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An Elementary Course in Synthetic Projective Geometry
This text teaches the basics of projective geometry without using measurements or coordinates. It is the essentials of synthetic projective geometry. Enough examples have been provided to give the student a clear grasp of the theory. The student shou . . . READ MORE
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An Introduction to Geometry by Wong Yan Loi - Free PDF
This text is a well-structured lecture notes used at the National University of Singapore. It starts with basic ideas from Euclid—like points, lines, triangles, and the first 28 propositions then moves on to things like special triangle centers, quad . . . READ MORE
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Categorical Geometry by Zhaohua Luo - Free Online
This is a book that combines ideas from category theory and geometry to study geometric structures in a new way. Category theory is a branch of mathematics that looks at how different mathematical objects relate to each other. By applying this perspe . . . READ MORE
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Combinatorial and Computational Geometry by Goodman PDF
This book brings together 32 research papers on geometric problems. These papers cover topics like geometric arrangements, polytopes, packing and covering problems, discrete convexity, geometric algorithms, and the combinatorial complexity of geometr . . . READ MORE
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Convex Geometric Analysis by Keith Ball, Vitali Milman
This book combines ideas from category theory and geometry to study geometric structures in a new way. Category theory is a branch of mathematics that looks at how different mathematical objects relate to each other. By applying this perspective to g . . . READ MORE
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Euclidean Plane and Its Relatives by Anton Petrunin PDF
This book is about different types of flat and curved surfaces in geometry. It covers Euclidean geometry, Inversive geometry, Non-Euclidean geometry and Additional topics. It talks about flat surfaces like the ones we learn about in school. It also l . . . READ MORE
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Finite Euclidean and Non-Euclidean Geometries Vogelaere
This book explores geometry beyond traditional Euclidean concepts. It begins with an axiomatic approach to projective geometry and introduces quaternionic geometry. The book extends geometric principles to arbitrary fields, including finite fields, a . . . READ MORE
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Fractal Geometry by Michael Frame Benoit Mandelbrot PDF
This is an introduction to fractal geometry for students without especially strong mathematical preparation, or any particular interest in science. This text is an easy-to-understand introduction to the study of fractals, aimed at readers without a s . . . READ MORE
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Fundamentals of Geometry by Oleg A. Belyaev
This is a comprehensive textbook that explores the foundational principles of geometry. It is useful to a wide audience of geometry lovers, from high school and college students to university teachers and other geometry professionals. It begins with . . . READ MORE
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Geometric Theorems, Diophantine Equations, Arithmetic
This is a mathematics book that explores the connections between geometry and number theory. It is valuable for researchers and students interested in the interplay between geometric concepts and number theory, offering a collection of studies and no . . . READ MORE
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Geometry and the Imagination in Minneapolis John Conway
This text explores various geometric concepts, including the Leibniz formula, configurations of points and lines with equally many points on each line and equally many lines through each point, curvature and non-Euclidean geometry, mechanical linkag . . . READ MORE
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Geometry, Topology and Physics by Maximilian Kreuzer
This text is a set of lecture notes given at the Technical University of Vienna in 2009–2010. The material introduces foundational concepts in geometry and topology, emphasizing their applications in theoretical physics. Topics covered include topolo . . . READ MORE
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Modern Geometry by Robert Sharpley - Free PDF
This book is explore both traditional and new ideas in geometry. It covers different kinds of shapes and spaces, from simple flat surfaces to more complex curved ones. It is a study of modern geometry as a logical system based upon postulates and und . . . READ MORE
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Origami and Geometric Constructions by Robert Lang -PDF
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.
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Projective Geometry by Nigel Hitchin - PDF
This text is a lecture notes on projective geometry, developed for his B3 course at the University of Oxford, introduce a type of geometry that doesn't rely on measuring distances or angles. Instead, it focuses on the relationships between points and . . . READ MORE
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Quadratic Forms and Their Applications - Andrew Ranick
This text is based on the 1999 conference at University College Dublin. Edited by Eva Bayer-Fluckiger, David Lewis, and Andrew Ranicki, it collects survey articles and research papers exploring how quadratic forms function across diverse fields—algeb . . . READ MORE
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The Axiomatic Method by L. Henkin, P. Suppes, A. Tarski
This book explains how math can be built from a few basic rules called axioms. The book shows how starting with simple truths, mathematicians use logic to create complex ideas. It helps readers understand how math is carefully organized and why this . . . READ MORE
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The Axioms Of Descriptive Geometry by Alfred Whitehead
This book explains the basic rules that help us draw and understand three-dimensional shapes on flat surfaces. It is a valuable resource for students, teachers, and professionals in the fields of mathematics, engineering, architecture, and art. After . . . READ MORE
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The Fourth Dimension by Charles Howard Hinton - PDF
The Fourth Dimension is a book written by Charles Howard Hinton in 1884. In this book, Hinton introduces the idea of a fourth spatial dimension beyond the three dimensions we are familiar with: length, width, and height. He uses simple examples and a . . . READ MORE
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The Radon Transform by Sigurdur Helgason - PDF
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.
The book introduces the Radon transform, discusses its applicatio . . . READ MORE
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Topics in Geometry by John O'Connor - Free Online
This text is an advanced-level lecture series developed for a 2003 University of St Andrews course. The material explores advanced topics in geometry, focusing on crystallographic groups and lattice theory. Key topics include the classification of c . . . READ MORE
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