The Axiomatic Method
by L. Henkin, P. Suppes, A. Tarski
Publisher: North Holland Publishing Company 1959
Number of pages: 508
The thirty-three papers in this volume constitute the proceedings of an international symposium on The axiomatic method, with special reference to geometry and physics. The volume naturally divides into three parts. Part I consists of fourteen papers on the foundations of geometry, Part II of fourteen papers on the foundations of physics, and Part III of five papers on general problems and applications of the axiomatic method.
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by John O'Connor - University of St Andrews
Contents: Foundations; Linear groups; Isometries of Rn; Isometries of the line; Isometries of the plane; Isometries in 3 dimensions; Symmetry groups in the plane; Platonic solids; Finite symmetry groups of R3; Full finite symmetry groups in R3; etc.
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 Keith Ball, Vitali Milman - Cambridge University Press
Convex bodies are at once simple and amazingly rich in structure. This collection involves researchers in classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis.
by Michael Frame, Benoit Mandelbrot, Nial Neger - Yale University
This is an introduction to fractal geometry for students without especially strong mathematical preparation, or any particular interest in science. Each of the topics contains examples of fractals in the arts, humanities, or social sciences.