Introduction to the Mechanics of a Continuous Medium (Prentice-Hall Series in Engineering of the Physical Sciences)
Average customer rating: 4 out of 5 stars
  • Good Reference Textbook
  • excellent but book falls apart
  • Continuous Mechanics 101
  • Excellent text, with a small problem
  • A nice copy for an out-of-print book
Introduction to the Mechanics of a Continuous Medium (Prentice-Hall Series in Engineering of the Physical Sciences)
Lawrence E. Malvern
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Paperback

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ASIN: 0134876032

Customer Reviews:

5 out of 5 stars 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.

1 out of 5 stars 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.

5 out of 5 stars 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.

4 out of 5 stars 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.

4 out of 5 stars 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.
An Introduction to Continuum Mechanics (Mathematics in Science and Engineering)
Average customer rating: 4 out of 5 stars
  • Objecton
  • WORTHLESS
  • Kalyana Babu
  • no title
  • An excellent classic in Continuum Mechanics
An Introduction to Continuum Mechanics (Mathematics in Science and Engineering)
Morton E. Gurtin
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover

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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:

5 out of 5 stars 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.

1 out of 5 stars 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.

5 out of 5 stars 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).

4 out of 5 stars 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.

5 out of 5 stars 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!
Introduction to Aircraft Flight Mechanics: Performance, Static Stability, Dynamic Stability, and Classical Feedback Control (Aiaa Education Series)
Average customer rating: 5 out of 5 stars
  • Excellent Flight Mechanics Book!!
Introduction to Aircraft Flight Mechanics: Performance, Static Stability, Dynamic Stability, and Classical Feedback Control (Aiaa Education Series)
Thomas R. Yechout , Steven L. Morris , David E. Bossert , and Wayne F. Hallgren
Manufacturer: AIAA (American Institute of Aeronautics & Ast
ProductGroup: Book
Binding: Hardcover

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ASIN: 1563475774

Book Description

This new textbook is based on a successful 15-year approach to teaching aircraft flight mechanics at the U.S. Air Force Academy.

Intended for junior-level students presented with the material for the first time, the book clearly explains all the concepts and derivations of equations for aircraft flight mechanics. The material progresses through aircraft performance, static stability, aircraft dynamic stability, and feedback control. The chapters present real world applications and contain problems.

Each year the Academy's students are placed with industry, NASA, and Air Force labs and test organizations during the summer immediately following their junior year. The hosts are asked to provide feedback on how well the students are prepared in the fields of flight mechanics and aerodynamics. Each year, the student reviews are outstanding, illustrating the excellent quality of the authors' approach.

Customer Reviews:

5 out of 5 stars Excellent Flight Mechanics Book!!.......2006-09-27

This is by far one of the best written books on flight mechanics. Actually, it so good that I plan to teach a aircraft stability and control course using this book.
Appearance and Reality: An Introduction to the Philosophy of Physics
Average customer rating: 3.5 out of 5 stars
  • Excellent in its intended capacity as introduction...
  • very good up to page 140 then thumbs down
Appearance and Reality: An Introduction to the Philosophy of Physics
Peter Kosso
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Paperback

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ASIN: 0195115155

Book Description

Appearance and Reality: An Introduction to the Philosophy of Physics addresses quantum mechanics and relativity and their philosophical implications, focusing on whether these theories of modern physics can help us know nature as it really is, or only as it appears to us. The author clearly explains the foundational concepts and principles of both quantum mechanics and relativity and then uses them to argue that we can know more than mere appearances, and that we can know to some extent the way things really are. He argues that modern physics gives us reason to believe that we can know some things about the objective, real world, but he also acknowledges that we cannot know everything, which results in a position he calls "realistic realism." This book is not a survey of possible philosophical interpretations of modern physics, nor does it leap from a caricature of the physics to some wildly alarming metaphysics. Instead, it is careful with the physics and true to the evidence in arriving at its own realistic conclusions. It presents the physics without mathematics, and makes extensive use of diagrams and analogies to explain important ideas. Engaging and accessible, Appearance and Reality serves as an ideal introduction for anyone interested in the intersection of philosophy and physics, including students in philosophy of physics and philosophy of science courses.

Customer Reviews:

5 out of 5 stars Excellent in its intended capacity as introduction..........2000-03-14

I would imagine that the factor pivotal to appreciation of this book is the reader's stage of understanding of the issues discussed within this book.

Particulaly impressive was the conciseness and clearness of the explanations of both relativity and quantum mechanics, two subjects that I would imagine can be notoriously difficult to deal with when ill explained. Aside from aformentioned technicalities regarding quantum physics, perhaps the author could may have spent more time considering the epistemological issue of the very validity of, in particurlar relativity, the 'foundations of modern physics discussed'. They seemed briefly considered, yet tossed aside it seems due to the author's attitude that the apparent current non-existence of what may eventually supercede the areas of physics in question. So, basically, the book was themed upon evaluating reality using the best tools we have at this moment to evaluate what constitutes it.

None the less, as an indication of the perspective physics can provide as to the very nature of reality and existence, this book can be invaluable.

2 out of 5 stars very good up to page 140 then thumbs down.......1999-07-14

Good overview of the special and general theory of relativity as well as quantum mechanics. No equations are used and the author is able to demonstrate these ideas very well.

However the author bias becomes very clear as he explains Bell's theorem . The author points out that no local hidden variable theory can explain the results presented by quantum mechanics. He seems to miss the point that quantum mechanics is NONLOCAL with or without hidden variables . He clearly is in the copenhagen camp but stresses that popular publications on the subject are incorrect in concluding that everything is indeterminate, after all, things such as mass,charge etc. are determinate.

The author seems to accept "in stride" the nonlocality in the copenhagen interpetation and then uses nonlocality as the biggest argument against the deBroglie-Bohm pilot wave interpetation stating that it is a "blatant" violation of the special theory of relativity. Apparently the instant collapse of the second wave function when the first is measured in EPR is more realistic in his view. He then corrects himself and states that it is really not a violation of the special theory "empirically".

These kind of inconsistencies and contradictions are rampant after page 140. In the end the best critisism the author could level at the Bohm interpetation is that it is "epistimological anti realism"

In summary his philosophical position of "realistic realism" ends up being that schrodinger's cat maybe both dead and alive but we know that it weighs ten pounds.
Introduction to Continuum Mechanics, 3rd ed.
Average customer rating: 4 out of 5 stars
  • Good book
  • Disservice to students and insult to experts
  • Excellent Book
  • Excellent Book!
  • Excellant text, but far too expensive!!
Introduction to Continuum Mechanics, 3rd ed.
W Michael Lai , David Rubin , and Erhard Krempl
Manufacturer: Butterworth-Heinemann
ProductGroup: Book
Binding: Paperback

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ASIN: 0750628944

Book Description

Introduction to Continuum Mechanics is a recently updated and revised text
which is perfect for either introductory courses in an undergraduate engineering
curriculum or for a beginning graduate course.

Continuum Mechanics studies the response of materials to different loading
conditions. The concept of tensors is introduced through the idea of linear
transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation, and matrix operations is clearly presented. A wide range of idealized materials are considered through simple static and dynamic problems, and the book contains an abundance of illustrative examples of problems, many with solutions.

Serves as either a introductory undergraduate course or a beginning graduate course textbook.
Includes many problems with illustrations and answers.

Customer Reviews:

5 out of 5 stars Good book.......2007-07-14

From what I've read so far (the first 80 pages), this book is nice. The notation is relatively unambiguous, and many examples are included to make concepts clear. This book fills you in from the beginning rather than assuming you already have some background knowledge.





2 out of 5 stars Disservice to students and insult to experts.......2003-03-23

It's understandable and forgivable when the first or even second-edition of a technical book has some errors. However, when a book has reached its third edition, one should expect a relatively error-free and comprehensive reference. This book is an insult to the scientific method and to the tenets of decent technical writing. Considering only the part of this text that would be covered in a first course in continuum mechanics, even a cursory inspection reveals major theory errors as well as lazy typesetting, grammar, and editing issues that simply aren't acceptable for books in this price range. For instance...

* The index is only five pages long! It's missing absolutely essential entries like: coordinates, e-delta identity, invariants, gradient, velocity, velocity gradient, Stoke's theorem, and thermodynamics. The index is also missing several other terms (such as pseudo stress vector) that students would need to look up because they appear in the exercises.

* The reference list is anemic -- a rich and well-developed field like continuum mechanics deserves more than just 19 supplemental resources. Omission of Mase and Mase is unfortunate because those authors have greatly contributed to continuum mechanics texts for beginners.

Naturally, any introductory book on a complicated topic will, at times, provide the reader with some key equations without providing a proof. However, whenever a proof is omitted, the reader should AT LEAST be told where the proof can be found. For example, this textbook cites the conditions of compatibility for finite deformation without stating any reference book or journal article where the advanced reader (who, by this point, has learned to doubt the typesetting skills of these authors) can go to double check the equations.

* Discussion of the physical meanings of various strain measures is inexcusably fouled up. In the paragraph above eq 3.24.4, the cross-reference to eq. 3.25.2 should instead point to 3.24.2. Two equations below eq 3.26.8, the denominator is missing a factor of 2 and wrongly uses S instead of s). One equation above eq 3.26.9a, there should NOT be a 1 in the first term on the right hand side. Incidentally, the fact that these authors give equation numbers only for the equations that THEY themselves cross-reference is frustrating. OTHER PEOPLE might want to point to equations in this book -- having to say "the equation two lines below the authors' numbered equation" is awkward.

* In the section on transformation laws, eq. iii should NOT have a prime on b.

* The solution to exercise 7.8 (b) is missing a factor of 3 (probably other solutions are wrong too).

* The authors understanding of rotation and their proof of the polar decomposition theorem are seriously flawed. Their formula for the rotation expressed in terms of an angle and axis (in exercise 2B29) is wrong - it doesn't even give R=I when the rotation angle is zero. They claim in numerous locations (e.g., end of section 2B10) that improper orthogonal tensors are reflections (this is a common error - any proper rotation followed by a reflection will be an improper orthogonal tensor that is NOT a reflection). The authors clearly do not understand that symmetry and positive definiteness are requirements that must be IMPOSED in the polar decomposition - neither property is a consequence. They don't explain that a symmetric positive definite tensor has an INFINITE number of square roots, of which eight are symmetric, and only one is also positive definite. They prove that R is orthogonal, but fail to prove the theorem's assertion that it is PROPER orthogonal. Earlier in the text, the authors state that they will use the notation U for any deformation gradient that is symmetric; subsequent text clearly shows that they are presuming that a symmetric deformation gradient a stretch, which is false. To be a stretch, U must be additionally positive definite (a deformation gradient diagonal with components 1, -1, -1 is symmetric, but certainly not a stretch, and this example has negative eigenvalues, invalidating the authors claim immediately following their eq 3.20.2c)

* At the beginning of section 2B18, the authors state that a real symmetric tensor has "at least" three real eigenvalues. At least?? Are there more? They should have said "exactly three" (for a 3D space, of course).

* In the section on the rate of deformation tensor, the authors fail to prove that this tensor is not really a true rate. Here is a fact that lots of people know, but don't really understand and certainly don't know how to prove. Modern books in continuum mechanics need to discuss it.

* The authors present conservation of mass in the kinematics section, which is not correct. Kinematics is the mathematics of motion. Conservation of mass is a physical principle of Newtonian physics.

* Above eq 5.3.2: Cross reference to Problem 5.1 should be to Problem 5.2

* Eq. 3.28.6: Authors fail to give the proper name of this important relationship (Nanson's relation).

* Exercise 2B40: uses the word "principle" where "principal" is needed.

* After Eq. 3.30.7: Subject verb agreement ("The components... is called)"

* In example 3.1.2: Straightforward is ONE word, not two.

* Exercise 4.12: period and comma in a row ("For any stress state T., we define...")

* Eq 4.10.8a: Misplaced tilde in typesetting, and indistinguishable tilde in subsequent text. Same problem preceding eq 3.4.3.

* Eq 4.10.6b: "jm" needs to be a SUBSCRIPT.

* Exercise 3.31: typesetting is so juvenile that the authors used a superscripted lower case "o" to denote degrees instead of using the professional choice: the degree symbol. Professional typesetting conventions (e.g., italics for variables) are inconsistently enforced throughout this book.

* Exercises 2D4 and 2D5: missing plurals on "coordinates"

* Example 2B3.1: "Given that" should be replaced by "Given"

Granted, the comments in the above list transition from egregious errors to minor oversights, but the scientific community should DEMAND technical and editing perfection from a book on a classic subject that is in its third edition. Either that, or the purchase price should be set at a value that is consistent with this book's sloppy execution.

Note: this review covers ISBN 0750628944 paperback version.

5 out of 5 stars Excellent Book.......1999-02-02

This is the best text that I have found for introducing continnuum mechanics and tensor notation to students. I have used this text in both Continuum Mechanics and Elasticity courses. Very clear explanations and examples to make the student proficient in conntinuum mechanics. I would love to see it expanded to include metric tensors and Christoffel symbols.

5 out of 5 stars Excellent Book!.......1998-12-21

I have used this book in Dr. Lai's into to elasticity class at Columbia University. It is chock full of well written text and many example problems that are worth looking at! I finally understand what eigenvalues and eigenvectors are good for!

4 out of 5 stars Excellant text, but far too expensive!!.......1997-01-21

This continuum mechanics text is the best I've read. Comprehensible and thorough - much more so than others I've read. Only one problem - $120 is about $35 too high! This text could rate a 10, if it cost $85.
Introduction to Classical Mechanics (2nd Edition)
Average customer rating: 3 out of 5 stars
  • I liked it.
  • Good book!!
  • GOOD BOOK
  • One of the best books in mechanics
  • Decent Book. Lots of examples
Introduction to Classical Mechanics (2nd Edition)
Atam P. Arya
Manufacturer: Benjamin Cummings
ProductGroup: Book
Binding: Paperback

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ASIN: 0135052238

Book Description

Featuring state-of-the-art computer based technology throughout, this comprehensive book on classical mechanics bridges the gap between introductory physics and quantum mechanics, statistical mechanics and optics—giving readers a strong basis for their work in applied and pure sciences. Introduces Mathcad, using it in to do mathematical calculations, solve problems, make plots and graphs, and generally provide more in-depth coverage and a better understanding of physics. Pays special attention to such topics of modern interest as nonlinear oscillators, central force motion, collisions in CMCS, and horizontal wind circulation. For physicists and astronomers.

Customer Reviews:

5 out of 5 stars I liked it........2007-07-10

I"ve used an older library edition of this text for self study. And it is a good readable book. The subject was developed thoroughly. The other reviewers (probably the same guy reviewing over and over again) are pretty harsh. I did not spot out too many typos, and I've read the entire thing (all but the last couple of chapters, which I'm working on now). It's a good solid book, that I'm looking to buy now for my shelf.

5 out of 5 stars Good book!!.......2004-04-03

This is a very good book. Understand that there are many typos. However, there is one person from Holland who has edited a list of printing error from ch1~14,e-mail frenken@phys.leidenuniv.nl. Or, you can do a Google search to find the website. Don't think it is that mathematical. For those who found difficulty reading it, I will suggest spend some time on "div,grad,curl and all that,3/e" by h.m.schey. Then, you will have better understanding regarding what is force, field and most of it ,the vector calculus.

5 out of 5 stars GOOD BOOK.......2003-04-28

It is very mathematical book. I have trouble reading it but I liked it at the end when I understood everything in it.

5 out of 5 stars One of the best books in mechanics.......2003-04-28

I am in a Ph.D student in Physics. I used this book as a reference. There are some cool diagrams in the book. It is ve ry Mathematical. You will like it if you are good in Math.

5 out of 5 stars Decent Book. Lots of examples.......2003-04-28

I used this book as a reference when I was taking a mechanics course at Stanford. Contrary to many other reviewers, I actually liked the book because it gives a lot of examples and cover some interesting topics that other textbooks do not mention. Overall, it is a comprehensive introduction to mechanics.
Introduction to Classical Mechanics
Average customer rating: 5 out of 5 stars
  • Compact 2nd edition of AP French's "Newtonian Mechanics"
Introduction to Classical Mechanics
A.J. French , and M.G. Ebison
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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ASIN: 0412381400

Customer Reviews:

5 out of 5 stars Compact 2nd edition of AP French's "Newtonian Mechanics".......2002-07-06

This is an excellent text, especially its challenging problems. The 1st edition "Newtonian Mechanics" (743 pages) was published as the MIT Introductory Physics Series in 1971 and is the most appropriate one to use for a more leisurely course that covers both mechanics and some history of mechanics.

This 2nd edition (310 pages) was published in 1986 with the present title. It is updated and much more compact; it also drastically removes most of the historical and discursive material. More emphasis is placed on rapidly developing the principles and applications, thereby achieving the same depth but reducing the total number of pages by more than half; unfortunately, it's more expensive than the 1st Norton edition - characteristic of Kluwer books. The 2nd edition seems to be more often used in British universities, since British sixth form high school physics covers more advanced material than typical American ones.

Definitely less daunting than "An Introduction to Mechanics," by Kleppner and Kolenkow, 1973 - which has more difficult problems.
Introduction to Computational Plasticity
Average customer rating: 4.5 out of 5 stars
  • Great Book
  • You can download the UMAT Example from Oxford University Press website
Introduction to Computational Plasticity
Fionn Dunne , and Nik Petrinic
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Hardcover

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ASIN: 0198568266

Book Description

This book gives an introduction to computational plasticity and includes the kinematics of large deformations, together with relevant continuum mechanics. Central to the book is its focus on computational plasticity, and we cover an introduction to the finite element method which includes both quasi-static and dynamic problems. We then go on to describe explicit and implicit implementations of plasticity models in to finite element software. Throughout the book, we describe the general, multiaxial form of the theory but uniquely, wherever possible, reduce the equations to their simplest, uniaxial form to develop understanding of the general theory and, we hope, physical insight. We provide several examples of implicit and explicit implementations of von Mises time-independent and visco-plasticity in to the commercial code ABAQUS (including the fortran coding), which should prove invaluable to research students and practising engineers developing ABAQUS 'UMATs'. The book bridges the gap between undergraduate material on plasticity and existing advanced texts on nonlinear computational mechanics, which makes it ideal for students and practising engineers alike. It introduces a range of engineering applications, including superplasticity, porous plasticity, cyclic plasticity and thermo-mechanical fatigue, to emphasize the subject's relevance and importance.

Customer Reviews:

5 out of 5 stars Great Book.......2007-09-02

This is a great book for people who want to understand not only how to implement plasticity in a FEA code, but also to understand the theory of plasticity itself. I understood some ideas in 10 minutes that took days earlier for me..Overall, it is a great book and I was extremely happy that I bought it.

4 out of 5 stars You can download the UMAT Example from Oxford University Press website.......2006-04-06

I do not have this book. However, one effort of this book alone is enough to place it above most others. It includes useful and real examples of UMAT for ABAQUS to demonstrate how one can actually implement the theories. Having been a PhD in solid mechanics, I could have saved months if I had this book when I was in school. Even if you don't buy the book, the programs can be downloaded from publisher's website.
Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems (Texts in Applied Mathematics)
Average customer rating: 3.5 out of 5 stars
  • Style and Grace
  • certainly not for self-study
  • whatch the index
Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems (Texts in Applied Mathematics)
Jerrold E. Marsden , and Tudor S. Ratiu
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Accessories:
  1. Compact Lie Groups (Graduate Texts in Mathematics) Compact Lie Groups (Graduate Texts in Mathematics)
  2. Symmetry in Mechanics Symmetry in Mechanics
  3. Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics) Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics)

ASIN: 038798643X

Book Description

Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic theory and applications of mechanics with an emphasis on the role of symmetry. In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability and bifurcation, and the study of specific rigid, fluid, plasma and elastic systems. Introduction to Mechanics and Symmetry lays the basic foundation for these topics and includes numerous specific applications, making it beneficial to physicists and engineers. This text has specific examples and applications showing how the theory works, and up-to-date techniques, all of which makes it accessible to a wide variety of readers, expecially senior undergraduate and graduate students in mathematics, physics and engineering. For this second edition, the text has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available on-line.

Customer Reviews:

5 out of 5 stars Style and Grace.......2006-04-27

As mathematically sophisticated as Arnold but, unlike Arnold, Marsden has the good grace to properly define fundamentals such as the various spaces and transformations used. The introductory exposition of similarities and differences of Lagrangian and Hamiltonian mechanics is most helpful and refreshing.

1 out of 5 stars certainly not for self-study.......2005-04-14

This review is for Engineers. The back cover of the book says that it is accessible to advanced undergrads... to engineers etc. I am doing PhD in engineering and I have taken many classes in Math (including differential geometry, topology, analysis, PDEs, abstract algebra) and Mechanics. With great difficulty
I read this book (about 50% of the book). It is not well-organized.

The theory is not carefully developed. For example, the first
chapter is one of the difficult chapters to understand all the
things as it tries to give the summary of the book. The Chapter
9 (on Lie groups) says that the definition on Lie Algebra is
in the Introduction (it is not clear whether it is in the Introduction of the chapter or in the Introduction of the
book). After seeing in the index, one can find that it is in the Introduction of the text. If a person is encountering this
kind of stuff for the first time, how will he remember what is given in the Chapter 1 (given the fact that Chapter 1 is the
one of the difficult chapters to read in this book). Do n't you think it is logical to give this important definition in Chapter 9 as the previous chapters does not require this definition.

The book may be suited for a class as the professor will guide
the students. But for self-study, I do not recommend this book.
Instead I recommend the book by Arnold. Though the book by
Arnold is not as sophisticated as Marsden, it gives nice
picture for an engineer.

4 out of 5 stars whatch the index.......2000-06-09

I truely liked the book, but in the edition I have got, the whole index is messed up, i.e. you find the keyword a few pages below the page given in the index. Probably this blunder will not be repeated in coming up editions...I hope so, because the book is worth being used.
Classical Mechanics: A Modern Introduction
Average customer rating: Not rated
    Classical Mechanics: A Modern Introduction
    Martin W. McCall
    Manufacturer: Wiley
    ProductGroup: Book
    Binding: Paperback

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    ASIN: 0471497142

    Book Description

    Classical Mechanics is a clear introduction to the subject, combining a user-friendly style with an authoritative approach, whilst requiring minimal prerequisite mathematics - only elementary calculus and simple vectors are presumed. The text starts with a careful look at Newton's Laws, before applying them in one dimension to oscillations and collisions. More advanced applications - including gravitational orbits, rigid body dynamics and mechanics in rotating frames - are deferred until after the limitations of Newton's inertial frames have been highlighted through an exposition of Einstein's Special Relativity. The examples given throughout are often unusual for an elementary text, although they are made accessible through discussion and diagrams. Complete revision summaries are given at the end of each chapter, together with problems designed to be both illustrative and challenging.
    Features:
    * Comprehensive introduction to classical mechanics and relativity
    * Many novel examples, e.g. stability of the universe, falling cats, crickets bats and snooker
    * Includes many problems with numerical answers
    * Revision notes at the end of each chapter

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