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Birkhäuser - Birkhäuser Mathematics | The Classical Theory of Integral Equations - A Concise Treatment

The Classical Theory of Integral Equations

A Concise Treatment

Zemyan, Stephen M.

2012, XIII, 344 p.

A product of Birkhäuser Basel
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  • Provides complete and straightforward coverage of topics central to the theory of integral equations
  • Includes chapter-by-chapter exercises and illustrative examples
  • Includes “Tools of the Trade” sections that provide essential review material
  • Features computation guides for especially complicated computational procedures
  • Useful as a self-study guide

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.

Content Level » Upper undergraduate

Keywords » Fredholm equations - Volterra equations - differential equations - integral equations - integrodifferential equations - nonlinear equations - singular equations

Related subjects » Birkhäuser Engineering - Birkhäuser Mathematics

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