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Mathematical Physics: A Modern Introduction to Its Foundations [Hardcover]

Sadri Hassani
4.4 out of 5 stars  See all reviews (5 customer reviews)
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Book Description

Feb. 1 2002 0387985794 978-0387985794 1st ed. 1999. Corr. 3rd printing 2002
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

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PAGEOPH [Pure and Applied Geophysics]

Review by Daniel Wojcik, University of Maryland

"This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. … I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers."


Review by G.Roepstorff, University of Aachen, Germany

"… Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. … A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. … For the physics student in the middle of his training, it will certainly prove to be extremely useful."


Review by Paul Davies, Orion Productions, Adelaide, Australia

"I am pleased to have so many topics collected in a single volume. All the tricks are there of course, but supported by sufficient rigour and substantiation to make the dedicated mathematical physicist sigh with delight."


"This book is a condensed exposition of the mathematics that is met in most parts of physics. The presentation attains a very good balance between the formal introduction of concepts, theorems and proofs on one hand, and the applied approach on the other, with many examples, fully or partially solved problems, and historical remarks. An impressive amount of mathematics is covered. … This book can be warmly recommended as a basic source for the study of mathematics for advanced undergraduates or beginning graduate students in physics and applied mathematics, and also as a reference book for all working mathematicians and physicists."

About the Author

Sadri Hassani, Department of Physics, Illinois State University, USA

Inside This Book (Learn More)
First Sentence
Two- and three-dimensional vectorsundoubtedly familiar objects to the reader can easily be generalized to higher dimensions. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews

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Most helpful customer reviews
4.0 out of 5 stars Comparison with Cantrell's book Feb. 17 2004
Has anyone looked at the difference between Hassani's and C. D. Cantrell's book (Modern Mathematical Methods for Physicists and Engineers)? They seem to cover the same topics.
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4.0 out of 5 stars A pleasure to read Sept. 12 2003
I agree with other reviewers that this book is the first choice if you want to get a handle on mathematical methods of theoretical physics at advanced undergraduate / beginning graduate level. The nearest competitor is Byron & Fuller's "Mathematics of Classical and Quantum Physics" which has been around a long time and has many good points; but having used both I prefer this. The level and philosophy is about the same but the coverage is wider and the presentation clearer and cleaner. It's a pleasure to read.
The book is divided into eight parts, each comprising three or four chapters, on: Finite-dimensional Vector Spaces, Infinite-dimensional Vector Spaces, Complex Analysis, Differential Equations, Operators on Hilbert Spaces, Green's Functions, Groups and Manifolds, Lie Groups and Applications. Fear not: although it isn't designed for freshmen, it emphatically isn't the sort of math book where you have to crack the code to get any benefit.
The layout is excellent, there are many, many worked examples, and I found very few slips or typos. One black mark, the reason I don't give it 5 stars: although there are a massive 850 problems, there are no solutions (just like Byron & Fuller). Unless you're confident in your mathematical ability, you may find that a drawback for self-study. Finally, a word to the wise: check out this title at amazon.co.uk (provided you aren't in a hurry).
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I have never seen an excellent and well written math book like this. It includes all topics you can think about of mathematical physics in a clear and elegant presentation. A generous amount of solved examples are disscused through the book and a huge number of problems at the end of each chapter. It includes topics which you can not find in any similar graduate math-physics text. It really worth its price.
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5.0 out of 5 stars Outsdanding. Highly recommended. Nov. 7 1999
By A Customer
This is by far the best written book on the subject that I've seen. It is very clear and comprehensible. Modern and up-to-date, it is destined to become the standard book in its field.
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4.0 out of 5 stars Possibly one of the best of its kind Oct. 3 1999
By A Customer
Up-to-date, thorough, clear and reasonably rigorous, this volume sets a new standard in mathematical physics textbooks. It is so good that the reader can only hope for a few more pages (path integrals, topology) in a new edition or another book.
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