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Geometric Constructions by George E. Martin HC 1997

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Características del artículo

Estado
Como nuevo: Libro en perfecto estado y poco leído. La tapa no tiene desperfectos y si procede, con ...
ISBN
9780387982762

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Product Identifiers

Publisher
Springer New York
ISBN-10
0387982760
ISBN-13
9780387982762
eBay Product ID (ePID)
396341

Product Key Features

Number of Pages
Xi, 206 Pages
Publication Name
Geometric Constructions
Language
English
Publication Year
1997
Subject
Geometry / General
Type
Textbook
Author
George E. Martin
Subject Area
Mathematics
Series
Undergraduate Texts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.2 in
Item Weight
38.4 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
97-022885
Dewey Edition
21
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516
Table Of Content
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.
Synopsis
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., Written in an informal style that intersperses history and philosophy with mathematics, this class-tested, self-contained book demonstrates how some simple construction tools can be associated with various fields of real numbers through coordinate geometry., 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.
LC Classification Number
QA440-699

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    Shipping was quick, packaging was excellent, condition was acceptable as described -- binding loose but pages intact. I did message buyer asking about mold and didn't receive a reply -- luckily, there appears to be no mold. Great value for a 100+ yr old book!
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    I received my book in absolutely pristine condition, better than described! Which is impressive because the copy is from 1930 and it looks like it has never been handled. It shipped very quickly, even faster than the estimated time given by a week. It was packaged very carefully. The book and shipping price was also very fair considering the age and condition of the book and the shipping speed. I am very pleased with this seller and will be ordering from them again in the future.
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    I am always a little nervous when ordering books off of eBay but this seller has provided me with an EXCELLENT purchasing experience! The packaging was superior and I am grateful because this is a signed first edition and we all know how the post office can be at times. The Shipping was timely and the item actually arrived quicker than expected. The item EXCEEDED the description. It is stunning. I have dropped it off at my antiquarian for authors signature verification but the value is high.