Great Mathematics books for Physicists

In summary, for those seeking a strong understanding of mathematics for physics, there are several recommended books such as A First course in Calculus by Serge Lang, Calculus of several variables by Serge Lang, The Calculus Lifesaver: All the Tools You Need to Excel at Calculus by Adrian Banner, Ordinary Differential Equations by Morris Tenenbaum, Harry Pollard, Partial Differential Equations for Scientists and Engineers by Stanley J. Farlow, and Div, Grad, Curl, and All That: An Informal Text on Vector Calculus by H. M Schey. These texts offer a good balance between theory and application and are beneficial for both undergraduate and graduate students. While there may be other recommended texts, these are highly recommended for
  • #1
dmcharg
6
0
For anyone out there looking to get a good solid grasp of mathematics for Physics the following is a few books i would highly recommend.

- A First course in Calculus by Serge Lang
- Calculus of several variables by Serge Lang
- The Calculus Lifesaver: All the Tools You Need to Excel at Calculus by Adrian Banner
- Ordinary Differential Equations by Morris Tenenbaum, Harry Pollard
- Partial Differential Equations for Scientists and Engineers by Stanley J. Farlow
- Div, Grad, Curl, and All That: An Informal Text on Vector Calculus by H. M Schey

Careful study of these texts in my view will most certainly be worth it for anyone wishing to progress in Physics at undergraduate and graduate level. I am sure there are many other tests out there and would be interested to hear recommendations. I think these books strike a good balance between application and theory.

Cheers
David.
 
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  • #2
I agree with div, grad... and Morris and Tenenbaum's ODE's. Excellent books. Have you heard of Mathematics of Classical and Quantum Physics by Byron and Fuller? Is that any good?
 
  • #3
But what about differential geometry, linear algebra, complex analysis, group theory, topology?
 
  • #4
Here, we used Mathematics for Physicists by Susan M. Lea.

1. Describing the Universe.
2. Complex Variables.
3. Differential Equations.
4. Fourier Series.
5. Laplace Transforms.
6. Generalized Functions in Physics.
7. Fourier Transforms.
8. The Sturm-Liouville Theory.
Optional Topics.
A. Tensors.
B. Group Theory.
C. Green's Functions.
D. Approximate Evaluation of Integrals.
E. Calculus of Variations.
Bibliography.
Appendices.

Pretty complete, straightforward, good examples.
 

Related to Great Mathematics books for Physicists

1. What are some recommended mathematics books for physicists?

Some of the most highly recommended mathematics books for physicists include "Mathematical Methods in the Physical Sciences" by Mary L. Boas, "Advanced Engineering Mathematics" by Erwin Kreyszig, and "Mathematical Methods for Physics and Engineering" by K.F. Riley, M.P. Hobson, and S.J. Bence.

2. Are there any mathematics books specifically geared towards physicists?

Yes, there are several mathematics books that are specifically geared towards physicists, such as "Mathematical Methods for Physicists" by George B. Arfken and Hans J. Weber, and "Mathematical Methods of Classical Mechanics" by V.I. Arnold.

3. What level of mathematics do these books cover?

Most mathematics books for physicists cover a range of levels, from basic algebra and calculus to more advanced topics like differential equations, linear algebra, and complex analysis. It is important to find a book that suits your current level of mathematical understanding.

4. Can these books be useful for non-physicists as well?

Yes, many of these mathematics books for physicists can also be useful for non-physicists who are interested in learning more about advanced mathematical concepts. However, some prior knowledge of physics and scientific notation may be helpful.

5. Are there any online resources for these mathematics books?

Yes, many of these mathematics books for physicists have online resources such as interactive tutorials and practice problems, as well as video lectures from the authors. Some universities also offer open courseware or online courses based on these textbooks.

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