Collected Papers III

Israel M. Gelfand (Autor)

S.G. Gindikin, Victor W. Guillemin, A.A. Kirillov, Bertram Kostant, Shlomo Sternberg (Herausgeber)

Buch | Softcover

XIV, 1075 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 1989
Springer Berlin (Verlag)
978-3-642-30813-0 (ISBN)

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I.M.Gelfand, one of the leading contemporary mathematicians, largely determined the modern view of functional analysis with its numerous relations to other branches of mathematics, including mathematical physics, algebra, topology, differential geometry and analysis. With the publication of these Collected Papers in three volumes Gelfand gives a representative choice of his papers written in the last fifty years. Gelfand's research led to the development of remarkable mathematical theories - most now classics - in the field of Banach algebras, infinite-dimensional representations of Lie groups, the inverse Sturm-Liouville problem, cohomology of infinite-dimensional Lie algebras, integral geometry, generalized functions and general hypergeometric functions. The corresponding papers form the major part of the Collected Papers. Some articles on numerical methods and cybernetics as well as a few on biology are included. A substantial part of the papers have been translated into English especially for this edition. This edition is rounded off by a preface by S.G.Gindikin, a contribution by V.I.Arnold and an extensive bibliography with almost 500 references. Gelfand's Collected Papers will provide stimulating and serendipitous reading for researchers in a multitude of mathematical disciplines.

Contents: Integral geometry.- Cohomology and characteristic classes.- Functional integration; probability; information theory.- Mathematics of computation; cybernetics; biology.- General theory of hypergeometric functions.- Appendix.- An Editorial Perspective.- Table of contents for volumes I and II.- Bibliography.- Acknowledgements.

Erscheinungsdatum	09.02.2016
Reihe/Serie	Springer Collected Works in Mathematics
Zusatzinfo	XIV, 1075 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Analysis • cerebellum • Characteristic Classes • cohomology • Cybernetics • Differential Geometry • functional spaces • Grassmann manifolds • hypergeometric functions • Integral Geometry • Lie algebra • Lie groups • mathematics and statistics • Physiological, Cellular and Medical Topics • Probability theory and stochastic processes • Quantum Physics • spinal interneurons • Theoretical, Mathematical and Computational Physic • Topology
ISBN-10	3-642-30813-9 / 3642308139
ISBN-13	978-3-642-30813-0 / 9783642308130
Zustand	Neuware