Geometry and its applications
著者
書誌事項
Geometry and its applications
（Textbooks in mathematics）
CRC Press, 2022
3rd ed
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注記
Previous ed: Elsevier, 2006
Includes index
内容説明・目次
内容説明
This unique textbook combines traditional geometry presents a contemporary approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, introduces axiomatic, Euclidean and non-Euclidean, and transformational geometry. The text integrates applications and examples throughout. The Third Edition offers many updates, including expaning on historical notes, Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers.
The Third Edition streamlines the treatment from the previous two editions
Treatment of axiomatic geometry has been expanded
Nearly 300 applications from all fields are included
An emphasis on computer science-related applications appeals to student interest
Many new excercises keep the presentation fresh
目次
Chapter 1
The Axiomatic Method in Geometry
Chapter 2
The Eucidean Heritage
Chapter 3
Non-Euclidean Geometry
Chapter 4
Transformation Geometry I: Isometries
Chapter 5
Vectors in Geometry
Chapter 6
Transformation Geometry II: Isometries and Matrices
Chapter 7
Transformation Geometry III: Similarity, Inversion and Projections
Chapter 8
Graphs, Maps and Polyhedra
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