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Title: A Course in Mathematics for Students of Physics: Volume 1 by Paul Bamberg, Shlomo Sternberg ISBN: 0-521-40649-8 Publisher: Cambridge University Press Pub. Date: 30 August, 1991 Format: Paperback Volumes: 1 List Price(USD): $47.00 |
Average Customer Rating: 3.5 (8 reviews)
Rating: 4
Summary: Good stuff badly written
Comment: I'm going to mention the second volume almost exclusively. This is where the action is located. It is hard to find any equivalent treatment of circuit theory using algebraic topology. You should have some mathematics background or some patience and a stack of books on algebra and algebraic topology so you can understand what these authors write so poorly. However, while the text (vol.2) loses a star for being horribly written, it gains four stars for the amazing content. If you are patient you will see a side of circuits you have never dreamt of and then you will be led into the generalized (continuous) version which is electromagnetics.
If you are looking for some really accessible and really interesting mathematics on circuits and EM buy this book (or buy it used, I bought my hardcover for 10$) You might also find it useful to consult the appendix in Frankel's Geometry of Physics for comparison.
Have fun and keep in mind that the book is written by sadists, clever and intelligent, but sadists all the way!
Rating: 5
Summary: Simply fascinating!
Comment: In short, I find this kind of a book very rare indeed.
If you are doing physics and electronics at the undergraduate level, this book will open your eyes to a whole new unified approach to several on-the-surface different topics. I wonder why many course designer's haven't looked at this book and realized how accessible it has made some of the relatively modern concepts. The authors laudably attend on each concept with a passion to make the reader confident of grasping at least a few different ways of looking at it, keeping the core well in view all the time. It is also to their credit to have kept the beauty in the ideas intact with a good balance of abstraction and concrete instances.
In particular, the authors treatment of exterior calculus is an eye opener if you are new to the topic. For a student only exposed to traditional methods, it is a revealer to see the laws of linear electrical circuits as well as Maxwell's equations of electromagnetism being expressed in precisely the same language. It is totally to the credit of the authors to have presented the concepts in such a simple to understand progression. For example, they make you see clearly why you have understood the divergence theorem or Stokes theorem of conventional vector calculus if you've grasped the essence of the calculus of functions of a single variable. Its a fantastic voyage folks, and you've got some of the best guides methinks.
All those who find physics and mathematics a drag at college should grab this book and be enlightened. I wish they fix some of the errors in the book in future editions, but the errors don't at all hinder the learning.
Ten thumbs up!
Rating: 5
Summary: An interested amateur physicist
Comment: I don't understand why some of the reviews here are mediocre. Although I haven't read the book to any depth, I have a knack of knowing whether a book exudes quaity by browsing briefly through it to get a general feel; the breadth of the material presented is breathtaking and at least eye-opening. Here are some reviews from the back cover...
American Journal Of Physics:- Not only is the mathematics clean, elegant, and modern blah, blah, blah... This is first rate!
Times Higher Education Supplement:-
...There is to my knowledge no comparable book, and it is hard to imagine a more inspiring one.
Remember also that there are two volumes.
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Title: Differential Forms and Connections by R. W. R. Darling ISBN: 0521468000 Publisher: Cambridge University Press Pub. Date: 22 September, 1994 List Price(USD): $32.00 |
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Title: Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics) by Andrew Browder, Sheldon Axler, F. W. Gehring ISBN: 0387946144 Publisher: Springer Verlag Pub. Date: January, 1996 List Price(USD): $49.95 |
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Title: Second Year Calculus: From Celestial Mechanics to Special Relativity (Undergraduate Texts in Mathematics: Readings in Mathematics) by David M. Bressoud ISBN: 038797606X Publisher: Springer Verlag Pub. Date: September, 1991 List Price(USD): $49.95 |
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Title: Tensors, Differential Forms, and Variational Principles by David Lovelock, Hanno Rund ISBN: 0486658406 Publisher: Dover Pubns Pub. Date: 01 April, 1989 List Price(USD): $15.95 |
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Title: Mathematics of Classical and Quantum Physics by Frederick W. Byron, W. Fuller Robert ISBN: 048667164X Publisher: Dover Pubns Pub. Date: 20 August, 1992 List Price(USD): $21.95 |
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