A Problem Book in Real Analysis (Problem Books in Mathematics)

Aksoy, Asuman G.,Khamsi, Mohamed A.

ISBN 10: 1441912959 / ISBN 13: 9781441912954

Verlag: Springer, 2009

Beschreibung

Hardback. No dust jacket. Cover edges and corners in good shape. Spine is tight. Pages are clean but there some penciled notes thru book as it is a text book, also there is a return address sticker inside front cover. The title is written in pencil on the bottom pages. Ships from Friends bookstore to benefit Beaverton (Oregon) library.

Bestandsnummer des Verkäufers mon0000068421

Bibliografische Details

• Titel: A Problem Book in Real Analysis (Problem Books in Mathematics)
• Verlag: Springer
• Erscheinungsjahr: 2009
• Sprache: Englisch
• ISBN-10: 1441912959
• ISBN-13: 9781441912954
• Einband: hardcover
• Zustand: Good

Über diesen Titel

Inhaltsangabe

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.

Von der hinteren Coverseite

<p>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 <em>A Problem Book in Real Analysis</em> is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, the authors hope that learning analysis becomes less taxing and more satisfying.</p><p>The wide variety of exercises presented in this book range from the computational to the more conceptual and varies in difficulty. They cover the following subjects: set theory; real numbers; sequences; limits of the functions; continuity; differentiability; integration; series; metric spaces; sequences; and series of functions and fundamentals of topology. Furthermore, the authors define the concepts and cite the theorems used at the beginning of each chapter. <em>A Problem Book in Real Analysis</em> is not simply a collection of problems; it&nbsp;will stimulate its readers to independent thinking in discovering analysis.</p><p>Prerequisites for the reader are a robust understanding of calculus and linear algebra.</p>