<p>This book is devoted to applications: differential equations, elements of special functions and differential geometry of curves and surfaces with a specific focus on visualization in Mathematica®. Discusses how Mathematica® can be used as an aid in solving mathematical problems and discovering a
Differential Geometry, Differential Equations, and Special Functions
✍ Scribed by Galina Filipuk, Andrzej Kozłowski
- Publisher
- De Gruyter
- Year
- 2022
- Tongue
- English
- Leaves
- 274
- Series
- De Gruyter Textbook
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
This volume, the third of a series, consists of applications of Mathematica® to a potpourri of more advanced topics. These include differential geometry of curves and surfaces, differential equations and special functions and complex analysis. Some of the newest features of Mathematica® are demonstrated and explained and some problems with the current implementation pointed out and possible future improvements suggested.
- Contains a large number of worked out examples.
- Explains some of the most recent mathematical features of Mathematica®.
- Considers topics discussed rarely or not at all in the context of Mathematica®.
- Can be used to supplement several different courses.
- Based on actual university courses.
✦ Table of Contents
Preface
Contents
1 Graphics in Mathematica®
2 Regions in Mathematica®
3 Differential equations
4 Differential geometry of curves and surfaces in Mathematica®
5 Elements of the theory of special functions
6 Elliptic functions
7 Elements of complex analysis
Bibliography
Index
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