Geometry, Topology and Physics
by Maximilian Kreuzer
Publisher: Technische Universitat Wien 2010
Number of pages: 69
From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.
Home page url
Download or read it online for free here:
Download link 1
Download link 2
(multiple PDF files)
by L. Henkin, P. Suppes, A. Tarski - North Holland Publishing Company
The volume naturally divides into three parts. Part I consists of 14 papers on the foundations of geometry, Part II of 14 papers on the foundations of physics, and Part III of five papers on general problems and applications of the axiomatic method.
by Christopher Pope - Texas A&M University
Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.
by Robert J. Lang
Origami is the art of folding sheets of paper into interesting and beautiful shapes. In this text the author presents a variety of techniques for origami geometric constructions. The field has surprising connections to other branches of mathematics.
by S. E. Payne - University of Colorado Denver
The present book grew out of notes written for a course by the same name taught by the author during in 2005. Only some basic abstract algebra, linear algebra, and mathematical maturity are the prerequisites for reading this book.