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Analytical Mechanics, by Louis N. Hand, Janet D. Finch
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This introductory undergraduate text provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and thoroughly prepares the reader for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many "e-mail questions," which are intended to facilitate dialogue between the student and instructor. It includes many worked examples, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.
- Sales Rank: #135483 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1998-11-13
- Original language: English
- Number of items: 1
- Dimensions: 9.96" h x 1.18" w x 6.97" l, 2.25 pounds
- Binding: Paperback
- 592 pages
- Used Book in Good Condition
Review
"...meets its goal to present the material of analytical mechanics as required in the education of physicists and is recommended for this purpose. The material is presented in a clear way, and it stimulates interest in the subject among others by interjected historical material." Applied Mechanics Review
"Very modern treatment/selection of topics. Unifying approach (ties to quantum mechanics)." Professor Gary Bowman, Northern Arizona University
Most helpful customer reviews
24 of 27 people found the following review helpful.
Useless for Self-Study
By Redmond Geek
As the authors point out in their preface, this book was developed as part of a classroom course - one where students would have ongoing email discussions with one another and with a teaching assistant throughout the course. As a result, many important ideas are presented in the form of "email questions", which the book leaves unanswered. Students are supposed to think about them on their own, then verify their answers by emailing the TA. Similarly, none of the chapter exercises have any answers, nor is there a student answer guide available.
While this is an interesting pedagogical approach, it severely limits the value of this book as a general physics text. In fact, outside the exact instructor-based class format used by the authors, the book is relatively useless.
As alternatives, I'd recommend Fowles & Cassiday (at the easy end of the spectrum), or for the more ambitious, just jump into Goldstein. Either of those volumes, plus a good problem book, will teach you far more physics than Hand & Free.
8 of 8 people found the following review helpful.
Decent but with a lot of flaws
By ScienceThinker
There are numerous books in Classical Mechanics. However, there appears to be no other book written for undergrads besides this one which contains an almost complete list of topics. For this reason, the present book remains the unchallenged text for an undergrad Classical Mechanics course for those instructors who do not wish to deviate from the established must-be-taught curriculum.
Unfortunately, this creates some displeasure among students since the book is plagued by many problems. The typesetting and the graphics are good but everything else is not that good. Not much planning was done and not much effort was placed to convert the initial lecture notes and emails into a coherent and pedagogical manuscript. And the flaws, in my opinion, are not the lack of answers for the problems at the back of the book, nor that the book is really too advanced, nor that the book is too mathematical as has been argued by other reviewers.
Instead I take issue with: (1) The writing style is poor. (2) The solved problems and examples are not well presented and their number is not enough to cover all concepts discussed in the book. There is a good fraction of unsolved problems however. (3) The ordering of the material. For example: Chapter 3 on Oscillators could be Chapter 1. Almost no Lagrangian formalism is used. Another example is Sections 5.1 and 5.2. They use only the concept of the Lagrangian. They do not fit in Chapter 5 which is about the Hamiltonian formulation of Mechanics. (4) Not only the material could have been ordered better but, more importantly, the presentation of the topics is fragmented. For example: In Section 1.4 to concept of a constraint is given. There is some discussion on the classification/distinction of constraints but the discussion is stopped and the most important distinction - holonomic vs. nonholonomic - is discussed in Appendix A of Chapter 1. In Chapter 2, instead of presenting the theory of variations and then explain how it is applied to physical problems, the authors open sections with titles such as `2.7 Solving Problems with Explicit Holonomic Constraints' and `2.8 Nonintegrable Nonholonomic Constraints - a method that works'. As a result, great confusion emerges between the mathematical techniques and the concept of constraints. I would have preferred that the same problems (some with and some without constraints) are first solved in Chapter 1 using virtual work and then in Chapter 2 using calculus of variations. (5) There are many important issues that are left as exercises and are not discussed in the text. For example: what is the relation between the energy and the Hamiltonian? (6) There is no section on classical scattering and cross sections. This is very surprising given that one of the authors is an accelerator physicist. The students learn about the topic in a single problem: Problem 28 of Chapter 4. (This explains why I claimed that the list of topics is almost complete and not complete.)
There are several other issues that bother me but hopefully the above list is enough. There is certainly a need for another book on Classical Mechanics that will contain the topics that this book contains but written with care, attention to detail and clarity. Until then, this book will be used by many instructors and you will have to buy it if you are an undergraduate student studying the subject. If you really want to avoid it, try Landau and Lifshitz's Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) which is an excellent book but it is requiring a higher level of mathematical skill and is missing topics that were developed after the authors' deaths (e.g. chaos) or found in other volumes of the series (e.g. relativity).
18 of 21 people found the following review helpful.
fantastic book
By A Customer
This is a fabulous book! It is written at a very advanced level, however, which is why some of the others reviewing this book failed to see its strengths. If you are taking a second course in mechanics, and you are past the stage where you need to have your hand held throughout an entire course, then this book is ideal.
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