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First Course Integ Equa (2nd Ed)

by Wazwaz Abdul-Majid

A structured introduction to integral equations

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Hardcover New English

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AlbakiReads Editorial

A structured introduction to integral equations

This revised edition brings classical techniques together with newer methods for solving linear and nonlinear Fredholm and Volterra integral equations, covering equations of the first and second kinds. Its nine-chapter organization gives six chapters to linear equations, two to nonlinear equations, and a final chapter to applications in mathematics, science, and engineering. Worked examples, practical exercises, and selected applications connect the methods with their use across these fields. The book is framed as an accessible course text, including for readers coming from outside mathematics, while also addressing advanced study and research.

Good fit for readers who enjoy

  • Advanced undergraduate and graduate students in applied mathematics, science, or engineering
  • Researchers and scholars working with integral equations
  • Readers from non-mathematics backgrounds seeking an introductory treatment

Themes

Linear and nonlinear integral equationsFredholm and Volterra equationsMethods for solving integral equationsApplications in mathematics, science, and engineering

Based on publisher information and book metadata.

Book overview

This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations. It provides a comprehensive treatment of linear and nonlinear Fredholm and Volterra integral equations of the first and second kinds. The materials are presented in an accessible and straightforward manner to readers, particularly those from non-mathematics backgrounds. Numerous well-explained applications and examples as well as practical exercises are presented to guide readers through the text. Selected applications from mathematics, science and engineering are investigated by using the newly developed methods.

This volume consists of nine chapters, pedagogically organized, with six chapters devoted to linear integral equations, two chapters on nonlinear integral equations, and the last chapter on applications. It is intended for scholars and researchers, and can be used for advanced undergraduate and graduate students in applied mathematics, science and engineering.

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