Analysis with Mathematica (R): Volume 1: Single Variable Calculus

A computer algebra system such as Mathematica is able to do much more than just numerics: This text shows how to tackle real mathematical problems from basic analysis. The reader learns how Mathematica represents domains, qualifiers and limits to implement actual proofs - a requirement to unlock the huge potential of Mathematica for a variety of applications.

Author Biography: Galina Filipuk and Andrzej Kozlowski, University of Warsaw, Poland.

Frontmatter
Pages I-IV

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Contents
Pages V-VIII

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Preface
Pages IX-XIV

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1. Number systems
Pages 1-32

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2. Recursive sequences, discrete dynamical systems and their limits
Pages 33-46

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3. Series
Pages 47-74

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4. Limits of functions and continuity
Pages 75-94

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5. Differentiation
Pages 95-124

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6. Sequences and series of functions
Pages 125-158

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7. Integration
Pages 159-186

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Bibliography
Pages 187-188

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Index
Pages 189-192