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Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps the student master these necessary mathematical skills. It contains advanced topics of interest to graduate students on relativistic square-root spaces and nonlinear systems. It contains many tables of mathematical formulas and references to useful materials on the Internet. It includes short tutorials on basic mathematical topics to help readers refresh their mathematical knowledge. An appendix on Mathematica encourages the reader to use computer-aided algebra to solve problems in mathematical physics.
To request a copy of the Solutions Manual, visit: http://www.oup.co.uk/academic/physics/admin/solutions.
- Sales Rank: #1106695 in Books
- Brand: Brand: Oxford University Press
- Published on: 2013-03-14
- Original language: English
- Number of items: 1
- Dimensions: 7.00" h x 1.60" w x 9.80" l, 3.54 pounds
- Binding: Hardcover
- 720 pages
- Used Book in Good Condition
Review
"This book gathers together in one place both standard and advanced topics on mathematical methods in physics. As such, it will be of use to both researchers and students in theoretical physics, as well as university-level lecturers who may wish to use it as a textbook. The second edition expands on the set of problems of the first edition, and includes new material on special relativity and chaos. It covers a broad spectrum of topics that will be of enormous use to theoretical physicists." -- Richard J. Szabo, School of Mathematical and Computer Sciences, Heriot-Watt University
About the Author
Wong is a theoretical physicist educated at UCLA and Harvard. He has worked in Copenhagen, Princeton, Oxford, and Saclay (near Paris). He has been at UCLA since 1969. He was a Sloan research Fellow, and is a fellow of the American Physical Society. His main interest is in theoretical physics.
Most helpful customer reviews
32 of 34 people found the following review helpful.
For Currency, It's This or Cahill...
By Let's Compare Options Preptorial
Dozens of "mathematical physics" books exist, including $20 classics from Dover. We recently reviewed an advanced copy of Cahill's fine text: Physical Mathematics. If you're confining yourself to the 90% of physics math that include tensors and linear algebra up to relativity, don't waste your time on either of these texts, there are many more available, at far less cost.
If you've got to get heavily into quantum mechanics, Laplace operators, wave functions, etc., the majority of texts either start at too high a level (assuming advanced linear algebra or even abstract algebra and analysis), or don't cover the most current techniques and algorithms. For those, you need either this text or the upcoming Cahill text above.
Comparing the two: it's interesting. This text comes from a physicist looking at math and Cahill comes from a mathematician looking at physics. Of course the math and applications are identical, but the learning method much different! Both start relatively simply (second year undergrad, but you're MUCH better off if you have at least one linear algebra course, or self study book, before you tackle these), then progress quickly (as in within two chapters in this text and three in Cahill) to advanced material.
As an example, take a "simple" wave function. Your function will progress from either a short circuit or closed, taught string harmonic, to a guitar string, to an electromagnetic wave, to a quantum wave. By page two of the simplest guitar string, you're into partial differential equations! That's because you quickly find you've got to hold either time or space constant to solve the other. By electromagnetic waves, you're into Fourier and Laplace transforms and operators (and their much harder finishes in inverse transforms), and by quantum, your waves are actually "made of" probability distributions!
This text tries to balance the practical with rigor, which is a difficult marriage. That's because mathematical physics has "fractured" into several fields now: 1. Researchers who try to come up with algorithms to solve differential equations, or in the case of discrete, group theory matrices; 2. Mathematicians working on proofs of new solution methods, such as using Laplacians to solve graph problems in physics and chemistry 3. Practical engineers who use MatLab and other programs tied to their CADs and PSpices to USE Fourier transforms to get specific voltage (ie information/signal) values for their wave functions or circuits 4. Physics researchers.
Both of these texts are superb, for reference, for self study, and for courses. The choice has to do with where you stand on the above point of view scale. I'd choose this text if my field were physics or engineering and I'd choose Cahill if it was math or engineering. If you're in engineering (as I am), both texts work, and either covers the entire field in fine fashion. Cahill is a "little" more friendly if you're rusty in linear algebra, but both progress rapidly to differential equations if you're in continuous, and group theory/graph if you're into discrete.
As texts, both are student friendly with great websites, errata, additional weblems, etc. I'd choose either of these over the current group of 5 or 6 that are used most often, due to currency of material and relevance of examples. Sure, RF is forever, but in the real world, if you don't relate what you're teaching to MathCad, you're doing your students a disservice. Both of these texts do so thoroughly, with the underlying pseudo code and examples that allow you to translate what's going on "under" the software just enough to reformulate your problems without becoming a PhD mathematician. 5 stars to this volume for keeping it's usefulness in that way as a great reference.
Library Picks reviews only for the benefit of Amazon shoppers and has nothing to do with Amazon, the authors, manufacturers or publishers of the items we review. We always buy the items we review for the sake of objectivity, and although we search for gems, are not shy about trashing an item if it's a waste of time or money for Amazon shoppers. If the reviewer identifies herself, her job or her field, it is only as a point of reference to help you gauge the background and any biases.
1 of 1 people found the following review helpful.
Save Your Time and Money
By Jacob Perales
This book is probably one of the least helpful physics/math books I have ever had to purchase. There are very few examples in the text of most concepts, forcing you to find general forms for almost everything that is relevant in Theoretical Methods for Physicists. This is not only frustrating, but confusing as some examples in the book are so un-generalized that it can lead you to false conclusions. It is dense and difficult to read. There are no solutions, meaning that you have no clue if you are understanding the concepts or procedures correctly. I purchased several other books, and each had a better explanation of the topics covered in the Wong book.
I will say this for the Wong book: it covers everything. Not well, but it does touch on all the topics needed for a theoretical methods course. However, I found that the Arfkin and Boas books both helped tremendously more than this book ever did.
0 of 1 people found the following review helpful.
Haven't used it a lot for the problems or anything but a great resource book for looking up a quick explanation of ...
By John-Paul Mann
High quality book. Haven't used it a lot for the problems or anything but a great resource book for looking up a quick explanation of a topic.
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