Modern Geometries
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Modern Geometries
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Author : James R. Smart
language : en
Publisher: Brooks Cole
Release Date : 1994
Modern Geometries written by James R. Smart and has been published by Brooks Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
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
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Author : Judith N. Cederberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
A Course In Modern Geometries written by Judith N. Cederberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
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 continues the synthetic approach as it introduces Euclid's geometry and ideas of non-Euclidean geometry. In Chapter 3, a new introduction to symmetry and hands-on explorations of isometries precedes the extensive analytic treatment of isometries, similarities and affinities. A new concluding section explores isometries of space. 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. 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. Each chapter includes a list of suggested resources for applications or related topics in areas such as art and history. The second edition also includes pointers to the web location of author-developed guides for dynamic software explorations of the Poincaré model, isometries, projectivities, conics and fractals. Parallel versions of these explorations are available for "Cabri Geometry" and "Geometer's Sketchpad". Judith N. Cederberg is an associate professor of mathematics at St. Olaf College in Minnesota.
Modern Geometries
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Author : James R. Smart
language : en
Publisher: Cengage Learning
Release Date : 1998
Modern Geometries written by James R. Smart and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
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.
Modern Geometries
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Author : Ninian Smart
language : en
Publisher: Thomson
Release Date : 1988-02
Modern Geometries written by Ninian Smart and has been published by Thomson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-02 with categories.
A Course In Modern Geometries
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Author : Judith Cederberg
language : en
Publisher: Springer
Release Date : 1989
A Course In Modern Geometries written by Judith Cederberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
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.
A Course In Modern Geometries
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Author : Judith Cederberg
language : en
Publisher: Springer
Release Date : 1989
A Course In Modern Geometries written by Judith Cederberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
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.
A Survey Of Classical And Modern Geometries
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Author : Arthur Baragar
language : en
Publisher: Pearson
Release Date : 2001
A Survey Of Classical And Modern Geometries written by Arthur Baragar and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
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
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Author : Michael Henle
language : en
Publisher:
Release Date : 1997
Modern Geometries written by Michael Henle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Geometry, Modern categories.
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.
Modern Geometries
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Author : Michael Henle
language : en
Publisher: Pearson
Release Date : 2001
Modern Geometries written by Michael Henle and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
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.
Modern Geometries
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Author : Michael Henle
language : en
Publisher:
Release Date : 1997
Modern Geometries written by Michael Henle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.