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Sinopsis
A novel approach to the elucidation of Euclidean geometry, this book uses a variety of mathematical methods rather than focusing solely on the building of geometries from axiom sets. It is ideal as an undergraduate textbook or as a reference for secondary school teachers.
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Contraportada
Methods for Euclidean Geometry explores one of the oldest and most beautiful of mathematical subjects. The book begins with a thorough presentation of classical solution methods for plane geometry problems, but its distinguishing feature is the subsequent collection of methods which have appeared since 1600. For example, the coordinate method, which is a central part of the book, has been part of mathematics for four centuries. However, it has rarely served as a tool that students consider using when faced with geometry problems. The same holds true regarding the use of trigonometry, vectors, complex numbers, and transformations. The book presents each of these as self-contained topics, providing examples of their applications to geometry problems. Both strengths and weaknesses of various methods, as well as the ranges of their effective applications, are discussed. Importance is placed on the problems and their solutions. The book contains numerous problems of varying difficulty; over a third of its contents are devoted to problem statements, hints, and complete solutions. The book can be used as a textbook for geometry courses; as a source book for geometry and other mathematics courses; for capstone, problem-solving, and enrichment courses; and for independent study courses.
Biografía del autor
Owen Byers studied for his BA (1989) in Mathematics, with secondary education certification, at Messiah College, Grantham, PA. He then went on to gain both his MS (1991) and Ph.D. (1996) in Mathematics from the University of Delaware. He previously taught for three years at Northwestern College, Orange City, IA. Currently he is Professor of Mathematics at Eastern Mennonite University, where he has been for 12 years. He is a member of MAA and ACMS.
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- EditorialThe Mathematical Association of America
- Año de publicación2010
- ISBN 10 0883857634
- ISBN 13 9780883857632
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas476
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Methods for Euclidean Geometry (Classroom Resource Materials)
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The Mathematical Association of America (edition ), 2010
ISBN 10: 0883857634
ISBN 13: 9780883857632
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Methods for Euclidean Geometry
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ISBN 10: 0883857634
ISBN 13: 9780883857632
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Methods for Euclidean Geometry (Classroom Resource Materials)
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ISBN 13: 9780883857632
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Methods for Euclidean Geometry (Classroom Resource Materials)
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ISBN 13: 9780883857632
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Methods for Euclidean Geometry (Classroom Resource Materials)
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ISBN 13: 9780883857632
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Methods for Euclidean Geometry (Classroom Resource Materials)
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Methods for Euclidean Geometry (Classroom Resource Materials)
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Methods for Euclidean Geometry
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Methods for Euclidean Geometry (Classroom Resource Materials)
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Methods for Euclidean Geometry
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ISBN 13: 9780883857632
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