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.
Second edition (1983) | |
Author | Mary L. Boas |
---|---|
Country | USA |
Subject | Applied mathematics |
Publisher | Wiley |
Publication date | 1966 |
Media type | |
ISBN | 978-0-471-19826-0 |
The book, now in its third edition, was still widely used in university classrooms as of 1999[1] and is frequently cited in other textbooks and scientific papers.
Chapters
- Infinite series, power series
- Complex numbers
- Linear algebra
- Partial differentiation
- Multiple integrals
- Vector analysis
- Fourier series and transforms
- Ordinary differential equations
- Calculus of variations
- Tensor analysis
- Special functions
- Series solution of differential equations; Legendre, Bessel, Hermite, and Laguerre functions
- Partial differential equations
- Functions of a complex variable
- Integral transforms
- Probability and statistics
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References
- Spector, Donald (1999). "Book Reviews". American Journal of Physics. 67 (2): 165–169. doi:10.1119/1.19216.
Further reading
Reviews of 1st edition
- Bronk, B. V. (1967). American Scientist. 55 (1): A118. Missing or empty
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(help) - 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.
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