Mathematical analysis fundamentals
著者
書誌事項
Mathematical analysis fundamentals
（Elsevier insights）
Elsevier, 2014
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注記
Includes bibliographical references (p. [347]-348) and index
内容説明・目次
内容説明
The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options.
目次
1. Sets and Proofs 2. Numbers 3. Convergence 4. Point Set Topology 5. Continuity 6. The Space 7. Differentiation8. Bounded Variation 9. Reimann Integration10. Generalizations of Reimann Integration 11. Transcendental Functions 12. Fourier Series and Integers
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