Integral equations
著者
書誌事項
Integral equations
（Oxford applied mathematics and computing science series）
Kodansha , Clarendon Press, 1991
- : Japan
- : U.K
- : U.K., pbk
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注記
Bibliography: p. [423]-428
Includes index
内容説明・目次
内容説明
Integral equations arise in a wide variety of mathematical and scientific problems. This textbook is devoted to the study and solution of such equations and provides a unified treatment of the theory together with a description of the range of solution methods. Throughout, a wide selection of exercises has been designed to help further a student's understanging of the subject, as well as to impart familiarity with the most important methods of solution. All the main classes of integral equations are covered, including Volterra, Fredholm and non-linear integral equations. The close relationship with differential equations is also explored in order that students develop an understanding of the relationship between the two classes of equation and their relative merits for solving problems.
目次
- PART I: FUNDAMENTAL THEORIES OF INTEGRAL EQUATIONS
- Introduction and classification of integral equations
- Methods of solution of integral equations
- Particular methods of solution of integral equations
- Method of approximate solutions of integral equations
- Applications of integral equations (I)
- PART II: SPECIAL THEORIES OF INTEGRAL EQUATIONS: summary of special theories
- Symmetric kernels
- Singular integral equations
- Singular kernels
- Nonlinear integral equations
- Applications of integral equations (II).
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