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25 Remote Warehouse Mathematics- Geometry and Trigonometry

This title in other editions

A Course in Modern Geometries (Undergraduate Texts in Mathematics)

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A Course in Modern Geometries (Undergraduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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".

Synopsis:

This is a new edition of a highly accessible presentation on modern geometry. Each chapter includes a list of suggested resources for applications or related topics in areas such as art and history. This second edition contains new material throughout, including a new chapter on chaos theory and fractal geometry. The book now includes pointers to the author's website, which contains guides for dynamic software explorations of many concepts, using both Cabri Geometry and Geometers Sketchpad.

Table of Contents

Axiomatic systems and finite geometries.- Non-Euclidean geometry.- Geometric transformations of the Euclidean plane.- Projective geometry.- Chaos to symmetry: an introduction to fractal geometry.

Product Details

ISBN:
9780387989723
Author:
Cederberg, Judith N.
Publisher:
Springer
Location:
New York, NY
Subject:
Geometry - General
Subject:
Geometry
Subject:
Mathematics-Geometry and Trigonometry
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Number:
2
Edition Description:
2001. Corr. 2nd
Series:
Undergraduate Texts in Mathematics
Series Volume:
1
Publication Date:
20001129
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
463
Dimensions:
235 x 155 mm 1830 gr

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Related Subjects

Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

A Course in Modern Geometries (Undergraduate Texts in Mathematics) New Hardcover
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Product details 463 pages Springer - English 9780387989723 Reviews:
"Synopsis" by , This is a new edition of a highly accessible presentation on modern geometry. Each chapter includes a list of suggested resources for applications or related topics in areas such as art and history. This second edition contains new material throughout, including a new chapter on chaos theory and fractal geometry. The book now includes pointers to the author's website, which contains guides for dynamic software explorations of many concepts, using both Cabri Geometry and Geometers Sketchpad.
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