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130626 ||| eng |
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|a 9780817683498
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|a Zemyan, Stephen M.
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|a The Classical Theory of Integral Equations
|h Elektronische Ressource
|b A Concise Treatment
|c by Stephen M. Zemyan
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| 250 |
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|a 1st ed. 2012
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| 260 |
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|a Boston, MA
|b Birkhäuser Boston
|c 2012, 2012
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| 300 |
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|a XIII, 344 p
|b online resource
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| 505 |
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|a 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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| 653 |
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|a Applied mathematics
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| 653 |
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|a Engineering mathematics
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| 653 |
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|a Applications of Mathematics
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| 653 |
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|a Mathematical and Computational Engineering
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| 653 |
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|a Mathematical Physics
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Ordinary Differential Equations
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| 653 |
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|a Differential equations
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 856 |
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|u https://doi.org/10.1007/978-0-8176-8349-8?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515.352
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| 520 |
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|a 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
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