This book is partially based on three courses at the University of Warsaw (the undergraduate course Curves and Surfaces with Mathematica® and the graduate courses Introduction to elliptic functions and Ordinary differential equations: methods and applications). In this book we explain in detail a new feature of Mathematica®, the builtin database Entity on examples of plane and space curves and surfaces. We use and explain a lot of new recently built-in functions, for instance, Region, and so on. To give a lot of insight into differential geometry, we extensively make use of Manipulate to create informative interactive graphics.
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