Differential Geometry, Differential Equations, and Special Functions

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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.

Author(s): Galina Filipuk, Andrzej Kozłowski
Series: De Gruyter Textbook
Publisher: De Gruyter
Year: 2022

Language: English
Pages: 274
City: Berlin

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