**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

**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.

(

**7090**views)

**An Introduction to Gaussian Geometry**

by

**Sigmundur Gudmundsson**-

**Lund University**

These notes introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra and real analysis.

(

**7222**views)

**Probability, Geometry and Integrable Systems**

by

**Mark Pinsky, Bjorn Birnir**-

**Cambridge University Press**

The three main themes of this book are probability theory, differential geometry, and the theory of integrable systems. The papers included here demonstrate a wide variety of techniques that have been developed to solve various mathematical problems.

(

**10419**views)

**Ricci-Hamilton Flow on Surfaces**

by

**Li Ma**-

**Tsinghua University**

Contents: Ricci-Hamilton flow on surfaces; Bartz-Struwe-Ye estimate; Hamilton's another proof on S2; Perelman's W-functional and its applications; Ricci-Hamilton flow on Riemannian manifolds; Maximum principles; Curve shortening flow on manifolds.

(

**5421**views)