Mathematical Methods in the Physical Sciences
April 17, 2011 by Actaphysica
Filed under Mathematical Physics Book Reviews
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indispensable Mathematical hanbook for physics students,
To put it quite simply, if you are a physics student, you must own this book. What does this book do for you? Consider this…
In my school, we do not have a mathematical methods course for science, so I decided to take on a math minor to take all the classes neccesary to do physics “right.” This included a class on ODEs, Fourier Series & PDEs, Linear Algebra, and Complex Variables. These classes, although helpful, cover a lot of stuff that is not quite useful for understanding physics concepts, often undermining or dampening the stuff that is actually applicable.
What makes this book so great is that it combines all the essential math concepts into one compact, clearly written reference. If I could do it all over again, I would easily rather take a two semester Math Methods course (like they do in many schools) using a book like Boas than take all these obtuse math courses. With this book, it makes it so handy to review previously learned concepts or actually learn poorly presented topics ( for a physicist anyway) in mathematics classes… (Things like Coordinate Transformations, Tensors, Special Functions & PDEs in spherical & cylindrical coordinates, Diagonilzation, the list goes on…..)
Keep this gem handy when doing homework and studying for exams, learning the math tools from this book enables you to concentrate squarely on the physics in your other textbooks… (since mathematical background information, understandably, is often cut short…)
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An excellent book for those who need applied mathematics.,
This is an excellent book for undergraduates in science and engineering. This book is not for mathematics majors. So anyone who complains about the proofs or lack of rigor is off target. You are not the intended audience.
I include the chapter titles below since they indicate the coveraqe of the book.
1. Infinite series, power series
2. Complex numbers
3. Linear algebra
4. Partial differentiation
5. Multiple integrals
6. Vector analysis
7. Fourier series and transforms
8. Ordinary differential equations
9. Calculus of variations
10. Tensor analysis
11. Special functions
12. Series solutions of differential equations, legendre, bessel, hermite, and laguerre functions
13. Partial differential equations
14. Functions of a complex variable
15. Probability and statistics
Enjoy!
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A must have for every physics student,
Well I must say the last reviewer was very harsh on Boas. I think the book satisfies the needs of most of the physical science students. In the preface of the book author already mentioned that this is a Physicists or chemists maths book. If you really need proofs look elsewhere. Having said that I must add Boas gives satisfactory explanations (if not proofs) to every derivation. Look into the Gamma function chapter. The way she introduced the Gamma function is really enlightning. Instead of just putting the definition- as usual in mathematics books- she gave a derivation of Gamma function!!! Isn’t it great!
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