An introduction to mathematical analysis
著者
書誌事項
An introduction to mathematical analysis
（International series in pure and applied mathematics）
McGraw-Hill, c1993
2nd ed., McGraw-Hill international editions
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注記
Includes bibliographical references (p. 508-509) and indexes
内容説明・目次
内容説明
Designed for an introductory course in analysis or advanced calculus at undergraduate level, this text introduces students to the analysis of functions of a real variable. It provides them with solid training in mathematical thinking and writing and their first real application of the nature and role of mathematical proof. While preserving the presentation of an elementary text, it offers comprehensive coverage of one-variable real analysis. In this edition, a new chapter on sets, functions and countability provides a theoretical background for the rest of the text. There is also a wide selection of exercises with solutions and hints for some at the back of the book.
目次
- An introduction to mathematical grammar
- the completeness of the real number system
- sets, functions and countability
- elementary topology of the real line
- limits of sequences
- limits and continuity of functions
- differentiation
- infinite series
- the Riemann integral
- sequences and series of functions
- further topuics in integration
- sets of measure zero.
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