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Geometric Formulas: Speedy Study Guides

by Speedy Publishing

There is no doubt about the fact that our daily lives consistently revolve around mathematics. Whether one knows it or not, just about everything that is seen and felt throughout the day involves some kind of...

Geometric Origami

by Faye Goldman

Too hip to be square, Geometric Origami takes the art of paper folding to stunning new heights.

A sophisticated new origami kit for advanced paper-folding enthusiasts, Geometric Origami takes paper art to spectacular...

Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime (AM-

by Jean-Marc Couveignes, Bas Edixhoven, Johan Bosman & Franz Merkl et al.

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as...

Discrete and Computational Geometry

by Satyan L. Devadoss & Joseph O'Rourke

Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances...

Spherical Models

by Magnus J. Wenninger

Well-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes. Complete instructions for making models from circular bands of paper with just...

Lectures on Analytic and Projective Geometry

by Dirk J. Struik

This undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.

Advanced Euclidean Geometry

by Roger A. Johnson

This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.

Ruler and the Round: Classic Problems in Geometric Constructions

by Nicholas D. Kazarinoff

An intriguing look at the "impossible" geometric constructions (those that defy completion with just a ruler and a compass), this book covers angle trisection and circle division. 1970 edition.

Euclidean Geometry and Transformations

by Clayton W. Dodge

This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972...

Lie Algebras

by Nathan Jacobson

Definitive treatment of important subject in modern mathematics. Covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras...

Introduction to Non-Euclidean Geometry

by Harold E. Wolfe

College-level text for elementary courses covers the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Appendixes offer background on Euclidean geometry....

Existence Theorems for Ordinary Differential Equations

by Francis J. Murray & Kenneth S. Miller

This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition....

Proof in Geometry: With "Mistakes in Geometric Proofs"

by A. I. Fetisov & Ya. S. Dubnov

This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors....

The Geometry of Geodesics

by Herbert Busemann

A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, covering spaces, the influence of the sign of the curvature...

A Catalog of Special Plane Curves

by J. Dennis Lawrence

One of the most beautiful aspects of geometry. Information on general properties, derived curves, geometric and analytic properties of each curve. 89 illus.

Analytical Geometry of Three Dimensions

by William H. McCrea

Geared toward advanced undergraduates and graduate students, this text covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations, quadric in Cartesian coordinates, and...

Non-Euclidean Geometry

by Stefan Kulczycki

This accessible approach features stereometric and planimetric proofs, and elementary proofs employing only the simplest properties of the plane. A short history of geometry precedes the systematic exposition....

Projective Geometry

by T. Ewan Faulkner

Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective...

General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic

by Karl Friedrich Gauss, James Morehead, Adam Hiltebeitel & Peter Pesic

This influential work defines the concept of surface curvature and presents the important theorem stating that the "Gauss curvature" is invariant under arbitrary isometric deformation of a curved surface. 1902...

Introductory Non-Euclidean Geometry

by Henry Parker Manning

This fine and versatile introduction begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry....