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Modern Geometries

1998 Mathematics
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Release : 1998
Genre : Mathematics
Kind : eBook
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Book Synopsis Modern Geometries by : James R. Smart

Download or read book Modern Geometries written by James R. Smart. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive, best-selling text focuses on the study of many different geometries -- rather than a single geometry -- and is thoroughly modern in its approach. Each chapter is essentially a short course on one aspect of modern geometry, including finite geometries, the geometry of transformations, convexity, advanced Euclidian geometry, inversion, projective geometry, geometric aspects of topology, and non-Euclidean geometries. This edition reflects the recommendations of the COMAP proceedings on Geometry's Future, the NCTM standards, and the Professional Standards for Teaching Mathematics. References to a new companion text, Active Geometry by David A. Thomas encourage students to explore the geometry of motion through the use of computer software. Using Active Geometry at the beginning of various sections allows professors to give students a somewhat more intuitive introduction using current technology before moving on to more abstract concepts and theorems.

A Survey of Classical and Modern Geometries

2001 Mathematics
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Release : 2001
Genre : Mathematics
Kind : eBook
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Book Synopsis A Survey of Classical and Modern Geometries by : Arthur Baragar

Download or read book A Survey of Classical and Modern Geometries written by Arthur Baragar. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes the beauty of geometry using a modern approach. Models & computer exercises help readers to cultivate geometric intuition. Topics include Euclidean Geometry, Hand Constructions, Geometer's Sketch Pad, Hyperbolic Geometry, Tilings & Lattices, Spherical Geometry, Projective Geometry, Finite Geometry, and Modern Geometry Research. Ideal for geometry at an intermediate level.

Modern Geometries

1994 Mathematics
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Release : 1994
Genre : Mathematics
Kind : eBook
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Book Synopsis Modern Geometries by : James R. Smart

Download or read book Modern Geometries written by James R. Smart. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive, best-selling text focuses on the study of many different geometries--rather than a single geometry--and emphasizes practical applications. Designed to be a flexible teaching tool for a wide range of students (including math, education, or computer science majors), Smart's text features self-contained chapters organized so that instructors can cover as much or as little of each topic as they choose, from bare minimum one-section coverage to full-chapter coverage. Modern Geometries has earned a reputation for its logical progression of ideas, its well-constructed exercises, and its comprehensive coverage. In this edition, Smart covers the major new applied areas of computer graphics, and emphasizes matrices for transformations.

A Course in Modern Geometries

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 315/5 ( reviews)

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Book Synopsis A Course in Modern Geometries by : Judith N. Cederberg

Download or read book A Course in Modern Geometries written by Judith N. Cederberg. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics.

Modern Geometries

2001 Mathematics
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Author :
Release : 2001
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Modern Geometries by : Michael Henle

Download or read book Modern Geometries written by Michael Henle. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: Engaging, accessible, and extensively illustrated, this brief, but solid introduction to modern geometry describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically non-Euclidean in approach, it relates geometry to familiar ideas from analytic geometry, staying firmly in the Cartesian plane. It uses the principle geometric concept of congruence or geometric transformation--introducing and using the Erlanger Program explicitly throughout. It features significant modern applications of geometry--e.g., the geometry of relativity, symmetry, art and crystallography, finite geometry and computation. Covers a full range of topics from plane geometry, projective geometry, solid geometry, discrete geometry, and axiom systems. For anyone interested in an introduction to geometry used by contemporary mathematicians and theoretical scientists.

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