A Problem Book in Real Analysis | Buch

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Cover: 9781441912954 | A Problem Book in Real Analysis | Mohamed A. Khamsi (u. a.) | Buch

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Sprache: Englisch

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Beschreibung

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 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.

Zusammenfassung

Helps instructors enhance lectures with problems beyond the classroom

Helps prepare students for examinations

Text encourages students to find different solutions to problems than those presented

Includes supplementary material: [...]

Inhaltsverzeichnis

Elementary Logic and Set Theory.- Real Numbers.- Sequences.- Limits of Functions.- Continuity.- Differentiability.- Integration.- Series.- Metric Spaces.- Fundamentals of Topology.- Sequences and Series of Functions.

Erscheinungsjahr:	2009
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	264
Reihe:	Problem Books in Mathematics
Inhalt:	x 254 S. 10 s/w Illustr. 2 farbige Illustr. 4 s/w Zeichng.
ISBN-13:	9781441912954
ISBN-10:	1441912959
Sprache:	Englisch
Herstellernummer:	12689934
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Khamsi, Mohamed A. Aksoy, Asuman G.
Auflage:	2010
Hersteller:	Springer US Springer New York Problem Books in Mathematics
Maße:	260 x 183 x 21 mm
Von/Mit:	Mohamed A. Khamsi (u. a.)
Erscheinungsdatum:	17.12.2009
Gewicht:	0,76 kg

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