Ordinary Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Ordinary Differential Equations by Edward L. Ince, Dover Publications
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Author: Edward L. Ince ISBN: 9780486158211
Publisher: Dover Publications Publication: April 27, 2012
Imprint: Dover Publications Language: English
Author: Edward L. Ince
ISBN: 9780486158211
Publisher: Dover Publications
Publication: April 27, 2012
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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