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A First Course in Integral Equations cover
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The second edition of A First Course in Integral Equations integrates the newly developed methods with classical techniques to give modern and robust approaches for solving integral equations. The manual accompanying this edition contains solutions to all exercises with complete step-by-step details. To interested readers trying to master the concepts and powerful techniques, this manual is highly useful, focusing on the readers' needs and expectations. It contains the same notations used in the textbook, and the solutions are self-explanatory. It is intended for scholars and researchers, and can be used for advanced undergraduate and graduate students in applied mathematics, science and engineering.

Sample Chapter(s)
Chapter 1: Introductory Concepts (263 KB)

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Contents:
  • Introductory Concepts
  • Fredholm Integral Equations
  • Volterra Integral Equations
  • Fredholm Integro-Differential Equations
  • Volterra Integro-Differential Equations
  • Singular Integral Equations
  • Nonlinear Fredholm Integral Equations
  • Nonlinear Volterra Integral Equations

Readership: Advanced undergraduates, graduate students, and researchers in mathematics, science and engineering.