2012, ISBN: 9781461268451

Kartoniert, 224 Seiten, 235mm x 155mm x 13mm, Sprache(n): eng This is a text on geometric constructions--a popular area of mathematics since the time of Plato to the modern classroom. The… Mehr…

Kartoniert, 224 Seiten, 235mm x 155mm x 13mm, Sprache(n): eng 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.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. Versandkostenfreie Lieferung Mathematica, Scratch, Algebra, Boundary Element Method, class, Construction, Form, Geometry, History of mathematics, mathematics, Philosophy, real number, story, theorem, tool<

2012, ISBN: 1461268451

[EAN: 9781461268451], Neubuch, [SC: 0.0], [PU: Springer New York], MATHEMATICA; SCRATCH; ALGEBRA; BOUNDARY ELEMENT METHOD; CLASS; CONSTRUCTION; FORM; GEOMETRY; HISTORY OF MATHEMATICS; PHI… Mehr…

[EAN: 9781461268451], Neubuch, [SC: 0.0], [PU: Springer New York], MATHEMATICA; SCRATCH; ALGEBRA; BOUNDARY ELEMENT METHOD; CLASS; CONSTRUCTION; FORM; GEOMETRY; HISTORY OF MATHEMATICS; PHILOSOPHY; REAL NUMBER; STORY; THEOREM; TOOL, 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., Books<

ISBN: 9781461268451

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… Mehr…

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., Springer<

2012, ISBN: 1461268451

Softcover reprint of the original 1st ed. 1998 Kartoniert / Broschiert Mathematica; Scratch; Algebra; Boundary Element Method; class; Construction; Form; Geometry; History of mathematic… Mehr…

Softcover reprint of the original 1st ed. 1998 Kartoniert / Broschiert Mathematica; Scratch; Algebra; Boundary Element Method; class; Construction; Form; Geometry; History of mathematics; mathematics; Philosophy; real number; story; theorem; tool, mit Schutzumschlag 11, [PU:Springer New York; Springer US]<

ISBN: 9781461268451

Geometric Constructions ab 50.49 € als Taschenbuch: Softcover reprint of the original 1st ed. 1998. Aus dem Bereich: Bücher, Wissenschaft, Mathematik, Medien > Bücher nein Buch (kartonier… Mehr…

Geometric Constructions ab 50.49 € als Taschenbuch: Softcover reprint of the original 1st ed. 1998. Aus dem Bereich: Bücher, Wissenschaft, Mathematik, Medien > Bücher nein Buch (kartoniert) Hardcover;Naturwissenschaften, Medizin, Informatik, Technik;Geometrie, Springer New York<