Background
Mann, James Edward was born on November 17, 1936 in Bluefield, West Virginia, United States. Son of James E. and Lucy Austin (Higginbotham) Mann.
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book
A First Look at Perturbation Theory (Dover Books on Physics)
( Undergraduates in engineering and the physical sciences...)
Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.
http://www.amazon.com/gp/product/0486675513/?tag=2022091-20
A First Look at Perturbation Theory (Dover Books on Physics) by James G. Simmonds (1997-07-10)
http://www.amazon.com/gp/product/B01FGIKZDM/?tag=2022091-20
James Edward Mann
Edit ProfileEducation
Bachelor of Science, Virginia Technology, 1959; Master of Science, Harvard University, 1960; Doctor of Philosophy, Harvard University, 1964.
Career
Geophysicist, Exxon Production Research, Houston, 1963-1965; assistant, associate professor, University of Virginia, Charlottesville, Virginia, 1965-1982; professor, Wheaton (Illinois) College, since 1982. Consultant United States Army Foreign Svc. & Technology Center, Charlottesville, 1978-1982.
Achievements
Works
book
-
A First Look at Perturbation Theory (Dover Books on Physics)
( Undergraduates in engineering and the physical sciences...)
- A First Look at Perturbation Theory
- A First Look at Perturbation Theory (Dover Books on Physics) by James G. Simmonds (1997-07-10)
-
A First Look at Perturbation Theory (Dover Books on Physics)
Membership
Member Mathematics Association American, Society for Industrial and Applied Mathematics, College Church, Trinity Presbyterian Church (elder 1976-1982).
Connections
Married Dorothy Weyenberg, June 30, 1962. Children: David, Sarah, Martha, John.
