Definitive math books for a physics major

In summary, as a physics undergrad, the individual has been studying popular and useful textbooks by Stewart, Boas, and Riley. They are wondering if there is another book on mathematics that would be beneficial for a physics major, possibly at a graduate school level. Two suggestions are "Applied Mathematical Methods for Theoretical Physics" which covers the calculus of variations and its applications to physics, and "Princeton Companion to Mathematics" which provides an introduction to various areas of mathematics and their applications to physics.
  • #1
zheng89120
149
0
So as a physics undergrad, I have been studying extensively into the popular (and useful) textbooks books by Stewart (Calc), Boas (Methods), and Riley (Methods). Any ways, I was just wondering, is there another book on mathematics for that a physics major should probably like to look, say after after spending a good amount of time with Riley's book? (Though if such a book would be on mathematical methods, it may be at a graduate school level.) thanks
 
Physics news on Phys.org
  • #2
I think this book has a rather nice high level treatments of some applications of the calculus of variations to physics: https://www.amazon.com/Applied-Mathematical-Methods-Theoretical-Physics/dp/3527405348#reader_3527405348

Maybe you would like the Princeton companion to mathematics. The quality of the articles is very high on average. It has introduction to many areas of mathematics and often their applications to physics. It is a very good sampler of high level mathematics. https://www.amazon.com/Princeton-Companion-Mathematics-Timothy-Gowers/dp/0691118809
 

1. What makes a math book "definitive" for a physics major?

A definitive math book for a physics major is one that covers all the necessary topics and concepts in a clear and concise manner, with a focus on application to physics problems. It should also provide ample practice problems and examples to reinforce understanding.

2. Can you recommend a definitive math book for calculus?

A popular choice among physicists is "Thomas' Calculus" by George B. Thomas Jr. and Maurice D. Weir. This book covers all the essential topics in single and multivariable calculus with a strong focus on applications to physics.

3. Is there a definitive math book for linear algebra?

"Linear Algebra Done Right" by Sheldon Axler is a highly recommended book for linear algebra. It presents the subject in a clear and intuitive way, with a strong emphasis on understanding concepts rather than memorizing formulas.

4. What are some other important math topics for a physics major?

In addition to calculus and linear algebra, topics such as differential equations, complex analysis, and vector calculus are also crucial for a physics major. A definitive math book should cover these topics in depth and provide relevant examples and applications.

5. Can a physics major benefit from studying advanced math topics?

Absolutely! Many advanced math topics, such as group theory, topology, and differential geometry, have important applications in physics. They can provide a deeper understanding of fundamental concepts and enhance problem-solving skills. A definitive math book should also cover these topics for a well-rounded education in math for physics majors.

Similar threads

  • Science and Math Textbooks
Replies
2
Views
206
  • Science and Math Textbooks
Replies
9
Views
1K
  • Science and Math Textbooks
Replies
10
Views
1K
  • Science and Math Textbooks
Replies
28
Views
1K
  • Science and Math Textbooks
Replies
2
Views
1K
  • Science and Math Textbooks
Replies
2
Views
996
  • Science and Math Textbooks
Replies
5
Views
1K
  • Science and Math Textbooks
Replies
18
Views
2K
  • Science and Math Textbooks
Replies
12
Views
2K
  • Science and Math Textbooks
Replies
4
Views
1K
Back
Top