**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.

(

**7592**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.

(

**9593**views)

**Principles of Differential Geometry**

by

**Taha Sochi**-

**viXra**

A collection of notes about differential geometry prepared as part of tutorials about topics and applications related to tensor calculus. They can be used as a reference for a first course on the subject or as part of a course on tensor calculus.

(

**2330**views)

**An introductory course in differential geometry and the Atiyah-Singer index theorem**

by

**Paul Loya**-

**Binghamton University**

This is a lecture-based class on the Atiyah-Singer index theorem, proved in the 60's by Sir Michael Atiyah and Isadore Singer. Their work on this theorem lead to a joint Abel prize in 2004. Requirements: Knowledge of topology and manifolds.

(

**7451**views)