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Mathematics for Physics: A Guided Tour for Graduate Students (Anglais) Relié – 9 juillet 2009

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Descriptions du produit

Revue de presse

'The amount of material in Mathematics for Physics is definitely more than enough for two single-term courses; that provides a potential lecturer considerable flexibility. … The many features that make the book valuable to students and teachers also represent a substantial step toward making modern mathematics a part of the working arsenal of practising physicists. I strongly recommend it to those who feel the need to upgrade their mathematics repertoire.' Physics Today

Présentation de l'éditeur

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

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Format: Relié Achat vérifié
Je suis tombé sur internet sur des passages de ce livre. J'ai été frappé par la clarté avec laquelle les deux auteurs traitent les questions. Du coup j'ai acheté le livre. J'en ai lu déjà plusieurs chapitres et ma bonne impression a été confirmée. La méthode d'exposition est tout à fait ce qui convient à des "mathématiques pour la physique".
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Commentaires client les plus utiles sur Amazon.com (beta)

Amazon.com: 3.7 étoiles sur 5 11 commentaires
48 internautes sur 50 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Great book! 14 avril 2010
Par James - Publié sur Amazon.com
Format: Relié Achat vérifié
Warning: review based on first half of book.
I used this book for a graduate level Mathematical Physics class where We worked through Chapters 1 through 9. I've skimmed a little through the rest which also looks good. So let me tell you it's strengths and weakness. The book is definitely intended for graduate physics students. Most of the examples are actual physics uses of the math you learned (and there a lot), because of this you probably need a solid undergrad background in physics at least classical mechanics, E&M and Quantum, as well as Calculus, Linear Algebra, Differential Equations (and more math exposure the better!).

Strengths:
1. It goes through a lot of math! In fact because of this it is useful as a reference book as well, the book is 800 pages. Covering a broad range of traditional mathematical physics and more modern methods(e.g. Differential Geometry, Groups, ect.)

2. Lots of real world examples. This I think is probably it's biggest strength, and makes it worth the purchase, at least for me. The starts by explaining the mathematical concept, and then gives you worked out examples from physics. A lot of modern mathematics is extremely abstract, these examples help to get a feel for what the math actually says.

3. The explanations are thorough. For the most part, the book does not gloss over topics. The rigor is what one would expect for a theoretical physics, not as rigorous a pure math course, but more rigorous then what is presented in physics courses.

Weakness:
1. Because the book covers a lot of material and gives so many worked out examples 'simple' steps in derivation are omitted. For the most part this is not a problem. It just means you have to spend more time on each page, perhaps with pencil and paper, but it does make it hard to casually read. (This probably better then the other option where every step is included, the book would have probably been 2000 pages)

2. This is probably a statement about the material in general then about the book. The math is hard. It takes a lot of time and work on the part of the reader to really understand a lot of these concepts.

Overall:
As an aspiring theorist, I have a lot of math and physics books on the shelf(more like shelves). Its hard to say for sure but I see this as a book I can and will return to throughout my graduate school experience for help on understanding the math used in my courses. If your a senior in undergrad physics or somewhere in your graduate program this is a book that will return the investment. If you want a mathematical reference that is relevant to physicist this book is also for you. If you haven't taken that many math courses or don't have a solid physics background you might want to explore other books before diving into this one.
20 internautes sur 21 ont trouvé ce commentaire utile 
2.0 étoiles sur 5 Not a useful reference 9 novembre 2010
Par Scelesti - Publié sur Amazon.com
Format: Relié Achat vérifié
This was the required text for a graduate course I took in Mathematical Methods for Physicists. We covered material from chapters 1-6, 8, and 17-19 which deal with calculus of variations, function spaces, linear differential operators, ordinary and partial differential equations, Green's functions, special function theory, and topics from complex analysis. The book deals with many other topics, namely group theory and differential topology & calculus on manifolds, but these were not covered in the course I took.

What are the strengths of this book? I suppose it would be useful if you have a *very strong* background in many of these topics already and just want another perspective. The topics covered are broad, and the applications that the authors have chosen to covered may be useful, depending on your area of interest.

What are its weaknesses? Every time I had to reference this book to supplement my notes from class or to help with homework problems, I became frustrated very quickly. Too many steps are omitted in derivations to follow the logic of the authors, and on many occasions they give a partially worked example rather than the mathematical details required to make the concepts clear. I want a book for my reference library that I can pick up, page to the section that deals with the topic I'm interested in (like the book by Kreyzig: Advanced Engineering Mathematics, Textbook and Student Solutions Manual) and read a clear exposition of the mathematics, rather than having to slog through a vague, partially worked example from another area of physics and try to guess what the authors mean. After spending several hours trying to connect one line of a derivation with the next and ultimately failing on several occasions, I started looking elsewhere for textbooks. Let me mention as well that I am a fluid dynamicist by training; I'm certainly no stranger to long and messy derivations.

In short, this book could be useful *supplement* to other applied mathematics texts in your library, but do not expect to be able to pick it up as a reference and obtain useful information in a timely manner.
5.0 étoiles sur 5 A good book for theoretical physicists 22 octobre 2013
Par Ye Zhuang - Publié sur Amazon.com
Format: Relié Achat vérifié
This book is the text book for our mathematical physics course. It is an advanced book in this subject. You can benefit more if you have some basic knowledge of mathematical physics.
The first half talks most about some techniques like functional, green function, etc. Though I had learned such topics before I read this book, it gave me a new perspective and I felt the concepts were clearer after I read it.
The rest part of the books are more relate with the recent research. Stone talks about forms, group, complex analysis manifolds, fiber bundle, etc.
3 internautes sur 4 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Wide, in depth coverage of modern math for physics 6 octobre 2012
Par a-brperr - Publié sur Amazon.com
Format: Relié Achat vérifié
This book is well written, and contains an excellent, wide array of important topics in math for physics. This book is unlike many others in that it achieves a much deeper understanding of modern math concepts like distributions (generalized functions), and other functional analysis concepts, as well as covering high level differential geometry, algebra and complex analysis. The treatment is, admittedly at a slightly higher level than most first-year graduate texts for physics students, but I think it is very reachable for students with a great interest in the deeper math behind today's physics research, and with a good background in mathematics (Linear Algebra, Calculus, Differential Equations, and some proof based course). There is no treatment of general (point-set) topology, but rather it treats higher level differential topology topics in a very nice way without the need for it.
0 internautes sur 1 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Technical, but very good 28 juin 2013
Par S. Galica - Publié sur Amazon.com
Format: Relié Achat vérifié
This text is a little bit technical, but it's a fantastic reference. I found it to be a very good companion to Arfken's text.
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