Gems of Geometry

Author: John Barnes

Publisher: Springer Science & Business Media

ISBN: 364230964X

Category: Mathematics

Page: 325

View: 7201

Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number and taking the reader on a geometrical journey via Shapes and Solids, through the Fourth Dimension, finishing up with Einstein's Theories of Relativity. Equally suitable as a gift for a youngster or as a nostalgic journey back into the world of mathematics for older readers, John Barnes' book is the perfect antidote for anyone whose maths lessons at school are a source of painful memories. Where once geometry was a source of confusion and frustration, Barnes brings enlightenment and entertainment. In this second edition, stimulated by recent lectures at Oxford, further material and extra illustrations have been added on many topics including Coloured Cubes, Chaos and Crystals.

Six gems of geometry

Author: Thomas Reale

Publisher: PSIpress

ISBN: 1935638025

Category: Geometry

Page: 137

View: 9731

Six gems of geometry is an introductory geometry textbook for general audiences. The book focuses mainly on the teachings of Euclid. It contains a story inspired by William Blake's painting, Newton the Measurer, where an encounter is imagined between Euclid and Newton, suggesting a deep influence the former may have had on the latter.

Geometry Flow

Global Doodle Gems Presents Geometry Flow by Mr. End

Author: Global Doodle Gems,MR End

Publisher: Global Doodle Gemsanna-Marie Vibeke Wedel

ISBN: 9788793385160


Page: 154

View: 1840

Coloring book by Mr. End, Global Doodle Gems presents Geometry Flow by Mr. End, a new concept of coloring with added tracing possibilities to expand your experience and offer you creative possibilities beyond just coloring..... this book is divided in 3 collections of 12 pieces first collection is Voice of the Feminine Spirit, the second collection is the 12 signs in the Horoscope and finally the Goodfellas collection... prepare yourself for an epic coloring journey into the universe of Geometry Flow ...

Applied Computational Geometry. Towards Geometric Engineering

FCRC '96 Workshop, WACG '96, Philadelphia, PA, May 27 - 28, 1996, Selected Papers

Author: Acm Workshop on Applied Computational Geometry 1996 Philadelphia, Pa,Ming C. Lin

Publisher: Springer Science & Business Media

ISBN: 9783540617853

Category: Computers

Page: 222

View: 2594

Content Description #Anthology selected from contributions to the First ACM Workshop on Applied Computational Geometry.#Includes bibliographical references and index.

Graphics Gems V (Macintosh Version)

Author: Alan W. Paeth

Publisher: Academic Press

ISBN: 1483296695

Category: Computers

Page: 438

View: 9228

Graphics Gems V is the newest volume in The Graphics Gems Series. It is intended to provide the graphics community with a set of practical tools for implementing new ideas and techniques, and to offer working solutions to real programming problems. These tools are written by a wide variety of graphics programmers from industry, academia, and research. The books in the series have become essential, time-saving tools for many programmers. Latest collection of graphics tips in The Graphics Gems Series written by the leading programmers in the field. Contains over 50 new gems displaying some of the most recent and innovative techniques in graphics programming. Includes gems covering ellipses, splines, Bezier curves, and ray tracing. Disk included containing source code from the gems available in both IBM and Macintosh versions.

Computational Geometry in C

Author: Joseph O'Rourke

Publisher: Cambridge University Press

ISBN: 9780521649766

Category: Computers

Page: 376

View: 5685

This is the newly revised and expanded edition of the popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. A new "Sources" chapter points to supplemental literature for readers needing more information on any topic. A novel aspect is the inclusion of working C code for many of the algorithms, with discussion of practical implementation issues. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research, making it a useful reference for practitioners at all levels. The code in this new edition is significantly improved from the first edition, and four new routines are included. Java versions for this new edition are also available. All code is accessible from the book's Web site ( or by anonymous ftp.

Some Adventures in Euclidean Geometry

Author: Michael de Villiers

Publisher: Dynamic Mathematics Learning

ISBN: 0557102952

Category: Euclid's Elements

Page: 219

View: 4566

This book seeks to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric results, which have only been discovered during the past 300 years such as the Euler line, the theorems of Ceva, Napoleon, Morley, Miquel, Varignon, etc. Extensive attention is also given to the classification of the quadrilaterals from the symmetry of a side-angle duality. Many examples lend themselves excellently for exploration on computer with dynamic geometry programs such as Sketchpad. The book is addressed primarily to university or college lecturers involved in the under-graduate or in-service training of high school mathematics teachers, but may also interest teachers who are looking for enrichment material, and gifted high school mathematics pupils.

The Heart of Mathematics

An invitation to effective thinking

Author: Edward B. Burger,Michael Starbird

Publisher: Springer Science & Business Media

ISBN: 9781931914413

Category: Mathematics

Page: 760

View: 7401

Hallmark features include: * A focus on the important ideas of mathematics that students will retain long after their formal studies are complete. * An engaging and humorous style, written to be read and enjoyed. * Ten Life Lessons that readers will apply beyond their study of mathematics. * Use of a variety of visualization techniques that direct students to model their thinking and to actively explore the world around them. New to this Edition: * A new chapter, Deciding Wisely: Applications of Rigorous Thought, provides a thought-provoking capstone. * Expanded and improved statistics and probability content in Chapter 7, Taming Uncertainty. * Enhanced Mindscapes at the end of each section which ask the reader to review, apply and think deeply about the ideas presented in the chapter. * Radically superior ancillary package.

Mathematical gems

Author: Ross Honsberger

Publisher: N.A

ISBN: 9780883853023

Category: Mathematics

Page: 182

View: 1103


Analytic Hyperbolic Geometry

Mathematical Foundations and Applications

Author: Abraham A. Ungar

Publisher: World Scientific

ISBN: 9812703276

Category: Mathematics

Page: 463

View: 8469

This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. A gyrovector is a hyperbolic vector. In the resulting "gyrolanguage" of the book, one attaches the prefix "gyro" to a classical term to mean the analogous term in hyperbolic geometry. The book begins with the definition of gyrogroups, which is fully analogous to the definition of groups. Gyrogroups, both gyrocommutative and nongyrocommutative, abound in group theory. Surprisingly, the seemingly structureless Einstein velocity addition of special relativity turns out to be a gyrocommutative gyrogroup operation. Introducing scalar multiplication, some gyrocommutative gyrogroups of gyrovectors become gyrovector spaces. The latter, in turn, form the setting for analytic hyperbolic geometry just as vector spaces form the setting for analytic Euclidean geometry. By hybrid techniques of differential geometry and gyrovector spaces, it is shown that Einstein (Mobius) gyrovector spaces form the setting for Beltrami-Klein (Poincare) ball models of hyperbolic geometry. Finally, novel applications of Mobius gyrovector spaces in quantum computation, and of Einstein gyrovector spaces in special relativity, are presented.

Topics in Elementary Geometry

Author: O. Bottema

Publisher: Springer Science & Business Media

ISBN: 9780387781310

Category: Mathematics

Page: 142

View: 4576

This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.

Nice Numbers

Author: John Barnes

Publisher: Birkhäuser

ISBN: 3319468316

Category: Mathematics

Page: 329

View: 1387

In this intriguing book, John Barnes takes us on a journey through aspects of numbers much as he took us on a geometrical journey in Gems of Geometry. Similarly originating from a series of lectures for adult students at Reading and Oxford University, this book touches a variety of amusing and fascinating topics regarding numbers and their uses both ancient and modern. The author informs and intrigues his audience with both fundamental number topics such as prime numbers and cryptography, and themes of daily needs and pleasures such as counting one's assets, keeping track of time, and enjoying music. Puzzles and exercises at the end of each lecture offer additional inspiration, and numerous illustrations accompany the reader. Furthermore, a number of appendices provides in-depth insights into diverse topics such as Pascal's triangle, the Rubik cube, Mersenne's curious keyboards, and many others. A theme running through is the thought of what is our favourite number. Written in an engaging and witty style and requiring only basic school mathematical knowledge, this book will appeal to both young and mature readers fascinated by the curiosities of numbers.

Lectures on Discrete Geometry

Author: N.A

Publisher: Springer Science & Business Media

ISBN: 9780387953748


Page: N.A

View: 3443


Graphics Gems II

Author: James Arvo

Publisher: Morgan Kaufmann

ISBN: 9780120644810

Category: Computers

Page: 643

View: 5553

Graphics Gems II is a collection of articles shared by a diverse group of people that reflect ideas and approaches in graphics programming which can benefit other computer graphics programmers. This volume presents techniques for doing well-known graphics operations faster or easier. The book contains chapters devoted to topics on two-dimensional and three-dimensional geometry and algorithms, image processing, frame buffer techniques, and ray tracing techniques. The radiosity approach, matrix techniques, and numerical and programming techniques are likewise discussed. Graphics artists and computer programmers will find the book invaluable.

Math, Grade 6

Author: American Education Publishing

Publisher: Carson-Dellosa Publishing

ISBN: 1609962532

Category: Juvenile Nonfiction

Page: 128

View: 6093

These nationally acclaimed titles ensure students’ academic success with teachers and parents. The key to the Master Skills series is reinforcing skills through practice; using a contemporary approach to learning fundamentals through real-life applications. The workbooks in this series are excellent tools to prepare young learners for proficiency testing and school success. Answer keys included.

The Foundations of Geometry and the Non-Euclidean Plane

Author: G.E. Martin

Publisher: Springer Science & Business Media

ISBN: 9780387906942

Category: Mathematics

Page: 512

View: 3557

This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.

The Rainbow of Mathematics

A GEMS Handbook

Author: Jaine Kopp,Lincoln Bergman

Publisher: Gems


Category: Education

Page: 56

View: 4252

Presents the main ideas and current approaches in inquiry-based, content-rich mathematics education.