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Analysis With Mathematica Volume 1: Single Variable Calculus

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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(s): Galina Filipuk, Andrzej Kozłowski
Publisher: De Gruyter
Year: 2019

Language: English
Pages: 208

Cover......Page 1
Analysis with Mathematica®, Volume 1: Single Variable Calculus
......Page 5
© 2019......Page 6
Contents......Page 7
Preface......Page 11
1 Number systems......Page 17
2 Recursive sequences, discrete dynamical systems
and their limits......Page 49
3 Series......Page 63
4 Limits of functions and continuity......Page 91
5 Differentiation......Page 111
6 Sequences and series of functions......Page 141
7 Integration......Page 175
Bibliography......Page 203
Index......Page 205