## subcategories

**Algebraic Geometry** (55)

**Analytic Geometry** (12)

**Differential Geometry** (40)

**Elementary Geometry** (11)

**Euclidean Geometry** (35)

**Non-Euclidean Geometries** (10)

**Noncommutative Geometry** (10)

**Topology** (13)

## see also

**Geometry & Physics** (19)

## e-books in Geometry & Topology category

**Geometry and the Imagination**

by

**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.

(

**3119**views)

**The Fourth Dimension**

by

**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.

(

**3234**views)

**Euclidean Plane and Its Relatives**

by

**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.

(

**4242**views)

**The Axioms Of Descriptive Geometry**

by

**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.

(

**6494**views)

**The Axiomatic Method**

by

**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.

(

**6586**views)

**Modern Geometry**

by

**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.

(

**10036**views)

**The Geometry of the Sphere**

by

**John C. Polking**-

**Rice University**,

**2000**

We are interested here in the geometry of an ordinary sphere. In plane geometry we study points, lines, triangles, polygons, etc. On the sphere there are no straight lines. Therefore it is natural to use great circles as replacements for lines.

(

**9109**views)

**An Introduction to Geometry**

by

**Wong Yan Loi**-

**National University of Singapore**,

**2009**

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.

(

**10858**views)

**Quadratic Forms and Their Applications**

by

**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.

(

**9570**views)

**Tilings and Patterns**

by

**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.

(

**9649**views)

**Topics in Geometry**

by

**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.

(

**9691**views)

**Geometry, Topology and Physics**

by

**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.

(

**14816**views)

**Geometry and Group Theory**

by

**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.

(

**16055**views)

**Origami and Geometric Constructions**

by

**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.

(

**10826**views)

**An Elementary Course in Synthetic Projective Geometry**

by

**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.

(

**10048**views)

**Categorical Geometry**

by

**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.

(

**11137**views)

**Flavors of Geometry**

by

**Silvio Levy**-

**Cambridge University Press**,

**1997**

This book collects accessible lectures on four geometrically flavored fields of mathematics that have experienced great development in recent years: hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation.

(

**12856**views)

**Convex Geometric Analysis**

by

**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.

(

**10223**views)

**The Radon Transform**

by

**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.

(

**11265**views)

**Combinatorial and Computational Geometry**

by

**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.

(

**11894**views)

**Fundamentals of Geometry**

by

**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.

(

**19089**views)

**Fractal Geometry**

by

**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.

(

**13430**views)

**Projective Geometry**

by

**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.

(

**14758**views)

**Geometric Theorems and Arithmetic Functions**

by

**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.

(

**15210**views)