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.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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improper integrals, termwise integration Key Phrases - Capitalized Phrases (CAPs): (learn more)
Real Analysis, Series of Functions, Legendre Polynomials, Infinite Series, Chebyshev Polynomials, Functions of Several Variables, Convex Functions, Rademacher Functions, Prime Number Theorem Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
improper integrals, termwise integration Key Phrases - Capitalized Phrases (CAPs): (learn more)
Real Analysis, Series of Functions, Legendre Polynomials, Infinite Series, Chebyshev Polynomials, Functions of Several Variables, Convex Functions, Rademacher Functions, Prime Number Theorem Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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