Analysis with Mathematica®
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Galina Filipuk
About this book
A computer algebra system such as Mathematica® is able to do much more than just numerics: This revised 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.
- Intertwines knowledge of analysis and Mathematica.
- Students learn how to solve mathematical problems with a computer algebra system.
- Contains a vast collection of examples and exercises.
Author / Editor information
Dr. hab. Galina Filipuk,
University of Warsaw (current),
Polish Academy of Sciences,
Loughborough University,
Belarusian State University.
Fellowships:
Humboldt Research Fellowship
for Experienced Researchers at
TU Dresden and KU Eichstaett-
Ingolstadt (Germany); Japan
Society for the Promotion
of Sciences Fellowship at Kumamoto University.
Dr. Andrzej Kozłowksi, University of Warsaw (current), Wayne State University, Toyama University of International Studies, Chiba Denki University, Japan Society for the Promotion of Science/Royal Society Post-Doctoral Fellow at Tsukuba University. Visiting
positions: Tokyo Institute of
Technology. Consultant to
Wolfram Research.
Topics
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Frontmatter
I -
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Contents
V -
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Preface
IX -
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1 Number systems
1 -
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2 Recursive sequences, discrete dynamical systems and their limits
55 -
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3 Series
74 -
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4 Limits of functions and continuity
109 -
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5 Differentiation
136 -
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6 Sequences and series of functions
177 -
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7 Integration
215 -
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8 LLMs with Mathematica
245 -
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Bibliography
-
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Index
271
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
