Modern Geometries

Author : James R. Smart
Publisher : Cengage Learning
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.31/5 ( download)

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Download or read book Modern Geometries written by James R. Smart and published by Cengage Learning. This book was released on 1998 with total page 488 pages. 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.

Author : Judith N. Cederberg
Publisher : Springer Science & Business Media
ISBN 13 : 1475738315
Total Pages : 243 pages
Book Rating : 4.15/5 ( download)

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Download or read book A Course in Modern Geometries written by Judith N. Cederberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 243 pages. 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.

Author : Michael Henle
Publisher : Pearson
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.36/5 ( download)

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Download or read book Modern Geometries written by Michael Henle and published by Pearson. This book was released on 2001 with total page 404 pages. 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.

Author : Arthur Baragar
Publisher : Pearson
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.35/5 ( download)

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Download or read book A Survey of Classical and Modern Geometries written by Arthur Baragar and published by Pearson. This book was released on 2001 with total page 392 pages. 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.

Author : Leonard M. Blumenthal
Publisher : Courier Dover Publications
ISBN 13 : 0486821137
Total Pages : 208 pages
Book Rating : 4.39/5 ( download)

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Download or read book A Modern View of Geometry written by Leonard M. Blumenthal and published by Courier Dover Publications. This book was released on 2017-04-19 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.

Author : George A. Jennings
Publisher : Springer Science & Business Media
ISBN 13 : 1461208556
Total Pages : 193 pages
Book Rating : 4.56/5 ( download)

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Download or read book Modern Geometry with Applications written by George A. Jennings and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to modern geometry differs from other books in the field due to its emphasis on applications and its discussion of special relativity as a major example of a non-Euclidean geometry. Additionally, it covers the two important areas of non-Euclidean geometry, spherical geometry and projective geometry, as well as emphasising transformations, and conics and planetary orbits. Much emphasis is placed on applications throughout the book, which motivate the topics, and many additional applications are given in the exercises. It makes an excellent introduction for those who need to know how geometry is used in addition to its formal theory.

Author : Annita Tuller
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.90/5 ( download)

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Download or read book A Modern Introduction to Geometries written by Annita Tuller and published by . This book was released on 1967 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Judith Cederberg
Publisher : Springer Science & Business Media
ISBN 13 : 9780387989723
Total Pages : 472 pages
Book Rating : 4.22/5 ( download)

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Download or read book A Course in Modern Geometries written by Judith Cederberg and published by Springer Science & Business Media. This book was released on 2004-09-23 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry. There follows a new introduction to symmetry and hands-on explorations of isometries that precedes an extensive analytic treatment of similarities and affinities. Chapter 4 presents plane projective geometry both synthetically and analytically, and the new Chapter 5 uses a descriptive and exploratory approach to introduce chaos theory and fractal geometry, stressing the self-similarity of fractals and their generation by transformations from Chapter 3. Throughout, each chapter includes a list of suggested resources for applications or related topics in areas such as art and history, plus this second edition points to Web locations of author-developed guides for dynamic software explorations of the Poincaré model, isometries, projectivities, conics and fractals. Parallel versions are available for "Cabri Geometry" and "Geometers Sketchpad".

Author : Michael Henle
Publisher :
ISBN 13 : 9780131934184
Total Pages : 0 pages
Book Rating : 4.8X/5 ( download)

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Download or read book Modern Geometries written by Michael Henle and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text updates the teaching of college geometry based upon three fundamental ideas: geometries only approximate reality; the best presentation of a geometry is by transformation groups; and points and other geometric objects should be co-ordinated. The work is designed to be engaging and accessible, and it describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists.

Author : Claude-Alain Faure
Publisher : Springer Science & Business Media
ISBN 13 : 9401595909
Total Pages : 370 pages
Book Rating : 4.02/5 ( download)

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Download or read book Modern Projective Geometry written by Claude-Alain Faure and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops projective geometries and provides a systematic treatment of morphisms. It introduces a new fundamental theorem and its applications describing morphisms of projective geometries in homogeneous coordinates by semilinear maps. Other topics treated include three equivalent definitions of projective geometries and their correspondence with certain lattices; quotients of projective geometries and isomorphism theorems; and recent results in dimension theory.