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A Course in Mathematics for Students of Physics: Volume 2 (Bk. 2), by Paul Bamberg, Shlomo Sternberg
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This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.
- Sales Rank: #1527722 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1990-05-25
- Original language: English
- Number of items: 1
- Dimensions: 9.72" h x 1.10" w x 6.85" l, 2.11 pounds
- Binding: Hardcover
- 461 pages
- Used Book in Good Condition
Review
"This textbook (Vol. 1 & 2) is a well-written and well illustrated introduction to the mathematics of modern physics. The combination of mathematics and physical applications provides an excellent learning environment for students of physics and for scientists wishing to upgrade their education. This textbook emphasizes the geometric visualization of mathematical equations, and tries to develop in the student an intuitive feel for the mathematics. Overall, this book is a welcomed introduction to the mathematics required in modern physics." La Physique au Canada
"The beauty of the book lies in the examples used to illustrate the mathematical concepts." Roger Waxler, Siam Review
Most helpful customer reviews
6 of 8 people found the following review helpful.
Great Idea but Seroius Flaws
By A customer
I really wanted to like this book. The idea behind the book is great: use circuit and electromagnetic theory to introduce some advanced mathematical ideas, which is the reason I bought the book. I know circuit theory at the undergraduate level (material in Desoer and Kuh, for example) and have a PhD in math (functional analysis) and wanted to learn about the connection between circuit theory and algebraic topology. The number of errors in this book makes that effort a most frustrating experience. I have read and consulted hundreds of advanced math books and an equal number of journal papers (and have authored over 50 journal articles) and this is by far the worst proofread book or article I have encountered. The innumerable errors make one question whether the authors proofread at all. The presentation is confusing and befuddling at times but that is more subjective.
"Mature" mathematicians who are willing to put in the time will learn some interesting connections and college math instructors will benefit from seeing this material. An undergraduate student will probably not find this book useful or learn very much from it by reading it independently. On the other hand, this may be a good book for a reading course or an undergraduate seminar for well prepared and motivated students under the guidance of a qualified instructor.
Bottom line: Buy it if you find a cheap copy, you probably will learn something.
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