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The Classical Theory of Integral Equations

Hardcover

Published: 10th July 2012
Ships: 7 to 10 business days
RRP $160.99
$144.95
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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.

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.

ISBN: 9780817683481
ISBN-10: 0817683488
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 360
Published: 10th July 2012
Publisher: BIRKHAUSER BOSTON INC
Dimensions (cm): 23.4 x 15.6  x 2.0
Weight (kg): 0.701