Geometry and Its Applications (Google eBook)

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Academic Press, Feb 21, 2006 - Mathematics - 560 pages
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Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters.

The Second Edition of 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.

* Realistic applications integrated throughout the text, including (but not limited to):
- Symmetries of artistic patterns
- Physics
- Robotics
- Computer vision
- Computer graphics
- Stability of architectural structures
- Molecular biology
- Medicine
- Pattern recognition
* Historical notes included in many chapters
* Instructor's Manual with solutions available for all adopters of the text
  

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Contents

1 The Axiomatic Method in Geometry
1
2 The Euclidean Heritage
37
3 NonEuclidean Geometry
103
Isometries and Symmetries
143
5 Vectors in Geometry
199
Isometries and Matrices
257
Similarity Inversion and Projection
311
8 Graphs Maps and Polyhedra
379
Bibliography
459
Answers to OddNumbered Exercises
463
Index
523
Copyright

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Page 19 - It was the habit of the Epicureans, gays Proclus, to ridicule this theorem as being evident even to an ass and requiring no proof, and their allegation that the theorem was
Page 44 - The sum of the measures of the angles of a triangle is 180°.
Page 4 - ... c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Page 42 - June, 1893. 1. Prove that if the diagonals of a quadrilateral bisect each other the figure is a parallelogram. 2. Prove that in any right-angled triangle the square on the side opposite to the right angle is equal to the sum of the squares on the other two sides. A purely geometrical proof is preferred. State fully each principle employed in the proof. 3. Given a straight line AB...
Page 33 - The volume of a rectangular parallelepiped is equal to the product of its three dimensions.

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About the author (2006)

Walter Meyer received his Ph.D. at the University of Wisconsin in 1969. He is currently a professor at Adelphi University, and visiting professor at West Point Military Academy. He has industrial experience as head of robotics research at Grumman Data Systems. He is editor of Principles and Practice of Mathematics, as well as a contributing author to For All Practical Purposes.

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