**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

**Natural Operations in Differential Geometry**

by

**Ivan Kolar, Peter W. Michor, Jan Slovak**-

**Springer**

A comprehensive textbook on all basic structures from the theory of jets. It begins with an introduction to differential geometry. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces.

(

**16325**views)

**Exterior Differential Systems and Euler-Lagrange Partial Differential Equations**

by

**R. Bryant, P. Griffiths, D. Grossman**-

**University Of Chicago Press**

The authors present the results of their development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems.

(

**17529**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.

(

**9520**views)

**Global Theory Of Minimal Surfaces**

by

**David Hoffman**-

**American Mathematical Society**

The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, Lagrangian geometry, and more.

(

**10883**views)