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The Classical Theory of Integral Equations : A Concise Treatment / by Stephen M. Zemyan
Edition | 1st ed. 2012. |
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Publisher | (Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser) |
Year | 2012 |
Size | XIII, 344 p : online resource |
Authors | *Zemyan, Stephen M author SpringerLink (Online service) |
Subjects | 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 |
Notes | 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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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9780817683498 |
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電子リソース |
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EB00204168 |
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