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|a 9780817683498
|9 978-0-8176-8349-8
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|a 10.1007/978-0-8176-8349-8
|2 doi
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|a 515.35
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|a Zemyan, Stephen M.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a The Classical Theory of Integral Equations
|h [electronic resource] :
|b A Concise Treatment /
|c by Stephen M. Zemyan.
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|a 1st ed. 2012.
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|a Boston, MA :
|b Birkhäuser Boston :
|b Imprint: Birkhäuser,
|c 2012.
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|a XIII, 344 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
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|a online resource
|b cr
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|a text file
|b PDF
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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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|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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|a Differential equations.
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|a Engineering mathematics.
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|a Engineering-Data processing.
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|a Mathematical physics.
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|a Mathematics.
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|a Differential Equations.
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|a Mathematical and Computational Engineering Applications.
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|a Mathematical Physics.
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|a Applications of Mathematics.
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9780817683481
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|i Printed edition:
|z 9780817683504
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|u https://doi.uam.elogim.com/10.1007/978-0-8176-8349-8
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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