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A First Look at Perturbation Theory
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Bibliographic Detail
Publisher Dover Pubns
Publication date July 10, 1997
Pages 139
Binding Paperback
Edition 2
Book category Adult Non-Fiction
ISBN-13 9780486675510
ISBN-10 0486675513
Dimensions 0.50 by 5.75 by 8.75 in.
Weight 0.40 lbs.
Original list price $11.95
Other format details sci/tech
Summaries and Reviews
Amazon.com description: Product Description:

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.



Editions
Hardcover
from Krieger Pub Co (December 1, 1986)
9780898748161 | details & prices | 6.50 × 9.50 × 0.50 in. | 0.85 lbs | List price $17.50
About: Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text.
Paperback
Book cover for 9780486675510
 
The price comparison is for this edition
2 edition from Dover Pubns (July 10, 1997)
9780486675510 | details & prices | 139 pages | 5.75 × 8.75 × 0.50 in. | 0.40 lbs | List price $11.95
About: Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text.

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