Bernard R. Gelbaum's Books

Modern Real and Complex Analysis

By: Bernard R. Gelbaum

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Modern Real and Complex Analysis

By: Bernard R. Gelbaum

Modern Real and Complex Analysis Thorough, well-written, and encyclopedic in its coverage, this textoffers a lucid presentation of all the topics essential to graduatestudy in analysis. While maintaining the strictest standards ofrigor, Professor Gelbaum's approach is designed to appeal tointuition whenever possible. Modern Real and Complex Analysisprovides up-to-date treatment of such subjects as the Daniellintegration, differentiation, functional analysis and Banachalgebras, conformal mapping and Bergman's kernels, defectivefunctions, Riemann surfaces and uniformization, and the role ofconvexity in analysis. The text supplies an abundance of exercisesand illustrative examples to reinforce learning, and extensivenotes and remarks to help clarify important points.

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Page Count

506

Publisher

John Wiley & Sons

Published Date

ISBN 10

111803080X

ISBN 13

9781118030806

Problems in Real and Complex Analysis

By: Bernard R. Gelbaum

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Problems in Real and Complex Analysis

By: Bernard R. Gelbaum

This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.

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Page Count

490

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461209250

ISBN 13

9781461209256

Theorems and Counterexamples in Mathematics

By: Bernard R. Gelbaum,John M.H. Olmsted

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Theorems and Counterexamples in Mathematics

By: Bernard R. Gelbaum,John M.H. Olmsted

The gratifying response to Counterexamples in analysis (CEA) was followed, when the book went out of print, by expressions of dismay from those who were unable to acquire it. The connection of the present volume with CEA is clear, although the sights here are set higher. In the quarter-century since the appearance of CEA, mathematical education has taken some large steps reflected in both the undergraduate and graduate curricula. What was once taken as very new, remote, or arcane is now a well-established part of mathematical study and discourse. Consequently the approach here is designed to match the observed progress. The contents are intended to provide graduate and ad vanced undergraduate students as well as the general mathematical public with a modern treatment of some theorems and examples that constitute a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology. The items included are presented in the spirit of a conversation among mathematicians who know the language but are interested in some of the ramifications of the subjects with which they routinely deal. Although such an approach might be construed as demanding, there is an extensive GLOSSARY jlNDEX where all but the most familiar notions are clearly defined and explained. The object ofthe body of the text is more to enhance what the reader already knows than to review definitions and notations that have become part of every mathematician's working context.

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Page Count

339

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461209935

ISBN 13

9781461209935

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

By: Aram Aruti?u?novich Sveshnikov,Bernard R. Gelbaum

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Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

By: Aram Aruti?u?novich Sveshnikov,Bernard R. Gelbaum

Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

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Page Count

516

Publisher

Courier Corporation

Published Date

ISBN 10

0486637174

ISBN 13

9780486637174

Counterexamples in Analysis

By: Bernard R. Gelbaum,John M. H. Olmsted

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Counterexamples in Analysis

By: Bernard R. Gelbaum,John M. H. Olmsted

These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.

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Page Count

226

Publisher

Courier Corporation

Published Date

ISBN 10

0486134911

ISBN 13

9780486134918

Modern Real and Complex Analysis

By: Bernard R. Gelbaum

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Modern Real and Complex Analysis

By: Bernard R. Gelbaum

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Solve jigsaw puzzle

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Page Count

506

Publisher

John Wiley & Sons

Published Date

ISBN 10

111803080X

ISBN 13

9781118030806

Problems in Real and Complex Analysis

By: Bernard R. Gelbaum

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Problems in Real and Complex Analysis

By: Bernard R. Gelbaum

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N/A

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Solve jigsaw puzzle

Age

Page Count

490

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461209250

ISBN 13

9781461209256

Book's by Bernard R. Gelbaum

Modern Real and Complex Analysis

Modern Real and Complex Analysis

Problems in Real and Complex Analysis

Problems in Real and Complex Analysis

Theorems and Counterexamples in Mathematics

Theorems and Counterexamples in Mathematics

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

Counterexamples in Analysis

Counterexamples in Analysis

Modern Real and Complex Analysis

Modern Real and Complex Analysis

Problems in Real and Complex Analysis

Problems in Real and Complex Analysis

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