Hardcover ISBN:  9781939512086 
Product Code:  TEXT/26 
List Price:  $79.00 
MAA Member Price:  $59.25 
AMS Member Price:  $59.25 
eBook ISBN:  9781614446194 
Product Code:  TEXT/26.E 
List Price:  $69.00 
MAA Member Price:  $51.75 
AMS Member Price:  $51.75 
Hardcover ISBN:  9781939512086 
eBook: ISBN:  9781614446194 
Product Code:  TEXT/26.B 
List Price:  $148.00 $113.50 
MAA Member Price:  $111.00 $85.13 
AMS Member Price:  $111.00 $85.13 
Hardcover ISBN:  9781939512086 
Product Code:  TEXT/26 
List Price:  $79.00 
MAA Member Price:  $59.25 
AMS Member Price:  $59.25 
eBook ISBN:  9781614446194 
Product Code:  TEXT/26.E 
List Price:  $69.00 
MAA Member Price:  $51.75 
AMS Member Price:  $51.75 
Hardcover ISBN:  9781939512086 
eBook ISBN:  9781614446194 
Product Code:  TEXT/26.B 
List Price:  $148.00 $113.50 
MAA Member Price:  $111.00 $85.13 
AMS Member Price:  $111.00 $85.13 

Book DetailsAMS/MAA TextbooksVolume: 26; 2015; 559 pp
This is a well written and comprehensive survey of college geometry that would serve a wide variety of courses for both mathematics majors and mathematics education majors. Great care and attention is spent on developing visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Students with less mathematical preparation than upperdivision mathematics majors can successfully study the topics needed for the preparation of high school teachers.
There is a multitude of exercises and projects in those chapters developing all aspects of geometric thinking for these students as well as for more advanced students. These chapters include Euclidean Geometry, Axiomatic Systems and Models, Analytic Geometry, Transformational Geometry, and Symmetry. Topics in the other chapters, including NonEuclidean Geometry, Projective Geometry, Finite Geometry, Differential Geometry, and Discrete Geometry, provide a broader view of geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics.
The text is selfcontained, including appendices with the material in Euclid's first book and a high school axiomatic system as well as Hilbert's axioms. Appendices give brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters. While some chapters use the language of groups, no prior experience with abstract algebra is presumed. The text will support an approach emphasizing dynamical geometry software without being tied to any particular software.
Ancillaries:

Table of Contents

Chapters

Chapter 1. Euclidean Geometry

Chapter 2. Axiomatic Systems

Chapter 3. Analytic Geometry

Chapter 4. NonEuclidean Geometries

Chapter 5. Transformational Geometry

Chapter 6. Symmetry

Chapter 7. Projective Geometry

Chapter 8. Finite Geometries

Chapter 9. Differential Geometry

Chapter 10. Discrete Geometry

Chapter 11. Epilogue

A. Definitions, Postulates, Common Notions, and Propositions from Book I of Euclid’s Elements

B. SMSG Axioms for Euclidean Geometry

C. Hilbert’s Axioms for Euclidean Plane Geometry

D. Linear Algebra Summary

E. Multivariable Calculus Summary

F. Elements of Proofs


Additional Material

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 wellselected 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


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This is a well written and comprehensive survey of college geometry that would serve a wide variety of courses for both mathematics majors and mathematics education majors. Great care and attention is spent on developing visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Students with less mathematical preparation than upperdivision mathematics majors can successfully study the topics needed for the preparation of high school teachers.
There is a multitude of exercises and projects in those chapters developing all aspects of geometric thinking for these students as well as for more advanced students. These chapters include Euclidean Geometry, Axiomatic Systems and Models, Analytic Geometry, Transformational Geometry, and Symmetry. Topics in the other chapters, including NonEuclidean Geometry, Projective Geometry, Finite Geometry, Differential Geometry, and Discrete Geometry, provide a broader view of geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics.
The text is selfcontained, including appendices with the material in Euclid's first book and a high school axiomatic system as well as Hilbert's axioms. Appendices give brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters. While some chapters use the language of groups, no prior experience with abstract algebra is presumed. The text will support an approach emphasizing dynamical geometry software without being tied to any particular software.
Ancillaries:

Chapters

Chapter 1. Euclidean Geometry

Chapter 2. Axiomatic Systems

Chapter 3. Analytic Geometry

Chapter 4. NonEuclidean Geometries

Chapter 5. Transformational Geometry

Chapter 6. Symmetry

Chapter 7. Projective Geometry

Chapter 8. Finite Geometries

Chapter 9. Differential Geometry

Chapter 10. Discrete Geometry

Chapter 11. Epilogue

A. Definitions, Postulates, Common Notions, and Propositions from Book I of Euclid’s Elements

B. SMSG Axioms for Euclidean Geometry

C. Hilbert’s Axioms for Euclidean Plane Geometry

D. Linear Algebra Summary

E. Multivariable Calculus Summary

F. Elements of Proofs

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 wellselected 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