Some Adventures in Euclidean Geometry PDF Download
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Author: Michael de Villiers
Publisher: Dynamic Mathematics Learning
ISBN: 0557102952
Category : Euclid's Elements
Languages : en
Pages : 221
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Book Description
This book seeks to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric results, which have only been discovered during the past 300 years such as the Euler line, the theorems of Ceva, Napoleon, Morley, Miquel, Varignon, etc. Extensive attention is also given to the classification of the quadrilaterals from the symmetry of a side-angle duality. Many examples lend themselves excellently for exploration on computer with dynamic geometry programs such as Sketchpad. The book is addressed primarily to university or college lecturers involved in the under-graduate or in-service training of high school mathematics teachers, but may also interest teachers who are looking for enrichment material, and gifted high school mathematics pupils.
Author: Michael de Villiers
Publisher: Dynamic Mathematics Learning
ISBN: 0557102952
Category : Euclid's Elements
Languages : en
Pages : 221
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Book Description
This book seeks to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric results, which have only been discovered during the past 300 years such as the Euler line, the theorems of Ceva, Napoleon, Morley, Miquel, Varignon, etc. Extensive attention is also given to the classification of the quadrilaterals from the symmetry of a side-angle duality. Many examples lend themselves excellently for exploration on computer with dynamic geometry programs such as Sketchpad. The book is addressed primarily to university or college lecturers involved in the under-graduate or in-service training of high school mathematics teachers, but may also interest teachers who are looking for enrichment material, and gifted high school mathematics pupils.
Author: Martin A. Moskowitz
Publisher: World Scientific
ISBN: 9789812794949
Category : Mathematics
Languages : en
Pages : 122
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Book Description
Though elementary in nature, this book deals with fundamental issues in mathematics OCo number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves research topics of earlier periods. The material is very suitable both for advanced high school students and for college students interested in elementary mathematics from a higher standpoint. It will also be very useful to high school teachers seeking an overview of their subject matter. Contents: What is a Number?: The Positive Integers; The Integers; The Rational Numbers; The Real Numbers; The Integers Revisited; The Complex Numbers; Polynomials and Other Analogues of the Integers; The Algebra on a Dial; Groups, Finite Fields and Linear Algebra: Introduction to Groups and Their Actions; Applications to Finite Fields and the Theory of Numbers; Linear Algebra; Two- and Three-Dimensional Geometry and Topology: The Euclidean Case; Elliptic and Hyperbolic Geometry; Some Two- and Three-Dimensional Topology. Readership: High school and college teachers and students; college pre-calculus teachers and students; general readers with an interest in mathematics but a limited background."
Author: Istvan Lenart
Publisher:
ISBN: 9781559531030
Category : Mathematics
Languages : en
Pages : 204
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Book Description
Author: Denise Gaskins
Publisher: Tabletop Academy Press
ISBN: 1892083248
Category : Education
Languages : en
Pages : 288
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Book Description
Author: Gerry Stahl
Publisher: Lulu.com
ISBN: 1329859634
Category : Education
Languages : en
Pages : 352
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Book Description
Math games and workbooks with topics for online small groups of teachers or students to collaboratively learn dynamic geometry. The approach is based on "Translating Euclid." The many GeoGebra files used in VMT courses are pictured in the workbook. Several versions of the workbooks are available, including the version used in WinterFest 2013 and analyzed in "Translating Euclid" and "Constructing Dynamic Triangles Together." Also includes the content of a game version that is available as a GeoGebraBook.
Author: Daina Taimina
Publisher: CRC Press
ISBN: 1351402196
Category : Mathematics
Languages : en
Pages : 865
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Book Description
Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.
Author: Daina Taimina
Publisher: CRC Press
ISBN: 135140220X
Category : Mathematics
Languages : en
Pages : 211
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Book Description
Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.
Author: S. Shirali
Publisher: Universities Press
ISBN: 9788173714139
Category : Mathematics
Languages : en
Pages : 334
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Book Description
Author: Alex Bellos
Publisher: A&C Black
ISBN: 1408809591
Category : Science
Languages : en
Pages : 450
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Book Description
The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan. Packed with fascinating, eye-opening anecdotes, Alex's Adventures in Numberland is an exhilarating cocktail of history, reportage and mathematical proofs that will leave you awestruck.
Author: Marta Sved
Publisher: American Mathematical Soc.
ISBN: 1470457288
Category : Mathematics
Languages : en
Pages : 201
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Book Description
