Mathematical Methods in the Physical Sciences

Mathematical Methods in the Physical Sciences is a 1966 textbook by mathematician Mary L. Boas intended to develop skills in mathematical problem solving needed for junior to senior-graduate courses in engineering, physics, and chemistry. The book provides a comprehensive survey of analytic techniques and provides careful statements of important theorems while omitting most detailed proofs. Each section contains a large number of problems, with selected answers. Numerical computational approaches using computers are outside the scope of the book.

Mathematical Methods in the Physical Sciences

Second edition (1983)
Author	Mary L. Boas
Subject	Applied mathematics
Publisher	Wiley
Publication date	1966
Publication place	USA
Media type	Print
ISBN	978-0-471-19826-0

The book, now in its third edition, was still widely used in university classrooms as of 1999 and is frequently cited in other textbooks and scientific papers.

Chapters

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 solution of differential equations; Legendre, Bessel, Hermite, and Laguerre functions
13. Partial differential equations
14. Functions of a complex variable
15. Integral transforms
16. Probability and statistics

Further reading

Reviews of 1st edition

• Bronk, B. V. (1967). American Scientist. 55 (1): A118.{{cite journal}}: CS1 maint: untitled periodical (link)
• Hupert, J. J. (1967). "Book reviews". IEEE Spectrum. 4 (7): 166–7. doi:10.1109/MSPEC.1967.5215873.
• Milford, F. J. (1967). "Mathematical Methods in the Physical Sciences". Science. 155 (3769): 1530–1531. doi:10.1126/science.155.3769.1526. JSTOR 1720976.
• Moore, Walter J. (1967). "Mathematics for scientists. Mathematical methods in the physical sciences. Mathematics for quantum chemistry (Bak, Thor A.; Lichtenberg, Jonas; Boas, Mary L.; Anderson, Jay Martin)". Journal of Chemical Education. 44 (4): 246–A352. Bibcode:1967JChEd..44..246M. doi:10.1021/ed044p246.
• Mullin, Albert A. (1968). "Mathematical Methods in the Physical Sciences". American Journal of Physics. 36 (7): 644–5. Bibcode:1968AmJPh..36..644B. doi:10.1119/1.1975067.
• Pipes, L. A.; Boas, Mary L. (1967). "Mathematical Methods in the Physical Sciences". The American Mathematical Monthly. 74 (8): 1024–1025. doi:10.2307/2315314. JSTOR 2315314.

Reviews of 2nd edition

• Peters, Philip (1984). "Mathematical Methods in the Physical Sciences, 2nd ed". American Journal of Physics. 52 (6): 572–3. Bibcode:1984AmJPh..52..572B. doi:10.1119/1.13607.
• Phillies, G. D. J. (1984). "Book Reviews". Journal of the American Chemical Society. 106 (17): 5046. doi:10.1021/ja00329a600.