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Editorial Reviews
Review
The number of equations described in this book is of a magnitude greater than in other available books.
--European Mathematical Society
When compiling this handbook, the author had not just mathematicians in mind, but physicists, engineers, etc. as well. This group in particular will be able to use profitably the extensive first part of the book which collects the solutions of over 2100 integral equation arranged in an intelligible order…the handbook provides a wealth of useful material.
-Buchbesprechungen - Book Reviews
When compiling this handbook, the author had not just mathematicians in mind, but physicists, engineers, etc. as well. This group in particular will be able to use profitably the extensive first part of the book which collects the solutions of over 2100 integral equation arranged in an intelligible order…the handbook provides a wealth of useful material.
-Buchbesprechungen - Book Reviews --This text refers to the Hardcover edition.
Product Description
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 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, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor.
The number of equations described in this book is of a magnitude greater than in other available books.
--European Mathematical Society
When compiling this handbook, the author had not just mathematicians in mind, but physicists, engineers, etc. as well. This group in particular will be able to use profitably the extensive first part of the book which collects the solutions of over 2100 integral equation arranged in an intelligible order…the handbook provides a wealth of useful material.
-Buchbesprechungen - Book Reviews
When compiling this handbook, the author had not just mathematicians in mind, but physicists, engineers, etc. as well. This group in particular will be able to use profitably the extensive first part of the book which collects the solutions of over 2100 integral equation arranged in an intelligible order…the handbook provides a wealth of useful material.
-Buchbesprechungen - Book Reviews --This text refers to the Hardcover edition.
Product Description
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 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, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor.
New to the Second Edition
• New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions
• More than 400 new equations with exact solutions
• New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs
• Additional examples for illustrative purposes
To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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integration formulas, differentiation formulas, reduction formulas, quadrature method, singular equations, trigonometric series, simpler auxiliary equation, equation yxx, xis any number, linear nonhomogeneous ordinary differential equation, mixed integral equations, general singular integral equation, multiple characteristic values, nonsingular endpoints, eliminating the integral term, constant integration limits, eigenfunction expansion coefficients, original integral equation, hypersingular equation, transposed homogeneous equation, problem for the real axis, equations with difference kernel, left regularization, oscillation kernel, right regularization Key Phrases - Capitalized Phrases (CAPs): (learn more)
Integrals Involving, Nonlinearity of the Form, Other Equations, Consider the Fredholm, Some Generalizations, Throughout Supplement, Other Integrands, Integrals Over, Kernels Containing Sine, Power-Law Functions No Original, Kernels Containing Cotangent, Solution Method, Consider the Volterra, Kernels Containing Logarithmic Functions, Special Functions No Original, Let Rev, General Scheme of the Method, Kernels Containing Hyperbolic Sine, Trigonometric Functions No Original, Exponential Functions No Original, Kernels Quadratic, General Formulas No Original, Kernels Containing Cosine, The Mathieu, Kernels Containing Hyperbolic Tangent Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
integration formulas, differentiation formulas, reduction formulas, quadrature method, singular equations, trigonometric series, simpler auxiliary equation, equation yxx, xis any number, linear nonhomogeneous ordinary differential equation, mixed integral equations, general singular integral equation, multiple characteristic values, nonsingular endpoints, eliminating the integral term, constant integration limits, eigenfunction expansion coefficients, original integral equation, hypersingular equation, transposed homogeneous equation, problem for the real axis, equations with difference kernel, left regularization, oscillation kernel, right regularization Key Phrases - Capitalized Phrases (CAPs): (learn more)
Integrals Involving, Nonlinearity of the Form, Other Equations, Consider the Fredholm, Some Generalizations, Throughout Supplement, Other Integrands, Integrals Over, Kernels Containing Sine, Power-Law Functions No Original, Kernels Containing Cotangent, Solution Method, Consider the Volterra, Kernels Containing Logarithmic Functions, Special Functions No Original, Let Rev, General Scheme of the Method, Kernels Containing Hyperbolic Sine, Trigonometric Functions No Original, Exponential Functions No Original, Kernels Quadratic, General Formulas No Original, Kernels Containing Cosine, The Mathieu, Kernels Containing Hyperbolic Tangent Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
15
books
cite this book:
See all 15 books citing this book
- Handbook of Linear Partial Differential Equations for Engineers and Scientists by Andrei D. Polyanin in Front Matter, and Back Matter
- IUTAM Symposium on Advances in Mathematical Modelling Atmosphere and Ocean Dynamics by P.F. Hodnett on page 44
- Analysis for Applied Mathematics by Ward Cheney in Back Matter
- Average Case Analysis of Algorithms on Sequences (Wiley-Interscience Series in Discrete Mathematics and Optimization) by Wojciech Szpankowski in Back Matter
- Stereology and Stochastic Geometry (Computational Imaging and Vision) by John E. Hilliard on page 272
See all 15 books citing this book
What Do Customers Ultimately Buy After Viewing This Item?
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89% buy the item featured on this page: Handbook of Integral Equations (Handbooks of Mathematical Equations) $111.65 |
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11% buy Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review $27.03 |
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