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.; PDF; Scientific, Technical and Medical > Mathematics > Algebra, Springer New York<
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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<
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Geometric Constructions ab 50.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, Springer New York<
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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.; PDF; Scientific, Technical and Medical > Mathematics > Algebra, Springer New York<
No. 9781461206293. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
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<
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Geometric Constructions ab 50.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft >… Mehr…
Geometric Constructions ab 50.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, Springer New York<
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EAN (ISBN-13): 9781461206293 Erscheinungsjahr: 2012 Herausgeber: Springer New York
Buch in der Datenbank seit 2016-04-28T16:21:47+02:00 (Berlin) Detailseite zuletzt geändert am 2023-10-24T19:01:28+02:00 (Berlin) ISBN/EAN: 9781461206293
ISBN - alternative Schreibweisen: 978-1-4612-0629-3 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: george martin
Daten vom Verlag:
Autor/in: George E. Martin Titel: Undergraduate Texts in Mathematics; Geometric Constructions Verlag: Springer; Springer US 206 Seiten Erscheinungsjahr: 2012-12-06 New York; NY; US Sprache: Englisch 50,28 € (DE) 51,70 € (AT) 55,50 CHF (CH) Available XI, 206 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Geometrie; Geometrie; Verstehen; Mathematica; Scratch; algebra; boundary element method; class; construction; form; geometry; history of mathematics; mathematics; philosophy; real number; story; theorem; tool; B; Geometry; Mathematics and Statistics; BC
1 Euclidean Constructions.- 2 The Ruler and Compass.- 3 The Compass and the Mohr-Mascheroni Theorem.- 4 The Ruler.- 5 The Ruler and Dividers.- 6 The Poncelet-Steiner Theorem and Double Rulers.- 7 The Ruler and Rusty Compass.- 8 Sticks.- 9 The Marked Ruler.- 10 Paperfolding.- The Back of the Book.- Suggested Reading and References. 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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