About this product

Product Identifiers

PublisherWiley & Sons, Incorporated, John

ISBN-101118679199

ISBN-139781118679197

eBay Product ID (ePID)170115509

Product Key Features

Number of Pages496 Pages

LanguageEnglish

Publication NameClassical Geometry : Euclidean, Transformational, Inversive, and Projective

SubjectGeometry / General, Applied, Statistics

Publication Year2014

TypeTextbook

Subject AreaMathematics, Education

AuthorA. C. F. Liu, I. E. Leonard, G. W. Tokarsky, J. E. Lewis

FormatHardcover

Dimensions

Item Height1.2 in

Item Weight29.7 Oz

Item Length9.3 in

Item Width6.2 in

Additional Product Features

Intended AudienceScholarly & Professional

Dewey Edition23

Reviews"The book is an extremely valuable compendium of elementary constructions of Euclidean geometry. The text, especially the proofs, is clearly structured and move forward in simple steps, and thus are at the one hand very suitable for a beginner in geometry and at the other hand exemplary for a teacher of geometry." ( Zentralblatt MATH , 1 October 2014)

Dewey Decimal516

Table Of ContentPreface v Part I Euclidean Geometry 1 Congruency 3 2 Concurrency 41 3 Similarity 59 4 Theorems of Ceva and Menelaus 95 5 Area 133 6 Miscellaneous Topics 159 Part II Transformational Geometry 7 The Euclidean Transformations or Isometries 207 8 The Algebra of Isometries 235 9 The Product of Direct Isometries 255 10 Symmetry and Groups 271 11 Homotheties 289 12 Tessellations 313 Part III Inversive And Projective Geometries 13 Introduction to Inversive Geometry 339 14 Reciprocation and the Extended Plane 375 15 Cross Ratios 411 16 Introduction to Projective Geometry 435 Bibliography 466 Index 471

SynopsisFeatures 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., Written by well-known mathematical problem solvers, Classical Geometry features up-to-date and applicable coverage of the wide spectrum of modern geometry and aids readers in learning the art of logical reasoning, modeling, and proof., 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 bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile 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 Menalaus 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.

LC Classification NumberQA445