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Catalogue Information
Field name	Details
Dewey Class	515
Title	A Problem Book in Real Analysis ([Ebook]) / by Asuman G. Aksoy, Mohamed A. Khamsi.
Author	Aksoy, Asuman G.
Added Personal Name	Khamsi, Mohamed A.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2010.
Physical Details	X, 254 p. 17 illus., 8 illus. in color. : online resource.
Series	Problem books in mathematics 0941-3502
ISBN	9781441912961
Summary Note	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 A Problem Book in Real Analysis 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. 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. A Problem Book in Real Analysis is not simply a collection of problems; it will stimulate its readers to independent thinking in discovering analysis. Prerequisites for the reader are a robust understanding of calculus and linear algebra.:
Contents note	Preface -- 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 -- Index -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-1296-1
Links to Related Works	Subject References: Analysis . Global analysis (Mathematics) . Mathematics . Authors: Aksoy, Asuman G. . author . Khamsi, Mohamed A. . Corporate Authors: SpringerLink (Online service) . Series: Problem books in mathematics . Classification: 515 . 515 (DDC 23) .

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A Problem Book in Real Analysis

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