Gamma-Lines : On the Geometry of Real and Complex Functions
Book Details
Format
Hardback or Cased Book
Book Series
Modern Analysis Series
ISBN-10
0415269695
ISBN-13
9780415269698
Publisher
Taylor & Francis Ltd
Imprint
CRC Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Aug 15th, 2002
Print length
192 Pages
Weight
528 grams
Dimensions
26.30 x 18.30 x 1.60 cms
Product Classification:
AlgebraComplex analysis, complex variables
Ksh 22,500.00
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This volume studies the concepto of Gamma-lines which generalizes the concept of levels of sets and, at the same time, the concept of a-points. The aim of the authors is to provide a book on Gamma-lines for the broad specialist and to show the large range of their field of applications.
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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