Closer and Closer: Introducing Real Analysis

Name: Closer and Closer: Introducing Real Analysis
Availability: InStock
ISBN: 9780763735937

ISBN-10: 0763735930

ISBN-13: 9780763735937

Edition: 2008

Authors: Carol S. Schumacher

List price: $149.95

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Description:

Closer and Closer: Introducing Real Analysisis the ideal first introduction to real analysis for upper-level undergraduate Math majors. The text is divided into two main parts; the core material of the subjectis covered in Chapters 1-13, and a series of cases, examples, applications, and projects, collectively called Excursionsform the second half of the book. These Excursions are designed to bring the concepts of real analysis to light and to allow students to work through numerous interesting problems with ease.

Book details

List price: $149.95
Copyright year: 2008
Publisher: Jones & Bartlett Learning, LLC
Publication date: 7/16/2007
Binding: Paperback
Pages: 438
Size: 7.50" wide x 9.00" long x 1.25" tall
Weight: 2.046
Language: English



Basic building blocks



The real numbers



Measuring distances



Sets and limits



Continuity



Real-valued functions



Completeness



Compactness



Connectedness



Differentiation of functions of one real variable



Iteration and the contraction mapping theorem



The riemann integral



Sequences of functions



Differentiating f : R[superscript n] [approaches] R[superscript m]



Truth and provability



Number properties



Exponents



Sequences in R and R[superscript n]



Limits of functions from R to R



Doubly indexed sequences



Subsequences and convergence



Series of real numbers



Probing the definition of the riemann integral



Power series



Everywhere continuous, nowhere differentiable



Newton's method



The implicit function theorem



Spaces of continuous 'functions



Solutions to differential equations