The Garden of Curves

Published at KDP Amazon.com

1) In one volume ASIN : B0D7RJLVLN .

 2) In two volumes :

Volume 1 ASIN : B0D83WKXJ9 ;

Volume 2 ASIN : B0D6FGH9F5 . 

Volume 1  ISBN 9798329411379 ; ASIN : B0D846TZY6  ;

Volume 2  ISBN 9798329411652 ; ASIN : B0D844XM1H . 

Tome 1 ISBN 9798329424867  ;  ASIN : B0D86CSHX6 ;

Tome 2  ISBN 9798329425710  ; ASIN : B0D86C33C8 . 

Summary

First Part

Introduction ................................................................................................................................................................................................................... 3

Chapter 1.

Algebra and analysis reminders ........................................................................... ..................................................................................................7

Chapter 2.

Affine spaces ................................................................................................ ...............................................................................................................15

Chapter 3.

Plane curves defined parametrically in Cartesian coordinates. .................... .........................................................................................27

Chapter 4.

Plane curves defined parametrically in polar coordinates ............................ ............................................................................................37

Chapter 5.

Plane curves defined implicitly in Cartesian coordinates

in Cartesian coordinates ............................................................................... .........................................................................................................45

Chapter 6.

Length of a curve arc. Curvilinear abscissa. Curvature .............................. ................................................................................................53

Chapter 7.

Plane curves defined in barycentric coordinates ......................................................................................................................................... 67

Second Part

Dictionary ..................................................................................................................................................................................................................... 73

Third Part

Gallery of curves… .................................................................................................................................................................................................. 827

Afterword. ........................................................................................................... ......................................................................................................955

Lexicon ................................................................................................................ ........................................................................................................957

Bibliographical and sitographical references. ............................................................................................................................................. 961

Index of proper names .......................................................................................................................................................................................... 965

Terminological index. ............................................................................................................................................................................................. 973