Logo

Synthetic Geometry of Manifolds

Small book cover: Synthetic Geometry of Manifolds

Synthetic Geometry of Manifolds
by

Publisher: University of Aarhus
Number of pages: 314

Description:
This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geometry.

Download or read it online for free here:
Download link
(1.9MB, PDF)

Similar books

Book cover: Introduction to Homological GeometryIntroduction to Homological Geometry
by - arXiv
This is an introduction to some of the analytic aspects of quantum cohomology. The small quantum cohomology algebra, regarded as an example of a Frobenius manifold, is described without going into the technicalities of a rigorous definition.
(4576 views)
Book cover: Notes on the Atiyah-Singer Index TheoremNotes on the Atiyah-Singer Index Theorem
by - University of Notre Dame
This is arguably one of the deepest and most beautiful results in modern geometry, and it is surely a must know for any geometer / topologist. It has to do with elliptic partial differential operators on a compact manifold.
(4769 views)
Book cover: A Geometric Approach to Differential FormsA Geometric Approach to Differential Forms
by - arXiv
This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.
(8321 views)
Book cover: Functional Differential GeometryFunctional Differential Geometry
by - 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.
(5911 views)