Problems in real and complex analysis
โ Gelbaum, Bernard R
๐ Library
๐
2012
๐ Springer
๐ English
โฆ LIBER โฆ
๐
Problems in Real and Complex Analysis
โ Scribed by Bernard R. Gelbaum
- Publisher
- Springer-Verlag
- Year
- 1992
- Tongue
- English
- Leaves
- 498
- Series
- Problem books in mathematics
- Edition
- 1
- Category
- Library
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โฆ Synopsis
This book builds upon the earlier volume Problems in Analysis, more than doubling it with a new section of problems on complex analysis. The problems on real analysis from the earlier book have all been checked, and stylistic, typographical, and mathematical errors have been corrected. The problems in complex analysis cover most of the principal topics in the theory of functions of a complex variable. The problems in the book cover, in real analysis: set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces; in complex analysis: 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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Problems in real and complex analysis
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๐
1992
๐ Springer-Verlag
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โ Yeh, James J
๐ Library
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๐ English
Intro; Contents; Preface; ร1 Measure on a a-algebra of Sets; ร2 Outer Measures; ร3 Lebesgue Measure on R; ร4 Measurable Functions; ร5 Completion of Measure Space; ร6 Convergence a.e. and Convergence in Measure; ร7 Integration of Bounded Functions on Sets of Finite Measure; ร8 Integration of Nonnegat