Pontryagin Selected Works (4 V by GAMKRELIDZE

Pontryagin Selected Works (4 V
Page Count: 1776 pages
Published Date: 06 Mar 1987
Publisher: Gordon and Breach
Publication Country: Amsterdam, Netherlands
Language: English
ISBN: 9782881240966
File size: 25 Mb
File Name: Pontryagin.Selected.Works.(4.V.pdf
Download Link: Pontryagin Selected Works (4 V

This four-volume set presents the work and insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics.Volume 1, Selected Research Papers, contains the most important papers of this eminent mathematician, those that have influenced many generations of mathematicians worldwide. They chronicle the development of his work in many areas, from his early efforts in homology groups, duality theorems, and dimension theory to his later achievements in homotopic topology and optimal control theory.Volume 2, Topological Groups, examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.Volume 3, Algebraic and Differential Topology presents fundamentals of homology theory. It defines the concept of a complex and its Betti groups, discusses the topolgoical invariance of a Betti grou, and presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. Volume 4, presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature.

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