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Elementary Geometry from an Advanced Standpoint

Elementary Geometry from an Advanced Standpoint
Author: Edwin E. Moise
Publisher: Addison Wesley
Total Pages: 520
Release: 1990
Genre: Business & Economics
ISBN:

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Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.


Advanced Euclidean Geometry

Advanced Euclidean Geometry
Author: Roger A. Johnson
Publisher: Courier Corporation
Total Pages: 338
Release: 2013-01-08
Genre: Mathematics
ISBN: 048615498X

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This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.


Elementary College Geometry

Elementary College Geometry
Author: Henry Africk
Publisher:
Total Pages: 369
Release: 2004
Genre: Geometry
ISBN: 9780759341906

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Elementary Geometry

Elementary Geometry
Author: John Roe
Publisher: Clarendon Press
Total Pages: 324
Release: 1993
Genre: Language Arts & Disciplines
ISBN: 9780198534563

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This textbook provides an introduction to Euclidean geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.


Topics in Elementary Geometry

Topics in Elementary Geometry
Author: O. Bottema
Publisher: Springer Science & Business Media
Total Pages: 142
Release: 2008-12-10
Genre: Mathematics
ISBN: 0387781315

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This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.


Topics in Geometry

Topics in Geometry
Author: Robert Bix
Publisher: Elsevier
Total Pages: 549
Release: 2014-06-28
Genre: Mathematics
ISBN: 1483296466

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This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. It includes plentiful illustrations and exercises in support of the thoroughly worked-out proofs. The author's emphasis on the connections between Euclidean and non-Euclidean geometry unifies the range of topics covered. The text opens with a brief review of elementary geometry before proceeding to advanced material. Topics covered include advanced Euclidean and non-Euclidean geometry, division ratios and triangles, transformation geometry, projective geometry, conic sections, and hyperbolic and absolute geometry. Topics in Geometry includes over 800 illustrations and extensive exercises of varying difficulty.


Geometry for the Classroom

Geometry for the Classroom
Author: C.Herbert Clemens
Publisher: Springer Science & Business Media
Total Pages: 341
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461209617

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Intended for use in college courses for prospective or in-service secondary school teachers of geometry. Designed to give teachers broad preparation in the content of elementary geometry as well as closely related topics of a slightly more advanced nature. The presentation and the modular format are designed to incorporate a flexible methodology for the teaching of geometry, one that can be adapted to different classroom settings. The basic strategy is to develop the few fundamental concepts of elementary geometry, first in intuitive form, and then more rigorously. The rest of the material is then built up out of these concepts through a combination of exposition and "guided discovery" in the problem sections. A separate volume including the solutions to the exercises is also available.


Elementary Geometry

Elementary Geometry
Author: Ilka Agricola
Publisher: American Mathematical Soc.
Total Pages: 257
Release: 2008
Genre: Mathematics
ISBN: 0821843478

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Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries.