with a hyperbolic fixed point. A full proof that simple zeros of the Melnikov function imply the transversal intersection of the stable and unstable manifolds is given.
Chapter 5 moves on to results of a more purely mathematical nature, where symbolic dynamics and the Smale horseshoe map are discussed. The proofs of the stable manifold theorem and the Palis lambda lemma are, however, omitted. Markov partitions and the shadowing lemma are discussed also but the latter is not proven. The authors do however give a proof of the Smale-Birkhoff homoclinic theorem. A purely mathematical overview of attractors is given along with measure-theoretic (ergodic) properties of dynamical systems.
The (local) bifurcation theory of Chapter 3 is extended to global bifurcations in the next chapter. A very detailed discussion of rotation numbers is given but the KAM theory is only briefly mentioned. The main emphasis is on 1-dimensional maps, the Lorentz system, and Silnikov theory. The authors give a very detailed treatment of wild hyperbolic sets.
The book ends with a discussion of bifurcations from equilibrium points that have multiple degeneracies. The discussion is more motivated from a physical standpont than the last few chapters. But some interesting mathematical constructions are employed, namely the role of k-jets, which have fascinating connections with algebraic goemetry, via the "blowing-up" techniques.
The concepts in the book have proven to have enduring value in the study of dynamical systems, and this book will no doubt continue to serve students and researchers in the years to come.
Background.......2001-01-11
Guckenheimer is one of my favourite book in nonlinear science. Another absolute reference. This books deserved to be milestone in nonlinear dynamics.
Changed the Nature of Science As We Know It........2000-01-26
This book has clearly withstood the test of time in over 15 years of continuous publication. On my bookcase, it stands among my most treasured and well-worn classics of fluid mechanics and differential equations--Hirsch and Smale, Birkhoff and Rota, Chandrasekhar, Bachelor, Lamb, Landau and Lifschitz... It changed many of the unquestioned assumptions of many fields besides my own. It redefined the terms of many scientific debates. And, it changed my life.
I obtained Guckenheimer and Holmes' classic when it first came out in 1983. It was so clear, concise and intellectually engaging that it inspired me to wonder whether the system of equations I was studying for my Ph.D. research at the time--the governing equations of thermal convection at infinite Prandtl number (which govern plate tectonics in the earth's mantle)--might have a chaotic solution. Guckenheimer and Holmes outlined a clear methodology to find out the answer.
My advisor at the University of Chicago thought not. Only steady solutions could be admitted in the absence of external forcing due to the lack of momentum transfer--this belief was widely held at the time, despite certain oscillatory solutions found by Fritz Busse (then at UCLA) and chaotic solutions found in certain limiting cases by Andrew Fowler at Oxford.
In despair, I left my studies at Chicago to work as a Unix sysadmin at my undergraduate alma mater --Cornell, where (unbeknownst to me when I took the job) John Guckenheimer had just relocated from UCSC. Delighted to find him there, I sat in on his courses. Later, with his help, I wrote a proposal to NASA to support the completion of my thesis--with him and Donald Turcotte serving as my advisors.
The 3-year fellowship was approved, and during this time I demonstrated and published that thermal convection at infinite Prandtl number--a condition that pervades many planetary interiors including our own--is indeed chaotic in the absence of external forcing.
Prior to this, planetary convection codes primarily looked for steady state solutions. Since, numerical analysts in the field have upgraded to time-dependent models. The source of chaos at infinite Prandtle number I identified--the heat advection term--is now widely accepted as the source of what is now called "Thermal Turbulence" in planetary interiors.
The defense at Chicago was quite an event. Since my new advisors were flown in from Ithaca, you might say my thesis--The Nonlinear Dynamics of Thermal Convection at Infinite Prandtl Number--passed with flying colors. Someone at Chicago might disagree, but his opinion is irrelevant.
Demonstrating the many possible solutions to a single set of equations and showing how the choice of solution depends very sensitively on the rather poorly-constrained initial conditions of the earth--does render mantle modeling itself rather superfluous and indeed, scientifically suspect. However, many important professors who stayed in the field nonetheless continue to run their time-dependent mantle convection codes, and never cease to wonder at the fact that they all get different results. It's rather amusing, really.
When all that too has passed away, the truths so beautifully put forth in Guckenheimer and Holmes will remain. Like I said, it's a classic. Furthermore, being number 42 in its series, it's got to be the answer to the ultimate question of life, the universe and everything. Was for me, anyway.
Basic and clasic.......1999-08-22
For the moment it is "the" book on Dynamical Systems, through the world. Its first chapter is a good introduction on the mathematics needed to aboard the subject. The second introduces chaos, and the rest is for a good understanding of the newest and prolific science.
Customer Reviews:
Thetre history never looked so good.......2000-08-22
Top notch book, a comprehensive look at theatre history. The editors have improved a lot since their last edition. I like to keep mine under my pillow.
Book Description
This volume combines the enlarged and corrected editions of both volumes on classical physics of Thirring's famous course in mathematical physics. With numerous examples and remarks accompanying the text, it is suitable as a textbook for students in physics, mathematics, and applied mathematics. The treatment of classical dynamical systems uses analysis on manifolds to provide the mathematical setting for discussions of Hamiltonian systems, canonical transformations, constants of motion, and pertubation theory. Problems discussed in considerable detail include: nonrelativistic motion of particles and systems, relativistic motion in electromagnetic and gravitational fields, and the structure of black holes. The treatment of classical fields uses the language of differenial geometry throughout, treating both Maxwell's and Einstein's equations in a compact and clear fashion. The book includes discussions of the electromagnetic field due to known charge distributions and in the presence of conductors as well as a new section on gauge theories. It discusses the solutions of the Einstein equations for maximally symmetric spaces and spaces with maximally symmetric submanifolds; it concludes by applying these results to the life and death of stars.
Customer Reviews:
enjoyable reading for a theorist.......2006-01-28
For theoretical physicists, Thirring has provided an updated third edition of his successful monograph. It offers you an indepth treatment of dynamical systems, presented with good rigour. The emphasis is on the behaviour of Hamiltonian systems and electromagnetic systems, on a manifold.
He discusses both non-relativistic and relativistic particle motion. For the latter, the text does not treat just the special relativity case of zero gravity. Einstein's Field Equations are used to derive motion in a Schwarzschild field around a large mass. A entire chapter is devoted to General Relativity. The treatment here provides a stronger math framework than that given by the standard GR texts of Misner, Thorne and Wheeler or Weinberg.
If you enjoy maths, which you undoubtedly do as a theorist, then Thirring's presentation can be a pleasure to study.
The way mathematical physics ought to be taught.......2001-12-29
This book represents how a graduate course in mathematical physics ought to look like. It deals with two topics with which the reader should be very familiar, physics-speaking: particle dynamics and classical fields (e.g. Maxwell's equations). Therefore the author is justified in neglecting the physics and concentrating on the mathematics; in fact, introducing the mathematical tools using such old friends makes it easier for the reader to fully understand the mathematics, and the way it relates to the physics.
There are many books on the market that teach differential geometry - Frankel's "geometry and physics", Bishop and Goldberg's "Tensor analysis on manifolds" and countless others - but this book is something more: it deals as much with mathematical physics as it deals with the mathematics. For instance, it formulates hamiltonian mechanics for a particle in an electromagnetic field and proceeds to solve the cases of the constant field, coloumb field, travelling plane disturbances and more, all using the modern language of differential geometry all physicists should know.
Although the book contains an introduction to differential geometry - which is very nice, actually, with plenty of examples and such - I strongly advise the reader to use another book as a main source book for diff. geometry, and to use Thirring's book as a supplement. Thirring's strength is not in teaching diff. geometry, it is in showing how to apply it to physics.
It almost goes without saying, p.s., that the reader should have a good grasp of calculus in R^n, topology and linear algebra before approaching this book.
Very good and useful book.......1999-10-28
This book introduces the physicists applications of differential geometry in physics.It is a complete book in classical field theory.Moreover it is very interesting to see the geometry of relativity.I highly recommend this book for the theoretical physicists and the mathematicians interested in physics.In short this is a very useful book.
Good for some, but not most........1998-10-15
I appreciate mathematical rigor insofar as it serves as a deterrent to sloppy reasoning, but I think this book represents a case of the author focusing on the mathematics to the point of obscuring its physical significance. Maybe I owe it to my relative ignorance of differenial geometric concepts, but I found this book practically worthless to my understanding of dynamical systems. I tend to agree with David Griffiths when he states that mathematics is a tool to the physicist; this text makes it the sole focus.
Classical physics wrote anew by a master.......1998-07-27
Walther Thirring is a very well known quantum field theorist. He made important contributions to applications of dispersion relations to particle physics, wrote a book on quantum electrodynamics that was so good that Dyson compared it to Pauli's famous quantum mechanics article in the Handbuch der Physik, invented the famous Thirring model, a two-dimensional quantum field with exact (that is, non perturbative) solutions, and produced, with Elliot Lieb, the best demonstration of the stability of matter.At a point in his career he decided to show his fellows what they were losing by ignoring the modern mathematics. Having lectured in mathematical physics, he published his lecture notes, and, later, transformed them into a book of 4 volumes. The present book is a translation, improvement and fusion of the two first volumes, covering Dynamical Systems, that is advanced mechanics and field theories, meaning electrodynamics, gravitation and a little of classical gauge field t! heory. Having done work qualified as high-class mathematics, he is one of the very few scientists of our day who excelled both in physics and mathematics. The book reflects this virtue. I would venture to say that his personal basic reference was the monumental "Traite d'analyse" by Jean Dieudonne'. Not only is this the first of his references, but the way of introducing differential manifolds, and, particularly, tangent spaces, is very close to Dieudonne's. Once you learn what Thirring is offering you, you will adopt the new methods. They are much more natural, which, in mathematics, is tantamount to being deeper. And the methods are also much more efficient for calculations. Take this problem: given a (semi-)riemannian metric, compute the components of the curvature tensor (a problem central to general relativity). You can do it by using classical tensors, as most textbooks do (take Weinberg, for instance), or use Cartan structural equations, which use exterior di! fferential forms (as in Thirring). I benchmarked it: for th! e usual metrics, you gain, in speed, a factor 5 (by following Thirring). Still more important, being much shorter, the calculation is much less prone to errors. In this text I especially liked the sections on the Action Principle and the Noether theorem, in the garb of differential forms, which is, no doubt, their natural language. This is a very compact book. You are supposed to work hard, and it is absolutely essential that you work out the exercises (all of them) and check the solutions. But, of course, this advice applies to every book!
Book Description
'Classical' and 'archaeology' are both terms which call for definition. Here the term 'Classical' is interpreted as widely as possible to include material relating to periods from the Bronze Age to the early Byzantine, and to countries from Britain to Turkey. Coverage of 'archaeology' will range from the discovery of sites to conserving and presenting them, from the viewpoint of practising archaeologists working in various parts of the ancient Greek and Roman worlds. This book combines explanation of methods and techniques with case studies of particular sites which demonstrate different themes in, and approaches to, the overall subject. Principles and methods including prospecting, excavation, dating, stratigraphy and presentation are considered alongside an account of the development of Classical archaeology - as seen in the work of famous pioneers such as Evans and Schliemann - to the more scientific approaches used in contemporary projects. Case studies include sites which are currently being studied by the authors. Aimed at A-level students and first-year undergraduates as well as those with a general interest, this is a lively introduction to the ways in which archaeologists interpret Classical sites, enabling informed observation and enhanced understanding of technical publications. It is profusely illustrated and benefits from topical research, with the inclusion of results of current fieldwork.
Average customer rating:
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Wave Fields in Real Media, Volume 38, Second Edition: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media (Handbook of Geophysical ... Exploration: Seismic Exploration)
Manufacturer: Elsevier Science
ProductGroup: Book
Binding: Hardcover
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ASIN: 0080464084 |
Book Description
This book examines the differences between an ideal and a real description of wave propagation, where ideal means an elastic (lossless), isotropic and single-phase medium, and real means an anelastic, anisotropic and multi-phase medium. The analysis starts by introducing the relevant stress-strain relation. This relation and the equations of momentum conservation are combined to give the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. The book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful.
* Presents the fundamentals of wave propagation in anisotropic, anelastic and porus media
* Contains a new chapter on the analogy between acoustic and electromagnetic waves, incorporating the subject of electromagnetic waves
* Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil
Book Description
Non-Linear Field Theories of Mechanics has become a classic treatise in the field of continuum mechanics. Originally published nearly forty years ago, it probably has influenced practically all subsequent monographs on the subject. Its main parts are:
- The General Theory of Material Behavior
- Elasticity
- Fluidity
This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by W. Noll and by S. Antman who describe the monograph’s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also greatly contributed to the unification and standardization of the concepts, terms and notations in the field.
Customer Reviews:
The bible of rational nonlilnear continuum mechanics.......1998-11-14
If you read no other book on continuum mechanics, read this. The only other book you need read is The Classical Field Theories by Truesdell & Toupin. One must expend effort in reading The Non-linear Field Theories, but one is rewarded with keen insights and the ability to achieve and understand new results.
The bible of continuum mechanics!.......1996-10-28
The Nonlinear Field Theories of Mechanics is THE most
comprehensive book on continuum mechanics to date.
The multitude of books that have been written on continuum
mechanics since the publication of this book (almost forty
years ago) derive both their content and inspiration from
this book. The Nonlinear Field Theories of Mechanics is an
invaluable reference, and any serious researcher in
continuum mechanics ought to have a copy of this book.
This is the bible or the quran or the gita of continuum
mechanics.
Book Description
Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular n-gons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals and beyond. The logical pathway is historic, but the terminology is consistent with modern treatments. No previous knowledge of algebra is assumed. Notable topics treated along this route include the transcendence of e and p, cyclotomic polynomials, polynomials over the integers, Hilbert’s irreducibility theorem, and many other gems in classical mathematics. Historical and bibliographical notes complement the text, and complete solutions are provided to all problems.
Customer Reviews:
Some good classical algebra.......2006-12-22
First we study the classical construction problems. With ruler and compass we can construct precisely the numbers built up by rational operations and square roots, since our construction tools are "limited to degree two". For some specific number it could be very easy to prove that it is not constructible. This is the case for the cube root of 2 and the cosine of 20---the constructions equivalent to the classical problems of doubling the cube and trisecting an angle. These proofs are based on first proving that if we were trying to reach these number from the rationals then one more square root could never be the final step, so if they were constructible they must have been among the rationals in the first place, and since they are clearly irrational it follows that they are not constructible. But this approach does not work for proving that it is impossible to construct pi (square the circle). Here a great detour is required, using the "upper bound" on constructibility that any constructible number is algebraic. The proof that pi is not algebraic doesn't have anything to do with field theory; instead, for example, we are asked to work out a chunk of complex function theory in the exercises (complex exponential function, fundamental theorem of calculus). The next chapter follows a similar pattern: field theory is introduced in all its glory, and we wish to use it to study construbtibility of n-gons. In accordance with the above, "constructible" is now equivalent to "obtainable by field extensions of degree two", and this allows us to rule out many n-gons as impossible. But this fancy-pants theory cannot help us prove that the 2^n Fermat prime n-gons are in fact constructible---here we cannot improve on the ingeniously contrived proof of Gauss. So far, then, "field theory" is a bit of a failure since it had nothing to do with the proofs of our two most interesting theorems---indeed, its pointlessness forces Hadlock to resort to two "it is natural to ask..." proclamations in two pages (pp. 72-73). But we soon see that field theory is not entirely useless when we study the classical Galois theory of solvability by radicals. This is a standard treatment just as in any Galois theory textbook, but we then go deeper into follow-up questions: unsolvability by radicals of the general quintic of course follows from the unsolvability of its Galois group S_n, but then we set out to find specific polynomial equations that are not solvable by radicals. Some hard work with classical algebra and analysis enables us to prove Hilbert's irreducibility theorem: for any irreducible polynomial in n+1 variables we can pick rational values for n of the variables so that the resulting polynomial in one variable is still irreducible. With this result we can construct a polynomial of degree n whose Galois group has order at least n!, so it must equal S_n, so all roots are interchangeable, so all roots belong to the same factorisation. It follows that there are equations of any degree greater than 4 with no roots expressible in terms of radicals and that there are unconstructible numbers of degree 2^m (not surprising since the general solution of the quartic is based on reduction to a cubic and so involves cube roots).
Outstanding! One of my favourites!.......2004-04-12
This book gives a very concrete intro to Galois theory & field theory & would be an excellent supplement to an advanced course on algebra. It has some group theory in it but its emphasis is on field theory because its focus is ONLY on Galois theory & its applications, so you'll have to find another book on general abstract algebra. But for Galois theory this text really helped me out with its fairly concrete treatment. Look at this to get a more tangible version of more abstract stuff. Each chapter has a bibiolgraphy at the end of it & each one is a goldmine for interesting stuff about abstract algebra, history, numbers, etc.(...) One could also think of this book as a jumping-off point to all kinds of other stuff it scratches the surface of.
An excellent introduction to the field (pun intended).......2003-02-08
Hadlock writes in a brisk, thorough style, leaving no stone unturned in what I believe to be an excellent introduction to the subject. I bought this book as an undergraduate student, upon completion of the first course in modern algebra, and it has proved to be an indispensable tool since.
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