Closer and Closer Introducing Real Analysis
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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.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $149.95
Copyright year: 2008
Publisher: Jones & Bartlett Learning, LLC
Publication date: 7/16/2007
Size: 7.50" wide x 9.00" long x 1.25" tall
|Basic building blocks|
|The real numbers|
|Sets and limits|
|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|
|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|
|Everywhere continuous, nowhere differentiable|
|The implicit function theorem|
|Spaces of continuous 'functions|
|Solutions to differential equations|