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Elements of the Theory of Functions and Functional Analysis (Dover Books on Mathematics) - Softcover

Kolmogorov, A. N.

 
9780486406831: Elements of the Theory of Functions and Functional Analysis (Dover Books on Mathematics)
Softcover
ISBN 10: 0486406830 ISBN 13: 9780486406831
Verlag: Dover Publications Inc., 1999

Inhaltsangabe

Originally published in two volumes, this advanced-level text is based on courses and lectures given by the authors at Moscow State University and the University of Moscow.
Reprinted here in one volume, the first part is devoted to metric and normal spaces. Beginning with a brief introduction to set theory and mappings, the authors offer a clear presentation of the theory of metric and complete metric spaces. The principle of contraction mappings and its applications to the proof of existence theorems in the theory of differential and integral equations receives detailed analysis, as do continuous curves in metric spaces &; a topic seldom discussed in textbooks.
Part One also includes discussions of other subjects, such as elements of the theory of normed linear spaces, weak sequential convergence of elements and linear functionals, adjoint operators, and linear operator equations. Part Two focuses on an exposition of measure theory, the Lebesque interval and Hilbert Space. Both parts feature numerous exercises at the end of each section and include helpful lists of symbols, definitions, and theorems.

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Über die Autorin bzw. den Autor

A. N. Kolmogorov (1903-87) was a prominent Russian mathematician who made significant contributions to many areas of math, including probability theory, topology, logic, turbulence, and mechanics. In his many years on the faculty of Moscow State University, Dr. Kolmogorv's doctoral students included several who became prominent 20th-century mathematicians.

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Verlag
Dover Publications Inc.
Erscheinungsdatum
1999
Sprache
Englisch
ISBN 10 
0486406830
ISBN 13 
9780486406831
Einband
Taschenbuch
Anzahl der Seiten
288
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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