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25 Remote Warehouse Mathematics- Analysis General

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

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

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

From the reviews:'Spread out over 11 chapters, this is a collection of 319 problems in what used to be called Advanced Calculus. ' The authors see their book primarily as an aid to undergraduates ' but I view it as being helpful to teachers in supplementing their courses or in preparing exams. ' However, kept on a course reserve shelf of an academic library, the book under review might entice and benefit the more dedicated student. It certainly merits the attention of instructors of elementary analysis.' (Henry Ricardo, The Mathematical Association of America, June, 2010)

Table of Contents

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.

Product Details

ISBN:
9781441912954
Author:
Aksoy, Asuman G.
Publisher:
Springer
Author:
Khamsi, Mohamed
Author:
Khamsi, Mohamed A.
Subject:
Mathematical Analysis
Subject:
Cauchy criterion series
Subject:
Picard s iteration scheme
Subject:
Riemann sum
Subject:
Rolle s theorem
Subject:
Taylor s theorem
Subject:
Tchebycheff polynomials
Subject:
alternating series test
Subject:
bounded function
Subject:
elementary logic
Subject:
fundamentals topology
Subject:
improper integral
Subject:
intermediate value theorem
Subject:
limits functions
Subject:
lower sum
Subject:
mean value theorem
Subject:
Metric spaces
Subject:
Real Numbers
Subject:
sequences functions
Subject:
series converge
Subject:
series functions
Subject:
Set Theory
Subject:
upper sum
Subject:
Analysis
Subject:
Mathematics-Analysis General
Copyright:
Edition Description:
2010
Series:
Problem Books in Mathematics
Publication Date:
20091217
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
264
Dimensions:
10.10x7.00x.80 in. 1.40 lbs.

Related Subjects


Science and Mathematics » Mathematics » Analysis General

A Problem Book in Real Analysis (Problem Books in Mathematics) New Hardcover
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$67.25 In Stock
Product details 264 pages Springer - English 9781441912954 Reviews:
"Synopsis" by , 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.
"Synopsis" by , From the reviews:'Spread out over 11 chapters, this is a collection of 319 problems in what used to be called Advanced Calculus. ' The authors see their book primarily as an aid to undergraduates ' but I view it as being helpful to teachers in supplementing their courses or in preparing exams. ' However, kept on a course reserve shelf of an academic library, the book under review might entice and benefit the more dedicated student. It certainly merits the attention of instructors of elementary analysis.' (Henry Ricardo, The Mathematical Association of America, June, 2010)
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