Euclidean Geometry And Transformations
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Euclidean Geometry And Transformations
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Author : Clayton W. Dodge
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Euclidean Geometry And Transformations written by Clayton W. Dodge and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.
This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
Geometric Transformations
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Author : Răzvan Gelca
language : en
Publisher: Springer Nature
Release Date : 2022-02-16
Geometric Transformations written by Răzvan Gelca and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-16 with Mathematics categories.
This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems. It is based on the combined teaching experience of the authors (coaches of several Mathematical Olympiad teams in Brazil, Romania and the USA) and presents comprehensive theoretical discussions of isometries, homotheties and spiral similarities, and inversions, all illustrated by examples and followed by myriad problems left for the reader to solve. These problems were carefully selected and arranged to introduce students to the topics by gradually moving from basic to expert level. Most of them have appeared in competitions such as Mathematical Olympiads or in mathematical journals aimed at an audience interested in mathematics competitions, while some are fundamental facts of mathematics discussed in the framework of geometric transformations. The book offers a global view of the geometric content of today's mathematics competitions, bringing many new methods and ideas to the attention of the public. Talented high school and middle school students seeking to improve their problem-solving skills can benefit from this book, as well as high school and college instructors who want to add nonstandard questions to their courses. People who enjoy solving elementary math problems as a hobby will also enjoy this work.
Geometric Transformations Iv
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Author : I. M. Yaglom
language : en
Publisher: MAA
Release Date : 2009-10-15
Geometric Transformations Iv written by I. M. Yaglom and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-15 with Mathematics categories.
A comprehensive treatment of the geometry of circular transformations.
Transformation Geometry
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Author : George E. Martin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Transformation Geometry written by George E. Martin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.
Geometry Of Complex Numbers
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Author : Hans Schwerdtfeger
language : en
Publisher: Courier Corporation
Release Date : 1979-01-01
Geometry Of Complex Numbers written by Hans Schwerdtfeger and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-01-01 with Mathematics categories.
Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries. "This book should be in every library, and every expert in classical function theory should be familiar with this material. The author has performed a distinct service by making this material so conveniently accessible in a single book." — Mathematical Review.
Euclidean And Transformational Geometry A Deductive Inquiry
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Author : Shlomo Libeskind
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2008-02-12
Euclidean And Transformational Geometry A Deductive Inquiry written by Shlomo Libeskind and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-12 with Mathematics categories.
Ideal for mathematics majors and prospective secondary school teachers, Euclidean and Transformational Geometry provides a complete and solid presentation of Euclidean geometry with an emphasis on solving challenging problems. The author examines various strategies and heuristics for approaching proofs and discusses the process students should follow to determine how to proceed from one step to the next through numerous problem solving techniques. A large collection of problems, varying in level of difficulty, are integrated throughout the text and suggested hints for the more challenging problems appear in the instructor's solutions manual and can be used at the instructor's discretion.
Euclidean And Non Euclidean Geometries
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Author : Maria Helena Noronha
language : en
Publisher:
Release Date : 2002
Euclidean And Non Euclidean Geometries written by Maria Helena Noronha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book develops a self-contained treatment of classical Euclidean geometry through both axiomatic and analytic methods. Concise and well organized, it prompts readers to prove a theorem yet provides them with a framework for doing so. Chapter topics cover neutral geometry, Euclidean plane geometry, geometric transformations, Euclidean 3-space, Euclidean n-space; perimeter, area and volume; spherical geometry; hyperbolic geometry; models for plane geometries; and the hyperbolic metric.
Euclidean And Affine Transformations
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Author : P. S. Modenov
language : en
Publisher:
Release Date : 1965
Euclidean And Affine Transformations written by P. S. Modenov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Vectors And Transformations In Plane Geometry
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Author : Philippe Tondeur
language : en
Publisher:
Release Date : 1993
Vectors And Transformations In Plane Geometry written by Philippe Tondeur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Continuous Symmetry
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Author : William H. Barker
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Continuous Symmetry written by William H. Barker and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Geometry, Modern categories.
The fundamental idea of geometry is that of symmetry. With that principle as the starting point, Barker and Howe begin an insightful and rewarding study of Euclidean geometry. The primary focus of the book is on transformations of the plane. The transformational point of view provides both a path for deeper understanding of traditional synthetic geometry and tools for providing proofs that spring from a consistent point of view. As a result, proofs become more comprehensible, as techniques can be used and reused in similar settings. The approach to the material is very concrete, with complete explanations of all the important ideas, including foundational background. The discussions of the nine-point circle and wallpaper groups are particular examples of how the strength of the transformational point of view and the care of the authors' exposition combine to give a remarkable presentation of topics in geometry. This text is for a one-semester undergraduate course on geometry. It is richly illustrated and contains hundreds of exercises.