<p>The book will deal with functions of many variables: differentiation and integration, extrema with a number of digressions to related subjects such as differential equations and differential geometry of curves and surfaces. The background needed for understanding the examples and how to compute i
Analysis With Mathematica Volume 1: Single Variable Calculus
✍ Scribed by Galina Filipuk, Andrzej Kozłowski
- Publisher
- De Gruyter
- Year
- 2019
- Tongue
- English
- Leaves
- 208
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
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.
✦ Table of Contents
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
📜 SIMILAR VOLUMES
<p>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 unloc
<p>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 unloc
The book deals with functions of many variables: differentiation and integration, extrema with a number of digressions to related subjects such as curves, surfaces and Morse theory. The background needed for understanding the examples and how to compute in Mathematica® will also be discussed.
<p>The book deals with functions of many variables: differentiation and integration, extrema with a number of digressions to related subjects such as curves, surfaces and Morse theory. The background needed for understanding the examples and how to compute in Mathematica® will also be discussed. </p
<p>The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It ai