9780486821603

Approximate Methods of Higher Analysis

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  • ISBN13:

    9780486821603

  • ISBN10:

    0486821609

  • Format: Paperback
  • Copyright: 2018-05-16
  • Publisher: Dover Publications
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Summary

A unique text and reference for pure and applied mathematicians, engineers, physicists, and chemists, this book was a landmark in the literature of computational methods in mathematical physics in the twentieth century. The treatment remains of great interest because of its thoroughness and scope. A valuable historic source for methods and approaches to problems of mathematical physics, this text is enhanced by many detailed, worked-out examples.
Topics include methods based on the representation of the solution as an infinite series, the approximate solution of the integral equations of Swedish mathematician Erik Ivar Fredholm, the method of nets, and variational methods. Additional subjects include the conformal transformation of regions, principles of the application of conformal transformation to the solution of the fundamental problems for canonical regions, and Polish mathematician Dr. Hermann Schwarz's method.

Author Biography

Leonid Vitaliyevich Kantorovich (1912–1986) was a prominent Soviet mathematician who did important work in many areas of mathematics including functional analysis, operator theory, and approximation theory. He graduated from Leningrad University at the age of 18 and was a full professor there four years later. He is regarded as the founder of linear programming.
Vladimir Ivanovich Krylov (1902–1994) was also a Soviet mathemnatician.

Table of Contents

Table of Contents
 
Preface to the Third Edition
From the Preface to the Second Edition
Translator's Preface
Chapter I: Methods Based on the Representation of the Solution as an Infinite Series
Chapter II: The Approximate Solutioin of the Integral Equations of Fredholm
Chapter III: The Method of Nets
Chapter IV: Variational Methods
Chapter V: The Conformal Transformation of Regions
Chapter VI: Principles of the Application of Conformal Transformation to the Solution of the Fundamental Problems for Canonical Regions
Chapter VII: Schwarz's Method
 

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