Geometry and the Visual Arts

Author: Daniel Pedoe
Publisher: Courier Corporation
ISBN: 048624458X
Release Date: 1976
Genre: Mathematics

This survey traces the effects of geometry on artistic achievement and clearly discusses its importance to artists and scientists. It also surveys projective geometry, mathematical curves, theories of perspective, architectural form, and concepts of space.

The Gentle Art of Mathematics

Author: Daniel Pedoe
Publisher: Courier Corporation
ISBN: 0486229491
Release Date: 1958
Genre: Mathematics

Collects mathematical games that entertain and provide an introduction to advanced study

Geometry The Line and the Circle

Author: Maureen T. Carroll
Publisher: American Mathematical Soc.
ISBN: 9781470448431
Release Date: 2018-12-20
Genre: Geometry

Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

Art and Geometry

Author: William M. Ivins
Publisher: Courier Corporation
ISBN: 9780486143583
Release Date: 2012-10-16
Genre: Art

This highly stimulating study observes many historical interrelationships between art and mathematics. It explores ancient and Renaissance painting and sculpture, the development of perspective, and advances in projective geometry.

Geometry at Work

Author: Catherine A. Gorini
Publisher: Cambridge University Press
ISBN: 0883851644
Release Date: 2000-10-12
Genre: Mathematics

An examination of symmetry for the interested layman.


Author: Daniel Pedoe
Publisher: Courier Corporation
ISBN: 0486658120
Release Date: 1970
Genre: Mathematics

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Mathematics for Computer Graphics Applications

Author: Michael E. Mortenson
Publisher: Industrial Press Inc.
ISBN: 083113111X
Release Date: 1999-01-01
Genre: Computers

This completely revised Second Edition of "Computer Graphics" includes valuable information on major organizational changes within the last few years. This edition brings to the fore the basic mathematical tools of computer graphics, including vectors, matrices, and transformations. Additionally, it provides a strong, comprehensive base in exploring math, computer science, physics, engineering, and in special subjects such as algebraic and computational geometry, geometric modeling, and CAD/CAM. A highly diversified book that can be utilized as a primary textbook, supplemental teaching resource, individual tutorial, or key reference text. Includes new chapters on symmetry, limit and continuity, constructive solid geometry, and the Bezier curve. Provides many new figures and exercises. Contains an annotated suggested reading list with exercises and answers in each chapter. Appeals to both academics and professionals. Offers a new solutions manual for instructors.

Mathematical footprints

Author: Theoni Pappas
Publisher: Wide World Publishing, Tetra
ISBN: PSU:000043968596
Release Date: 1999-12-01
Genre: Mathematics

This journey across the spectrum of human activities takes a creative look at the role mathematics has played since prehistoric times. From its many uses in medicine and its appearance in artwork to its patterns in nature and its central role in the development of computers, mathematics is presented in a fun-to-read, nonthreatening manner.

Geometry of Design

Author: Kimberly Elam
Publisher: Princeton Architectural Press
ISBN: 1568985843
Release Date: 2006-07-20
Genre: Architecture

Kimberly Elam fA1/4hrt den Leser auf eine geometrische Reise und gibt Einsicht in den Designprozess, indem sie visuelle Beziehungen untersucht, die sowohl auf mathematischen Prinzipien als auch auf grundlegenden Eigenschaften des Lebens basieren. Elams ErklArungen machen die mathematischen Beziehungen, die sich hinter diesen Designs verbergen, offensichtlich, und ihre EinfA1/4hrung in die Technik der visuellen Analyse macht dieses Buch zu einer unerlAsslichen Hilfe fA1/4r jeden, der grafisch arbeitet. Die Autorin behandelt dabei nicht nur die klassischen Proportionierungssysteme wie den Goldenen Schnitt und wurzelbasierte Rechtecke, sondern auch weniger bekannte Systeme wie z.B. die Fibonaccifolge.

Geometry of Design

Author: Kimberly Elam
Publisher: Princeton Architectural Press
ISBN: 1568982496
Release Date: 2001
Genre: Design

This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.

Differential Geometry

Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 9780486157207
Release Date: 2012-04-27
Genre: Mathematics

This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.

MAA Notes

Publisher: The Mathematical Association of America
ISBN: UOM:39015056605325
Release Date: 2000
Genre: Education

Dear Teacher

Author: Martha Brady
Publisher: Libraries Unlimited
ISBN: 1591580250
Release Date: 2004
Genre: Education

The key to authentic learning is capitalizing on teachable momentseither created by the students and/or your current surroundingsin the classroom. Learn to look for and create, rather than wait for, these tremendous learning opportunities as you teach your curriculum with Bradys outstanding resource.