Some Adventures In Euclidean Geometry

Author : Michael de Villiers
Publisher : Dynamic Mathematics Learning
Page : 221 pages
File Size : 50,9 Mb
Release : 2009-09-08
Category : Euclid's Elements
ISBN : 9780557102952

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Some Adventures in Euclidean Geometry by Michael de Villiers Pdf

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
Page : 122 pages
File Size : 52,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9812794948

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Adventures in Mathematics by Martin A. Moskowitz Pdf

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 : Anthony Ravielli
Publisher : Unknown
Page : 122 pages
File Size : 47,6 Mb
Release : 1960
Category : Electronic
ISBN : 8210379456XXX

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An Adventure in Geometry by Anthony Ravielli Pdf

Author : S. Shirali
Publisher : Universities Press
Page : 334 pages
File Size : 55,6 Mb
Release : 2002-10
Category : Mathematics
ISBN : 8173714134

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Adventures in Problem Solving by S. Shirali Pdf

Author : Daina Taimina
Publisher : CRC Press
Page : 211 pages
File Size : 45,7 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9781351402200

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Crocheting Adventures with Hyperbolic Planes by Daina Taimina Pdf

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 : Gerry Stahl
Publisher : Lulu.com
Page : 352 pages
File Size : 42,6 Mb
Release : 2015-10-06
Category : Education
ISBN : 9781329859630

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Adventures in Dynamic Geometry by Gerry Stahl Pdf

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 : Yusuf Sayed
Publisher : AFRICAN SUN MeDIA
Page : 308 pages
File Size : 47,8 Mb
Release : 2018-11-30
Category : Education
ISBN : 9781928357971

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Learning to teach in post-apartheid South Africa by Yusuf Sayed Pdf

Teacher education programmes seek to provide student teachers with the knowledge and expertise to provide qualtiy teaching and learning in a diverse and challenging school context. Learning to Teach in post-apartheid South Africa: Student Teachers' Encounters with Initial Teacher Education addresses the complexities of teacher education programmes in preparing students to teach. It adds to the knowledge about teacher education, contributing critical understanding of education and the schooling system. The book provides important insights to deepen researchers, academics, teacher education providers, policy-makers, and students' understanding of the importance to address equity, redress, and quality in South African educaiton in a post-apartheid era. This book further helps to build student teachers' capacities to work creatively and to become active and critical agents of transformation. It ultimately outlines the challenges face in designing and delivering successful Inital Teacher Education programmes, and the impact this has on delivering equitable and qualtiy education.

Author : Istvan Lenart
Publisher : Unknown
Page : 204 pages
File Size : 53,5 Mb
Release : 1995-11-01
Category : Mathematics
ISBN : 1559531037

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Non-Euclidean Adventures on the Lenart Sphere by Istvan Lenart Pdf

Author : Amos Nussinovitch,Madoka Hirashima
Publisher : John Wiley & Sons
Page : 325 pages
File Size : 50,6 Mb
Release : 2023-02-28
Category : Technology & Engineering
ISBN : 9781119700821

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Use of Hydrocolloids to Control Food Appearance, Flavor, Texture, and Nutrition by Amos Nussinovitch,Madoka Hirashima Pdf

Use of Hydrocolloids to Control Food Appearance, Flavor, Texture, and Nutrition A thoroughly up-to-date and forward-looking presentation of the use of hydrocolloids in food In Use of Hydrocolloids to Control Food Appearance, Flavor, Texture, and Nutrition, a team of distinguished food researchers combines comprehensive and authoritative discussions on the conventional use of hydrocolloids to influence shape, structure and organoleptic properties of foods with exciting and emerging areas of innovation, such as texturing for 3D printing and enhancement of food nutrition. The book explores the four principal quality factors of food: appearance, flavor, texture and nutrition, and introduces students and food technologists to the myriad uses of hydrocolloids. It also presents illustrations of relevant commercial food products that rely on hydrocolloids for their appeal, as well as recipes exemplifying the unique abilities of particular hydrocolloids. Readers will also find: A thorough introduction to the use of hydrocolloids to control food size and shape, including the manipulation of select geometrical properties of foods A comprehensive exploration of the use of hydrocolloids to modulate food color and gloss, including the psychological impact of those properties Practical discussions pertaining to the modification of food taste and odor using hydrocolloids A thorough description of the ways in which hydrocolloids are used to improve crispy, crunchy and crackly foods Perfect for food scientists working in product development and food engineers, Use of Hydrocolloids to Control Food Appearance, Flavor, Texture, and Nutrition is sure to earn a place in the libraries of research chefs, as well as food chemists, food microbiologists and food technologists.

Author : Alfred North Whitehead
Publisher : Simon and Schuster
Page : 324 pages
File Size : 50,7 Mb
Release : 1933
Category : Civilization
ISBN : 9780029351703

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Adventures of Ideas by Alfred North Whitehead Pdf

History of the human race from the point of view of mankind's changing ideas--sociological, cosmological, philosophica.

Author : Anonim
Publisher : Unknown
Page : 203 pages
File Size : 41,6 Mb
Release : 2013
Category : Electronic
ISBN : 9630845296

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Non-euclidean Adventures on the Lénárt Sphere by Anonim Pdf

Author : Gerard A. Venema
Publisher : American Mathematical Soc.
Page : 129 pages
File Size : 43,8 Mb
Release : 2013-12-31
Category : Mathematics
ISBN : 9781614441113

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Exploring Advanced Euclidean Geometry with GeoGebra by Gerard A. Venema Pdf

This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.

Author : Catherine A. Gorini
Publisher : Infobase Publishing
Page : 289 pages
File Size : 55,5 Mb
Release : 2014-05-14
Category : Mathematics
ISBN : 9781438109572

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The Facts on File Geometry Handbook by Catherine A. Gorini Pdf

Contains a history of the subject of geometry, including more than 3,000 entries providing definitions and explanations of related topics, plus brief biographies of over 300 scientists.

Author : Shlomo Libeskind
Publisher : Jones & Bartlett Learning
Page : 382 pages
File Size : 49,9 Mb
Release : 2008-02-12
Category : Mathematics
ISBN : 9780763743666

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Euclidean and Transformational Geometry by Shlomo Libeskind Pdf

Ideal for mathematics majors and prospective secondary school teachers, Euclidean and Transformational Geometry provides a complete and solid presentation of Euclidean geometry with an emphasis on solving challenging problems. The author examines various strategies and heuristics for approaching proofs and discusses the process students should follow to determine how to proceed from one step to the next through numerous problem solving techniques. A large collection of problems, varying in level of difficulty, are integrated throughout the text and suggested hints for the more challenging problems appear in the instructor's solutions manual and can be used at the instructor's discretion.

Author : Kevin K. J. Durand
Publisher : University Press of America
Page : 310 pages
File Size : 52,5 Mb
Release : 2002
Category : Biography & Autobiography
ISBN : 0761823514

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Sidgwick's Utility and Whitehead's Virtue by Kevin K. J. Durand Pdf

Durand, not identified, examines the historical, philosophical, and theoretical development of Alfred North Whitehead's ethics; explores his ethical commitments in comparison with the leading views of his day and the contemporary philosophical scene, particularly the Utilitarian thought of Henry Sidgwick; and how his views allow philosophers to overcome some of the persistent problems of philosophy. Annotation copyrighted by Book News, Inc., Portland, OR.