Linear Integral Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Linear Integral Equations by William Vernon Lovitt, Dover Publications
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Author: William Vernon Lovitt ISBN: 9780486174648
Publisher: Dover Publications Publication: March 5, 2014
Imprint: Dover Publications Language: English
Author: William Vernon Lovitt
ISBN: 9780486174648
Publisher: Dover Publications
Publication: March 5, 2014
Imprint: Dover Publications
Language: English
Readable and systematic, this volume offers coherent presentations of not only the general theory of linear equations with a single integration, but also of applications to differential equations, the calculus of variations, and special areas in mathematical physics. Topics include the solution of Fredholm’s equation expressed as a ratio of two integral series in lambda, free and constrained vibrations of an elastic string, and auxiliary theorems on harmonic functions. Discussion of the Hilbert-Schmidt theory covers boundary problems for ordinary linear differential equations, vibration problems, and flow of heat in a bar. 1924 edition.
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Readable and systematic, this volume offers coherent presentations of not only the general theory of linear equations with a single integration, but also of applications to differential equations, the calculus of variations, and special areas in mathematical physics. Topics include the solution of Fredholm’s equation expressed as a ratio of two integral series in lambda, free and constrained vibrations of an elastic string, and auxiliary theorems on harmonic functions. Discussion of the Hilbert-Schmidt theory covers boundary problems for ordinary linear differential equations, vibration problems, and flow of heat in a bar. 1924 edition.

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