Geometric Constructions - Couverture souple

Livre 75 sur 168: Undergraduate Texts in Mathematics

Martin, George E.

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ISBN 10 : 1461268451 ISBN 13 : 9781461268451

Editeur : Springer, 2012

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This is a text on geometric constructions--a popular area of mathematics since the time of Plato to the modern classroom. The author takes advantage of modern algebra and the resultant coordinate geometry to analyze and classify these problems. Various geometric construction tools are associated with various algebraic fields of numbers and elements of algebra are necessarily encountered while exploring the constructions.

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�diteur: Springer
Date d'�dition: 2012
Langue: anglais
ISBN 10: 1461268451
ISBN 13: 9781461268451
Reliure: Broch�
Nombre de pages: 224
Coordonn�es du fabricant: ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Allemagne

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Geometric Constructions (eng)

Martin, George E.

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ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Geometric Constructions

George E. Martin

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ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Paperback. Etat : New. Softcover reprint of the original 1st ed. 1998. N� de r�f. du vendeur LU-9781461268451

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Geometric Constructions (Undergraduate Texts in Mathematics)

Martin, George E.

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ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Geometric Constructions

Martin, George E.

Edit� par Springer 2012-10, 2012

ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Geometric Constructions

George E. Martin

Edit� par Springer, Humana Okt 2012, 2012

ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Geometric constructions have been a popular part of mathematics throughout history. The ancient Greeks made the subject an art, which was enriched by the medieval Arabs but which required the algebra of the Renaissance for a thorough understanding. Through coordinate geometry, various geometric construction tools can be associated with various fields of real numbers. This book is about these associations. As specified by Plato, the game is played with a ruler and compass. The first chapter is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never seen. The second chapter formalizes Plato's game and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, using only a compass, using toothpicks, using a ruler and dividers, using a marked rule, using a tomahawk, and ending with a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics. He hopes that readers will learn a little geometry and a little algebra while enjoying the effort. This is as much an algebra book as it is a geometry book. Since all the algebra and all the geometry that are needed is developed within the text, very little mathematical background is required to read this book. This text has been class tested for several semesters with a master's level class for secondary teachers. 224 pp. Englisch. N� de r�f. du vendeur 9781461268451

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Geometric Constructions

George E. Martin

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ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Geometric Constructions

George E. Martin

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ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Geometric constructions have been a popular part of mathematics throughout history. The ancient Greeks made the subject an art, which was enriched by the medieval Arabs but which required the algebra of the Renaissance for a thorough understanding. Through . N� de r�f. du vendeur 4189482

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Geometric Constructions (Undergraduate Texts in Mathematics)

George E. Martin

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ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Paperback. Etat : Brand New. reprint edition. 203 pages. 9.50x6.50x0.50 inches. In Stock. N� de r�f. du vendeur x-1461268451

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Geometric Constructions

George E. Martin

Edit� par Springer, Humana Okt 2012, 2012

ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This is a text on geometric constructions--a popular area of mathematics since the time of Plato to the modern classroom. The author takes advantage of modern algebra and the resultant coordinate geometry to analyze and classify these problems. Various geometric construction tools are associated with various algebraic fields of numbers and elements of algebra are necessarily encountered while exploring the constructions.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 224 pp. Englisch. N� de r�f. du vendeur 9781461268451

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Geometric Constructions

George E. Martin

Edit� par Springer, Humana, 2012

ISBN 10 : 1461268451 ISBN 13 : 9781461268451

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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Geometric constructions have been a popular part of mathematics throughout history. The ancient Greeks made the subject an art, which was enriched by the medieval Arabs but which required the algebra of the Renaissance for a thorough understanding. Through coordinate geometry, various geometric construction tools can be associated with various fields of real numbers. This book is about these associations. As specified by Plato, the game is played with a ruler and compass. The first chapter is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never seen. The second chapter formalizes Plato's game and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, using only a compass, using toothpicks, using a ruler and dividers, using a marked rule, using a tomahawk, and ending with a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics. He hopes that readers will learn a little geometry and a little algebra while enjoying the effort. This is as much an algebra book as it is a geometry book. Since all the algebra and all the geometry that are needed is developed within the text, very little mathematical background is required to read this book. This text has been class tested for several semesters with a master's level class for secondary teachers. N� de r�f. du vendeur 9781461268451

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