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Problems And Solutions In Real Analysis By Masayoshi Hata (Kyoto Univ, Japan)

Problems And Solutions In Real Analysis by Masayoshi Hata (Kyoto Univ, Japan)

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Summary

Provides a collection of more than 200 mathematical problems and their solutions, which contain useful tips and skills in real analysis. This book is suitable for 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.

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Problems And Solutions In Real Analysis Summary

Problems And Solutions In Real Analysis by Masayoshi Hata (Kyoto Univ, Japan)

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.

Table of Contents

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.

Additional information

NLS9789812779496
9789812779496
9812779493
Problems And Solutions In Real Analysis by Masayoshi Hata (Kyoto Univ, Japan)
New
Paperback
World Scientific Publishing Co Pte Ltd
2007-11-20
304
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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