**Synthetic Differential Geometry**

by Anders Kock

**Publisher**: Cambridge University Press 2006**ISBN/ASIN**: 0521687381**ISBN-13**: 9780521687386**Number of pages**: 241

**Description**:

Synthetic Differential Geometry is a method of reasoning in differential geometry and calculus, where use of nilpotent elements allows the replacement of the limit processes of calculus by purely algebraic notions. In this second edition of Kock's classical text, many notes have been included commenting on new developments.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Functional Differential Geometry**

by

**Gerald Jay Sussman, Jack Wisdom**-

**MIT**

Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.

(

**11880**views)

**The Convenient Setting of Global Analysis**

by

**Andreas Kriegl, Peter W. Michor**-

**American Mathematical Society**

This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory.

(

**13896**views)

**Lectures on Exterior Differential Systems**

by

**M. Kuranishi**-

**Tata Institute of Fundamental Research**

Contents: Parametrization of sets of integral submanifolds (Regular linear maps, Germs of submanifolds of a manifold); Exterior differential systems (Differential systems with independent variables); Prolongation of Exterior Differential Systems.

(

**12326**views)

**Projective Differential Geometry Old and New**

by

**V. Ovsienko, S. Tabachnikov**-

**Cambridge University Press**

This book provides a route for graduate students and researchers to contemplate the frontiers of contemporary research in projective geometry. The authors include exercises and historical comments relating the basic ideas to a broader context.

(

**17923**views)