Problems and Theorems in Analysis I : Series. Integral Calculus. Theory of Functions /
From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathem...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg,
1972.
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| Series: | Classics in mathematics ;
193. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Infinite Series and Infinite Sequences
- Operations with Power Series
- Linear Transformations of Series. A Theorem of Cesàro
- The Structure of Real Sequences and Series
- Miscellaneous Problems
- Integration
- The Integral as the Limit of a Sum of Rectangles
- Inequalities
- Some Properties of Real Functions
- Various Types of Equidistribution
- Functions of Large Numbers
- Functions of One Complex Variable. General Part
- Complex Numbers and Number Sequences
- Mappings and Vector Fields
- Some Geometrical Aspects of Complex Variables
- Cauchy's Theorem. The Argument Principle
- Sequences of Analytic Functions
- The Maximum Principle.