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Gamma-Lines

Gamma-Lines

Paperback

Series: Modern Analysis

FictionCalculusGeneral Mathematics

ISBN10: 0367395916
ISBN13: 9780367395919
Publisher: Crc Pr Inc
Published: Sep 5 2019
Pages: 192
Weight: 0.55
Height: 0.50 Width: 6.10 Depth: 9.20
Language: English
The history of mathematics is, to a considerable extent, connected with the study of solutions of the equation f(x)=a=const for functions f(x) of one real or complex variable. Therefore, it is surprising that we know very little about solutions of u(x, y)=A=const for functions of two real variables. These two solutions, called level of sets, are very important with regard to applications in physics, biology and economics as they make a map of appropriate processes described by the function u(x, y) for given parameters (x, y). This text explores a concept, Gamma-lines, which generalizes the concept of levels of sets and, at the same time, the concept of a-points. The authors provide a book on Gamma-lines for the broad specialist and show the large range of their field of applications. The general methods proposed in this volume are useful for both physicists and engineers.

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Calculus