mathematical methods in physical sciences 3e boas mary [pdf]
Mathematical Methods in the Physical Sciences (3E) by Mary L. Boas
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Mathematical Methods in the Physical Sciences (3E) by
Mary L. Boas .
This book is particularly intended for the student with a year (or a year and a half) of calculus who wants to develop, in a short time, a basic competence in each of the many areas of mathematics needed in junior to senior-graduate courses in physics, chemistry, and engineering. Thus it is intended to be accessible to sophomores (or freshmen with AP calculus from high school). It may also be used effectively by a more advanced student to review half-forgotten topics or learn new ones, either by independent study or in a class. Although the book was written especially for students of the physical sciences, students in any field (say mathematics or mathematics for teaching) may find it useful to survey many topics or to obtain some knowledge of areas they do not have time to study in depth. Since theorems are stated carefully, such students should not need to unlearn anything in their later work.
The question of proper mathematical training for students in the physical sciences is of concern to both mathematicians and those who use mathematics in applications. Some instructors may feel that if students are going to study mathematics at all, they should study it in careful and thorough detail. For the undergraduate physics, chemistry, or engineering student, this means either (1) learning more mathematics than a mathematics major or (2) learning a few areas of mathematics thoroughly and the others only from snatches in science courses. The second alternative is often advocated; let me say why I think it is unsatisfactory.
Book Detail :-
Title: Mathematical Methods in the Physical Sciences
Edition: 3rd
Author(s): Mary L. Boas
Publisher: Wiley
Series:
Year: 2005
Pages: 930
Type: PDF
Language: English
ISBN: 0471198269,9780471198260
Country: US
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About Author :-
The author Mary Layne Boas (1917–2010) was an American mathematician and physics professor best known as the author of Mathematical Methods in the Physical Sciences (1966), an undergraduate textbook that was still widely used in colleges and universities.
She received a bachelor's degree (1938) and a master's degree (1940) in mathematics at the University of Washington, and a Ph.D. (1948) in physics at the Massachusetts Institute of Technology.
She taught physics at DePaul University in Chicago for thirty years, retiring in 1987 to return to Washington. Prior to her time at DePaul University, she served as an instructor in the mathematics department at Duke University.
In 2005, at the age of 88, Boas published the third edition of her textbook. She established the Mary L. Boas Endowed Scholarship at the University of Washington in 2008 to recognize outstanding academic achievements by female students in physics.
Mathematical Methods in the Physical Sciences (3E) by
Mary L. Boas
cover the following topics.
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. CALCULUSOF 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
REFERENCES
ANSWERS TO SELECTED PROBLEMS
INDEX
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