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The Classical Theory of Integral Equations: A Concise Treatment - Softcover

 
9780817683504: The Classical Theory of Integral Equations: A Concise Treatment

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Synopsis

Preface.- Introduction.- Fredholm Integral Equations of the Second Kind (Separable Kernel).- Fredholm Integral Equations of the Second Kind (General Kernel).- Volterra Integral Equations.- Differential and Integrodifferential Equations.- Nonlinear Integral Equations.- Singular Integral Equations.- Systems of Integral Equations.- Appendix A 2010 Mathematics Subject Classification 45-XX Integral Equations.- Appendix B Specialized Vocabularies and Sample Translations.- Bibliography.- Index.

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Review

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“The textbook under review is a concise introduction to the classical theory of integral equations. The textbook is written for an advanced undergraduate student or an early graduate student; it is essentially self-contained. Comprehensive examples are presented that reinforce underlying theories and illustrate computational procedures. The textbook consists of eight chapters and two appendices ... . Each chapter begins with a section titled ‘Tools of the trade’ that contains all the necessary prerequisites. ... Each section ends with a list of 5–15 exercises.” (Alexei Yu. Karlovich, Mathematical Reviews, April, 2013)

“This book covers the classical theory of linear, scalar Fredholm and Volterra equations. ... All chapters include numerous simple examples ... . useful for engineering students wishing to learn the fundamentals of integral equation theory.” (Stig-Olof Londen, zbMATH, Vol. 1270, 2013)

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9780817683481: The Classical Theory of Integral Equations: A Concise Treatment

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ISBN 10:  0817683488 ISBN 13:  9780817683481
Publisher: Birkhäuser, 2012
Hardcover