Published March 12, 1992
by Oxford University Press, USA .
Written in English
|The Physical Object|
|Number of Pages||456|
I'm looking for a good reference on integral equations (i.e., an equation in which an unknown function appears under an integral sign such as the Fredholm equation). I would like something accessible but covers approaches to showing existence. Any help would be much appreciated. This classic text on integral equations by the late Professor F. G. Tricomi, of the Mathematics Faculty of the University of Turin, Italy, presents an authoritative, well-written treatment of the subject at the graduate or advanced undergraduate level. To render the book accessible to as wide an audience as possible, the author has kept the mathematical knowledge required on 5/5(2). The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory. The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Cited by: The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations. Discover .
The book begins with a short review of calculus and ordinary differential equations, then moves on to explore integral curves and surfaces of vector fields, quasi-linear and linear equations of first order, series solutions and the Cauchy Kovalevsky theorem. Book Description. Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2, 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 . Two distinct but related approaches hold the solutions to many mathematical problems--the forms of expression known as differential and integral equations. The method employed by the integral equation approach specifically includes the boundary conditions, which confers a valuable advantage. In Pages: Chapter 7 INTEGRAL EQUATIONS Linear Operators Let M and N be two complete normed vectors spaces (Banach spaces, see Ch) with norms M ⋅ and N ⋅, correspondingly. We define an operator L as a map (function) from the vector space M to the vector space N: L: M →N Introduce the following definitions concerning the operators in the vectorFile Size: 1MB.
MT - Integral equations Introduction Integral equations occur in a variety of applications, often being obtained from a differential equation. The reason for doing this is that it may make solution of the problem easier or, sometimes, enable us to prove fundamental results on the existence and uniqueness of the solution. About this book This classic work is now available in an unabridged paperback edition. Hochstatdt's concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing the most desirable features of each. "This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math. Reviews, ) "This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a : Springer-Verlag New York. This chapter discusses singular integral equations. For the integration of an unbounded function, the notion of an improper integral is used. The notion of the principal value, and the term, were introduced by Cauchy. The idea of a principal value is easily extended to contour integrals.