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Zusatztext "This well-known handbook is now a standard reference. It contains over 2!500 integral equations with solutions! as well as analytical numerical methods for solving linear and non-linear equations . . . the number of equations described in an order of magnitude greater than in any other book available." - Jürgen Appell! in Zentralblatt Math! 2009 Informationen zum Autor Polyanin Polyanin, Alexander V. Manzhirov Klappentext This updated edition contains more than 2!500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores equations that arise in mathematics! physics! engineering! the sciences! and economics. Zusammenfassung Suitable for engineers and scientists, this title contains over 2,400 integral equations with solutions, as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener-Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, and the sciences. Inhaltsverzeichnis Authors, Preface, Some Remarks and Notation, Part I. Exact Solutions of Integral Equations, 1. Linear Equations of the First Kind with Variable Limit of Integration, 2. Linear Equations of the Second Kind with Variable Limit of Integration, 3. Linear Equations of the First Kind with Constant Limits of Integration, 4. Linear Equations of the Second Kind with Constant Limits of Integration, 5. Nonlinear Equations of the First Kind with Variable Limit of Integration, 6. Nonlinear Equations of the Second Kind with Variable Limit of Integration, 7. Nonlinear Equations of the First Kind with Constant Limits of Integration, 8. Nonlinear Equations of the Second Kind with Constant Limits of Integration, Part II. Methods for Solving Integral Equations, 9. Main Definitions and Formulas. Integral Transforms, 10-13. Methods for Solving Linear Equations of the Form, 14. Methods for Solving Singular Integral Equations of the First Kind, 15. Methods for Solving Complete Singular Integral Equations, 16. Methods for Solving Nonlinear Integral Equations, 17. Methods for SolvingMultidimensional Mixed Integral Equations, 18. Application of Integral Equations for the Investigation of Differential Equations, Supplements, References, Index...
