Real Mathematical Analysis
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Description: In this introduction to undergraduate real analysis the author stresses the importance of pictures in mathematics and hard problems.
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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: $69.95
Copyright year: 2002
Publication date: 11/14/2003
Size: 6.50" wide x 9.75" long x 1.25" tall
|The Skeleton of Calculus|
|A Taste of Topology|
|Metric Space Concepts|
|Cantor Set Lore|
|Functions of a Real Variable|
|Uniform Convergence and C[superscript 0 a,b]|
|Compactness and Equicontinuity in C[superscript 0]|
|Uniform Approximation in C[superscript 0]|
|Contractions and ODE's|
|Nowhere Differentiable Continuous Functions|
|Spaces of Unbounded Functions|
|Implicit and Inverse Functions|
|The Rank Theorem|
|The General Stokes' Formula|
|The Brouwer Fixed Point Theorem|
|Perorations of Dieudonne|
|The History of Cavalieri's Principle|
|A Short Excursion into the Complex Field|
|Lebesgue integrals as limits|
|Italian Measure Theory|
|Vitali coverings and density points|
|Lebesgue's Fundamental Theorem of Calculus|
|Lebesgue's Last Theorem|
|Translations and Nonmeasurable sets|
|The Banach-Tarski Paradox|
|Riemann integrals as undergraphs|
|Littlewood's Three Principles|