Classical Geometry: Euclidean, Transformational, Inversive, and Projective Hardback - 2014
by I. E. Leonard
- New
- Hardcover
Description
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Details
- Title Classical Geometry: Euclidean, Transformational, Inversive, and Projective
- Author I. E. Leonard
- Binding Hardback
- Edition First Edition
- Condition New
- Pages 496
- Volumes 1
- Language ENG
- Publisher John Wiley & Sons
- Date 2014-04-14
- Features Bibliography, Index, Table of Contents
- Bookseller's Inventory # A9781118679197
- ISBN 9781118679197 / 1118679199
- Weight 1.75 lbs (0.79 kg)
- Dimensions 9.3 x 6.2 x 1.2 in (23.62 x 15.75 x 3.05 cm)
- Library of Congress subjects Geometry, MATHEMATICS / Applied
- Library of Congress Catalog Number 2013042035
- Dewey Decimal Code 516
From the rear cover
Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science
Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding both spatial relationships and logical reasoning. Focusing on the development of geometric intuition while avoiding the axiomatic method, a problem-solving approach is encouraged throughout.
The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes:
- Multiple entertaining and elegant geometry problems at the end of each section for every level of study
- Fully worked examples with exercises to facilitate comprehension and retention
- Unique topical coverage, such as the theorems of Ceva and Menelaus and their applications
- An approach that prepares readers for the art of logical reasoning, modeling, and proofs
The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.
