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Ordinary Differential Equations - (Dover Books on Mathematics) by Edward Lindsay Ince (Paperback)

CTNR801600 09780486603490 CTNR801600

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2023-11-29 USD 20.26

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Ordinary Differential Equations - (Dover Books on Mathematics) by  Edward Lindsay Ince (Paperback)
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Number of Pages: 576
Genre: Mathematics
Sub-Genre: Differential Equations
Series Title: Dover Books on Mathematics
Format: Paperback
Publisher: Dover Publications
Age Range: Adult
Book theme: General
Author: Edward Lindsay Ince
Language: English



About the Book



Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; much more. "Highly recommended" -- Electronics Industries.



Book Synopsis



The theory of ordinary differential equations in real and complex domains is here clearly explained and analyzed. Not only classical theory, but also the main developments of modern times are covered. Exhaustive sections on the existence and nature of solutions, continuous transformation groups, the algebraic theory of linear differential systems, and the solution of differential equations by contour integration are as valuable to the pure mathematician as the fine treatment of the equations of Legendre, Bessel, and Mathieu, the conditions for the oscillatory character of solutions of a differential equation, and the relation between a linear differential system and an integral equation are to the engineer and the physicist.
Partial contents: real domain (elementary methods of integration, the existence and nature of solutions, continuous transformation-groups, linear differential equations-the general theory, with constant coefficients, solutions, algebraic theory, Sturmian theory, and later developments); complex domain (existence theorems, equations of first order, non-linear equations of higher order, solutions, systems, classifications of linear equations, oscillation theorems).
"Highly recommended." -- Electronics Industries.
"Deserves the highest praise." -- Bulletin, American Mathematical Society.

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