subcategories
Algebraic Geometry (55)
Analytic Geometry (12)
Differential Geometry (41)
Elementary Geometry (11)
Euclidean Geometry (32)
Non-Euclidean Geometries (10)
Noncommutative Geometry (10)
Topology (12)
see also
Geometry & Physics (16)
e-books in Geometry & Topology category
Finite Euclidean and Non-Euclidean Geometriesby Rene De Vogelaere - arXiv , 2019
The purpose of this book is to give an exposition of geometry, from a point of view which complements Klein's Erlangen program. The emphasis is on extending the classical Euclidean geometry to the finite case, but it goes beyond that.
(1533 views)
Geometry and the Imaginationby Conway, Doyle, Thurston - Rutgers University, Newark , 2018
These are notes from an experimental mathematics course entitled Geometry and the Imagination as developed by Conway, Doyle, Thurston and others. The course aims to convey the richness, diversity, connectedness, depth and pleasure of mathematics.
(6332 views)
The Fourth Dimensionby Charles Howard Hinton - S. Sonnenschein & Co. , 1906
C. H. Hinton discusses the subject of the higher dimensionality of space, his aim being to avoid mathematical subtleties and technicalities, and thus enable his argument to be followed by readers who are not sufficiently conversant with mathematics.
(6056 views)
Euclidean Plane and Its Relativesby Anton Petrunin , 2017
This book is meant to be rigorous, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. It covers Euclidean geometry, Inversive geometry, Non-Euclidean geometry and Additional topics.
(7296 views)
The Axioms Of Descriptive Geometryby Alfred North Whitehead - Cambridge University Press , 1914
In this book, after the statement of the axioms, the ideas considered are those concerning the association of Projective and Descriptive Geometry by means of ideal points, point to point correspondence, congruence, distance, and metrical geometry.
(9248 views)
The Axiomatic Methodby L. Henkin, P. Suppes, A. Tarski - North Holland Publishing Company , 1959
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.
(10330 views)
Modern Geometryby Robert Sharpley - University of South Carolina , 2008
This course is a study of modern geometry as a logical system based upon postulates and undefined terms. Projective geometry, theorems of Desargues and Pappus, transformation theory, affine geometry, Euclidean, non-Euclidean geometries, topology.
(14920 views)
An Introduction to Geometryby Wong Yan Loi - National University of Singapore , 2021
Contents: A Brief History of Greek Mathematics; Basic Results in Book I of the Elements; Triangles; Quadrilaterals; Concurrence; Collinearity; Circles; Using Coordinates; Inversive Geometry; Models and Basic Results of Hyperbolic Geometry.
(14792 views)
Quadratic Forms and Their Applicationsby Andrew Ranicki, et al. - American Mathematical Society , 2000
This volume includes papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed.
(13003 views)
Tilings and Patternsby E O Harriss - Mathematicians.org.uk , 2008
Contents: Background Material (Euclidean Space, Delone Sets, Z-modules and lattices); Tilings of the plane (Periodic, Aperiodic, Penrose Tilings, Substitution Rules and Tiling, Matching Rules); Symbolic and Geometric tilings of the line.
(12275 views)
Topics in Geometryby John O'Connor - University of St Andrews , 2003
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.
(13371 views)
Geometry, Topology and Physicsby Maximilian Kreuzer - Technische Universitat Wien , 2010
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.
(18250 views)
Geometry and Group Theoryby Christopher Pope - Texas A&M University , 2008
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.
(20548 views)
Origami and Geometric Constructionsby Robert J. Lang , 2003
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.
(14127 views)
An Elementary Course in Synthetic Projective Geometryby Derrick Norman Lehmer - Project Gutenberg , 2005
The book gives, in a simple way, the essentials of synthetic projective geometry. Enough examples have been provided to give the student a clear grasp of the theory. The student should have a thorough grounding in ordinary elementary geometry.
(13044 views)
Categorical Geometryby Zhaohua Luo , 1998
This is a book on the general theory of analytic categories. From the table of contents: Introduction; Analytic Categories; Analytic Topologies; Analytic Geometries; Coherent Analytic Categories; Coherent Analytic Geometries; and more.
(14907 views)
Convex Geometric Analysisby Keith Ball, Vitali Milman - Cambridge University Press , 1998
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.
(13241 views)
The Radon Transformby Sigurdur Helgason - Birkhauser Boston , 1999
The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications.
(14453 views)
Combinatorial and Computational Geometryby J. E. Goodman, J. Pach, E. Welzl - Cambridge University Press , 2007
This volume includes articles exploring geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity of geometric objects, particularly in low dimension.
(15010 views)
Fundamentals of Geometryby Oleg A. Belyaev - Moscow State University , 2007
A continually updated book devoted to rigorous axiomatic exposition of the basic concepts of geometry. Self-contained comprehensive treatment with detailed proofs should make this book both accessible and useful to a wide audience of geometry lovers.
(22626 views)
Fractal Geometryby Michael Frame, Benoit Mandelbrot, Nial Neger - Yale University , 2009
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.
(16570 views)
Projective Geometryby Nigel Hitchin , 2003
The techniques of projective geometry provide the technical underpinning for perspective drawing and in particular for the modern version of the Renaissance artist, who produces the computer graphics we see every day on the web.
(19392 views)
Geometric Theorems and Arithmetic Functionsby Jozsef Sandor - American Research Press , 2002
Contents: on Smarandache's Podaire theorem, Diophantine equation, the least common multiple of the first positive integers, limits related to prime numbers, a generalized bisector theorem, values of arithmetical functions and factorials, and more.
(18979 views)