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A Problem Book in Real Analysis
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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
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Global analysis (Mathematics)
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Mathematics
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Authors:
Aksoy, Asuman G.
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author
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Khamsi, Mohamed A.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Problem books in mathematics
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Classification:
515
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515 (DDC 23)
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