<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
Analysis with Mathematica®: Volume 2: Multi-variable Calculus
✍ Scribed by Galina Filipuk, Andrzej Kozłowski
- Publisher
- De Gruyter
- Year
- 2021
- Tongue
- English
- Leaves
- 162
- Series
- De Gruyter Textbook
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
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.
✦ Table of Contents
Contents
Preface
1. Continuity of functions and mappings
2. Differentiation of functions of many variables
3. Higher order derivatives and the Taylor series
4. Elements of topology and Morse theory
5. The Riemann integral of a function of n variables
6. Stokes’ theorem
Bibliography
Index
📜 SIMILAR VOLUMES
<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
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 h
<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
<span>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.<