Introduction to Geometry, 2nd Edition

Jean-Daniel Boissonnat, Mariette Yvinec; Translated By Hervé Brönnimann

The design and analysis of geometric algorithms has seen remarkable growth in recent years, due to their application in, for example, computer vision, graphics, medical imaging and CAD. The goal of this book is twofold: first to present a coherent and systematic treatment of the foundations; second to present algorithmic solutions to problems that are simple to state but which nevertheless are applicable in practical situations. The prerequisites for using the book are few which will make it ideal for teaching advanced courses in computational geometry.DjVulibre:DjVu2TIFF2PDF,loss of text data and larger file sizes.Calibre:produces poorly formatted PDFs and may encounter parsing errorsDjVuToy:1. Maintain the original compression rate of DjVu files.2. Preserve the OCR metadata of DjVu documents.3. The software is very lightweight and completely free.4. Only for Windows DjVuToy Download:https://url26.ctfile.com/f/41895126-925895940-3a0fec?p=9167Password:9167 Leer más…

Rey Casse

This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinating a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates. Leer más…

Harold Scott Macdonald Coxeter

This is a reissue of Professor Coxeter's classic text on non-Euclidean geometry. It begins with a historical introductory chapter, and then devotes three chapters to surveying real projective geometry, and three to elliptic geometry. After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases of a more general 'descriptive geometry'. This is essential reading for anybody with an interest in geometry. Leer más…

Felix Klein, Wooster Woodruff Beman, David Eugene Smith

This short book, first published in 1897, addresses three geometry puzzles that have been passed down from ancient times. Written for high school students, this book aims to show a younger audience why math should matter and to make the problems found in math intriguing. Klein presents for his readers an investigation of the possibility or impossibility of finding solutions for the following problems in light of mathematics available to him: duplication of the cube trisection of an angle quadrature of the circle Mathematicians and students of the history of math will find this an intriguing work. German mathematician FELIX KLEIN (1849-1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis and Elementary Mathematics from an Advanced Standpoint: Geometry.DjVulibre:DjVu2TIFF2PDF,loss of text data and larger file sizes.Calibre:produces poorly formatted PDFs and may encounter parsing errorsDjVuToy:1. Maintain the original compression rate of DjVu files.2. Preserve the OCR metadata of DjVu documents.3. The software is very lightweight and completely free.4. Only for Windows DjVuToy Download:https://url26.ctfile.com/f/41895126-925895940-3a0fec?p=9167Password:9167 Leer más…

Miles Reid, Balazs Szendroi

Geometry Provides A Whole Range Of Views On The Universe, Serving As The Inspiration, Technical Toolkit And Ultimate Goal For Many Branches Of Mathematics And Physics. This Book Introduces The Ideas Of Geometry, And Includes A Generous Supply Of Simple Explanations And Examples. The Treatment Emphasises Coordinate Systems And The Coordinate Changes That Generate Symmetries. The Discussion Moves From Euclidean To Non-euclidean Geometries, Including Spherical And Hyperbolic Geometry, And Then On To Affine And Projective Linear Geometries. Group Theory Is Introduced To Treat Geometric Symmetries, Leading To The Unification Of Geometry And Group Theory In The Erlangen Program. An Introduction To Basic Topology Follows, With The Möbius Strip, The Klein Bottle And The Surface With G Handles Exemplifying Quotient Topologies And The Homeomorphism Problem. Topology Combines With Group Theory To Yield The Geometry Of Transformation Groups,having Applications To Relativity Theory And Quantum Mechanics. A Final Chapter Features Historical Discussions And Indications For Further Reading. With Minimal Prerequisites, The Book Provides A First Glimpse Of Many Research Topics In Modern Algebra, Geometry And Theoretical Physics. The Book Is Based On Many Years' Teaching Experience, And Is Thoroughly Class-tested. There Are Copious Illustrations, And Each Chapter Ends With A Wide Supply Of Exercises. Further Teaching Material Is Available For Teachers Via The Web, Including Assignable... Leer más…

Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov, Titu Andreescu

Questions Of Maxima And Minima Have Great Practical Significance, With Applications To Physics, Engineering, And Economics; They Have Also Given Rise To Theoretical Advances, Notably In Calculus And Optimization. Indeed, While Most Texts View The Study Of Extrema Within The Context Of Calculus, This Carefully Constructed Problem Book Takes A Uniquely Intuitive Approach To The Subject: It Presents Hundreds Of Extreme-value Problems, Examples, And Solutions Primarily Through Euclidean Geometry. Key Features And Topics: * Comprehensive Selection Of Problems, Including Greek Geometry And Optics, Newtonian Mechanics, Isoperimetric Problems, And Recently Solved Problems Such As Malfatti’s Problem * Unified Approach To The Subject, With Emphasis On Geometric, Algebraic, Analytic, And Combinatorial Reasoning * Presentation And Application Of Classical Inequalities, Including Cauchy--schwarz And Minkowski’s Inequality; Basic Results In Calculus, Such As The Intermediate Value Theorem; And Emphasis On Simple But Useful Geometric Concepts, Including Transformations, Convexity, And Symmetry * Clear Solutions To The Problems, Often Accompanied By Figures * Hundreds Of Exercises Of Varying Difficulty, From Straightforward To Olympiad-caliber Written By A Team Of Established Mathematicians And Professors, This Work Draws On The Authors’ Experience In The Classroom And As Olympiad Coaches. By Exposing Readers To A Wealth Of Creative Problem-solving Approaches, The Text Communicates Not... Leer más…

Benjamin Bold

Each chapter devoted to single type of problem with accompanying commentary and set of practice problems. Amateur puzzlists, students of mathematics and geometry will enjoy this rare opportunity to match wits with civilization’s great mathematicians and witness the invention of modern mathematics.<br Leer más…

Harold Scott Macdonald Coxeter; Harold S M Coxeter

Foremost book available on polytopes, incorporating ancient Greek and most modern work done on them. Beginning with polygons and polyhedrons, the book moves on to multi-dimensional polytopes in a way that anyone with a basic knowledge of geometry and trigonometry can easily understand. Definitions of symbols. Eight tables plus many diagrams and examples. 1963 edition. Leer más…

Hans Schwerdtfeger

Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries. This book should be in every library, and every expert in classical function theory should be familiar with this material. The author has performed a distinct service by making this material so conveniently accessible in a single book. - Mathematical Review . Leer más…

Ron Larson, Laurie Boswell, Lee Stiff, Timothy D. Kanold, Lee Stiff

lgli/V:\!GST\DVD 17 - Great Science Textbooks DVD Library 2007 - Update Apr 2009\Algebra & Trigonometry\Geometry\Larson - Geometry (McDougal, 2007).pdf Leer más…

Marta Sved, H. S. M. Coxeter, John Stillwell

This charming book introduces us to topics in hyperbolic geometry in a delightfully informal style. Journey into Geometrics can be read at two levels. It can be studied as an informal introduction to post-Euclidean geometry, or it can serve as background material for university students. The material presented in the text is extended by carefully selected problems. The background required is minimal, standard high school geometry, yet the serious student, aided by problems attached to each chapter, should acquire a deeper understanding of the subject. Leer más…

Alfred S. Posamentier, Charles T. Salkind

I liked this book very much. I solved every single problem in the book with two students that I tutor for International Math Olympiads and carefully read the hints and solutions proposed at the end of the book. They really teach how to "attack" geometry problems using simple stuff like angle chasing, drawing parallel lines etc. I cannot recommend this book more to the readers with some mathematical sophistication. I even have a suggestion for parents that have some sort of mathematical background (engineers, bankers, doctors, etc.): If you want to spend quality time with your children, get this book and enjoy solving the problems together. I cannot imagine a more amusing pastime. I am looking forward to seeing new titles from the authors. Leer más…

Michael Spivak, Spivak, Michael

Spivak's 5 volume set is a classic and overall the best and most thorough treatment of differential geometry Leer más…

Nathan Altshiller-Court

Thank you Dover!! This is one of the two English books in print that give a fairly complete introduction to advanced Euclidean geometry, the other one being the comparable text by R A Johnson, Advanced Euclidean Geometry (Dover Books on Mathematics). The book contains all the classical theorems with full proofs, including many theorems that belong to the so called triangle geometry that was developed in the last quarter of the nineteenth century. Due to geometry software the subject is becoming popular again. The book also contains a treasure of exercises, but no solutions which could be a nuisance. But what use are the solutions? Problems should be solved and not looked up!. Many problems are about geometric constructions. If you prepare for a mathematical contest or if you are interested in a complete overview of the classical plane geometry (for instance after reading Ross Honsberger's "Episodes"), this is your book. The book assumes that you are familiar with simple geometrical concepts like congruence of triangles, parallelograms, circles and the most elementary theorems and constructions as can be found in Kiselev's book Kiselev's Geometry / Book I. Planimetry. Leer más…

David Hilbert; Leo Unger; Paul Bernays

David Hilbert. Translation Of Grundlagen Der Geometrie. Originally Published: 1971. Includes Bibliographical References And Index. Leer más…

Michael Spivak, Spivak, Michael

Spivak's 5 volume set is a classic and overall the best and most thorough treatment of differential geometry Leer más…

M. N. Aref, William Wernick

Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition. Leer más…

Jerry Cummins, Mcgraw-Hill, Timothy Kanold, Margaret J. Kenney

An ideal program for struggling students. Geometry: Concepts and Applications covers all geometry concepts using an informal approach. Leer más…