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Geometry from Euclid to Knots (Dover Books on Mathematics) by Stahl, Saul; is a nonfiction available to read on EtoBox.

What is Geometry from Euclid to Knots (Dover Books on Mathematics) about?

Cover; Title Page; Copyright Page; Dedication; Contents; Preface to the Dover Edition; Preface; 1 Other Geometries: A Computational Introduction; 1.1 Spherical Geometry; 1.2 Hyperbolic Geometry; 1.3 Other Geometries; 2 The Neutral Geometry of the Triangle; 2.1 Introduction; 2.2 Preliminaries; 2.3 Propositions 1 through 28; 2.4 Postulate 5 Revisited; 3 Nonneutral Euclidean Geometry; 3.1 Parallelism; 3.2 Area; 3.3 The Theorem of Pythagoras; 3.4 Consequences of the Theorem of Pythagoras; 3.5 Proportion and Similarity; 4 Circles and Regular Polygons; 4.1 The Neutral Geometry of the Circle.;Designed to inform readers about the formal development of Euclidean geometry and to prepare prospective high school mathematics instructors to teach Euclidean geometry, this text closely follows Euclid's classic, Elements. The text augments Euclid's statements with appropriate historical commentary and many exercises - more than 1,000 practice exercises provide readers with hands-on experience in solving geometrical problems. In addition to providing a historical perspective on plane geometry, this text covers non-Euclidean geometries, allowing students to cultivate an appreciation of axiomatic syst

Who reads Geometry from Euclid to Knots (Dover Books on Mathematics)?

Author

Stahl, Saul;

Publisher

Dover Publications, Incorporated

Published

2012

Language

EN

ISBN

9780486134987

Category

nonfiction

Subjects

Mathematics, Science, Stem