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＜電子ブック＞
The Classical Theory of Integral Equations : A Concise Treatment / by Stephen M. Zemyan

版	1st ed. 2012.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2012
大きさ	XIII, 344 p : online resource
著者標目	*Zemyan, Stephen M author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Engineering mathematics LCSH:Engineering—Data processing LCSH:Mathematical physics LCSH:Mathematics FREE:Differential Equations FREE:Mathematical and Computational Engineering Applications FREE:Mathematical Physics FREE:Applications of Mathematics
一般注記	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 The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations.  The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field.  With a firm foundation for the theory in their grasp, students will be well prepared and motivated for further study. Included in the presentation are:  • A section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter; • Thorough discussions of the analytical methods used to solve many types of integral equations; • An introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations; • Over 80 illustrative examples that are explained in meticulous detail; • Nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts; • Guides to Computation to assist the student with particularly complicated algorithmic procedures. This unique textbook offers a comprehensive and balanced treatment of material needed for a general understanding of the theory of integral equations by using only the mathematical background that a typical undergraduate senior should have.  The self-contained book will serve as a valuable resource for advanced undergraduate and beginning graduate-level students as well as for independent study.  Scientists and engineers who are working in the field will also find this text to be user friendly and informative HTTP:URL=https://doi.org/10.1007/978-0-8176-8349-8

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