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This book systematically solves the problems related to the core concepts of most analysis courses. The wide variety of exercises presented in this ...Show synopsisThis book systematically solves the problems related to the core concepts of most analysis courses. The wide variety of exercises presented in this book range from the computational to the more conceptual and vary in difficulty.Hide synopsis

A Problem Book in Real Analysis (Springer) – Hardcover (2009)
by
Asuman G Aksoy, Mohamed A Khamsi

Hardcover, Springer 2009
English
254 pages

ISBN: 1441912959 ISBN-13: 9781441912954

Education is an admirable thing, but it is well to remember from time to time that nothing worth knowing can be taught. Oscar Wilde, "The Critic as Artist," 1890. Analysis is a profound subject; it is neither easy to understand nor summarize. However, Real Analysis can be discovered by solving problems. This book aims to give independent students the opportunity to discover Real Analysis by themselves through problem solving. ThedepthandcomplexityofthetheoryofAnalysiscanbeappreciatedbytakingaglimpseatits developmental ...Show moreEducation is an admirable thing, but it is well to remember from time to time that nothing worth knowing can be taught. Oscar Wilde, "The Critic as Artist," 1890. Analysis is a profound subject; it is neither easy to understand nor summarize. However, Real Analysis can be discovered by solving problems. This book aims to give independent students the opportunity to discover Real Analysis by themselves through problem solving. ThedepthandcomplexityofthetheoryofAnalysiscanbeappreciatedbytakingaglimpseatits developmental history. Although Analysis was conceived in the 17th century during the Scienti?c Revolution, it has taken nearly two hundred years to establish its theoretical basis. Kepler, Galileo, Descartes, Fermat, Newton and Leibniz were among those who contributed to its genesis. Deep conceptual changes in Analysis were brought about in the 19th century by Cauchy and Weierstrass. Furthermore, modern concepts such as open and closed sets were introduced in the 1900s. Today nearly every undergraduate mathematics program requires at least one semester of Real Analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of this book is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, we hope that learning analysis becomes less taxing and thereby more satisfying.Hide

Description:New. This book systematically solves the problems related to...New. This book systematically solves the problems related to the core concepts of most analysis courses. The wide variety of exercises presented in this book range from the computational to the more conceptual and vary in difficulty.

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Description:New. Glued binding. Paper over boards. 254 p. Contains:...New. Glued binding. Paper over boards. 254 p. Contains: Illustrations, black & white, Illustrations, color, Figures. Problem Books in Mathematics.

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Description:New. Glued binding. Paper over boards. 254 p. Contains:...New. Glued binding. Paper over boards. 254 p. Contains: Illustrations, black & white, Illustrations, color, Figures. Problem Books in Mathematics.