| Handbook of Integral Equations, Second Edition, a unique reference for engineers and scientists, contains over 2,500 integral equationswith solutions, aswell as analytical and numerical methods for solving linear and nonlinear equations. It considersVolterra,Fredholm,Wiener–Hopf,Hammerstein, Urysohn, and other equations,which arise inmathematics, physics, engineering sciences, economics, etc. In total, the number of equations described is an order of magnitude greater than in any other book available.
The second edition has been substantially updated, revised, and extended. It includes new chapters on mixed multidimensional equations, methods of integral equations for ODEs and PDEs, and about 400 new equations with exact solutions. It presents a considerable amount of new material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions. Many examples were added for illustrative purposes. The new edition has been increased by a total of over 300 pages.
Note that the first part of the book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.
We would like to express our deep gratitude to Alexei Zhurov and Vasilii Silvestrov for fruitful discussions. We also appreciate the help of Grigory Yosifian in translating new sections of this book and valuable remarks.
The authors hope that the handbookwill prove helpful for a wide audience of researchers, college and university teachers, engineers, and students in various fields of appliedmathematics, mechanics, physics, chemistry, biology, economics, and engineering sciences. |
