Problems and solutions in real analysis
著者
書誌事項
Problems and solutions in real analysis
（Series on number theory and its applications / series editor, Shigeru Kanemitsu, v. 4）
World Scientific, c2007
- : pbk
大学図書館所蔵 全20件
注記
Includes bibliographical references and index
内容説明・目次
内容説明
This unique book provides a collection of more than 200 mathematical problems and their detailed solutions, which contain very useful tips and skills in real analysis. Each chapter has an introduction, in which some fundamental definitions and propositions are prepared. This also contains many brief historical comments on some significant mathematical results in real analysis together with useful references.Problems and Solutions in Real Analysis may be used as advanced exercises by undergraduate students during or after courses in calculus and linear algebra. It is also useful for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the prime number theorem through several exercises. The book is also suitable for non-experts who wish to understand mathematical analysis.
目次
- Sequences and Limits
- Infinite Series
- Continuous Functions
- Differentiation
- Integration
- Improper Integrals
- Series of Functions
- Approximation by Polynomials
- Convex Functions
- Various Proof (2) = 2 / 6
- Functions of Several Variables
- Uniform Distribution
- Rademacher Functions
- Legendre Polynomials
- Chebyshev Polynomials
- Gamma Function
- Prime Number Theorem.
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