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Thinking Geometrically Thomas Q. Sibley (Saint John's University, Minnesota)

Thinking Geometrically By Thomas Q. Sibley (Saint John's University, Minnesota)

Summary

A self-contained, comprehensive survey of college geometry that serves a variety of courses for students of mathematics and mathematics education.

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Thinking Geometrically Summary

Thinking Geometrically: A Survey of Geometries by Thomas Q. Sibley (Saint John's University, Minnesota)

This is a self-contained, comprehensive survey of college geometry that can serve a wide variety of courses for students of both mathematics and mathematics education. The text develops visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Chapter topics include Euclidean geometry, axiomatic systems and models, analytic geometry, transformational geometry, symmetry, non-Euclidean geometry, projective geometry, finite geometry, differential geometry, and discrete geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics. Appendices include material from Euclid's first book, as well as Hilbert's axioms, and provide brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters.

Thinking Geometrically Reviews

This also visually very appealing book offers a wealth of geometric information together with the historical background. The author takes the reader onto a long and engrossing journey to 11 well-selected basic sites of classical and modern geometry. Geometric intuition and facility in proofs are developed. Visualization by the use of dynamic geometry software is included in many exercises and projects. - Zentrallblatt

About Thomas Q. Sibley (Saint John's University, Minnesota)

Thomas Q. Sibley is a Professor of Mathematics at Saint John's University, Minnesota. He has taught mathematics in the Democratic Republic of the Congo and Liberia as well as in the USA, and has received several teaching awards, including the Distinguished Teaching Award from the MAA, North Central Section (2003). He is a member of the American Mathematical Society, the Association for Women in Mathematics, the Society for Mathematical Biology, and the Council for Undergraduate Research.

Table of Contents

Preface; 1. Euclidean geometry; 2. Axiomatic systems; 3. Analytic geometry; 4. Non-Euclidean geometries; 5. Transformational geometry; 6. Symmetry; 7. Projective geometry; 8. Finite geometries; 9. Differential geometry; 10. Discrete geometry; 11. Epilogue; Appendix A. Definitions, postulates, common notions, and propositions from Book I of Euclid's Elements; Appendix B. SMSG axioms for Euclidean geometry; Appendix C. Hilbert's axioms for Euclidean plane geometry; Appendix D. Linear algebra summary; Appendix E. Multivariable calculus summary; Appendix F. Elements of proofs; Answers to selected exercises; Acknowledgements; Index.

Additional information

CIN1939512085VG
9781939512086
1939512085
Thinking Geometrically: A Survey of Geometries by Thomas Q. Sibley (Saint John's University, Minnesota)
Used - Very Good
Hardback
Mathematical Association of America
20151210
509
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

Customer Reviews - Thinking Geometrically