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Synopsis
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.
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Review
Second Edition
J. N. Cederberg
A Course in Modern Geometries
"Cederberg’s book has the virtue of exceptionally clear exposition and at the same time, it is brief enough not to exhaust one’s patience . . . I have seen hundreds of college-level texts on geometry and this is one of the handful I like the most."
—THE UMAP JOURNAL
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A Course in Modern Geometries
Published by
Springer-Verlag New York Inc., 2000
ISBN 10: 0387969225
ISBN 13: 9780387969220
Used
Hardcover
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Seller rating 5 out of 5 stars
Hardback. Condition: Good. 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 Poincar 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. Seller Inventory # 00109557363
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A Course in Modern Geometries
Seller: Better World Books, Mishawaka, IN, U.S.A.
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Condition: Very Good. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 2306735-6
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A Course in Modern Geometries
Published by
Springer-Verlag New York Inc., 2000
ISBN 10: 0387969225
ISBN 13: 9780387969220
Used
Hardcover
Seller: World of Books Inc, Montgomery, IL, U.S.A.
Seller rating 4 out of 5 stars
Hardback. Condition: Good. 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 Poincar 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. Seller Inventory # CIN0387969225G
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A Course in Modern Geometries (Undergraduate Texts in Mathematics)
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Hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_472370348
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A Course in Modern Geometries (Undergraduate Texts in Mathematics)
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Hardcover. Condition: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0387969225I3N00
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A Course in Modern Geometries (Undergraduate Texts in Mathematics)
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A course in modern geometries.
Published by
New York [etc.], Springer., 1995
ISBN 10: 0387969225
ISBN 13: 9780387969220
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Hardcover
Seller: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Germany
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[Corrected third printing]. 25 cm. XII, 232 p. ill. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Undergraduate texts in mathematics. Sprache: Englisch. Seller Inventory # 8295IB
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A Course In Modern Geometries (Corrected Third Printing, 1995)
Seller: Arroyo Seco Books, Pasadena, Member IOBA, Pasadena, CA, U.S.A.
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Hardcover. Condition: Fine. 1st Edition. Xii, 232 Pp. Corrected Third Printing, Stated. Fine. Seller Inventory # 057201
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A Course in Modern Geometries (Undergraduate Texts in Mathematics)
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A course in modern geometries Judith N. Cederberg
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Hardcover. Condition: gut. 1989. A course in modern geometries In englischer Sprache. pages. Seller Inventory # BN552942
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