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Geometric Constructions Paperback George E. Martin
Free US Delivery | ISBN:1461268451
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eBay-Artikelnr.:317071010031
Artikelmerkmale
- Artikelzustand
- Neuwertig
- Hinweise des Verkäufers
- “Used book that is in almost brand-new condition. 100% Money-Back Guarantee.”
- Book Title
- Geometric Constructions Paperback George E. Martin
- ISBN
- 9781461268451
Über dieses Produkt
Product Identifiers
Publisher
Springer New York
ISBN-10
1461268451
ISBN-13
9781461268451
eBay Product ID (ePID)
160172093
Product Key Features
Number of Pages
Xi, 206 Pages
Publication Name
Geometric Constructions
Language
English
Publication Year
2012
Subject
Geometry / General
Type
Textbook
Subject Area
Mathematics
Series
Undergraduate Texts in Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.2 in
Item Weight
12.3 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
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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- c***m (434)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufAAA+++; Excellent Service; Great Pricing; Fast Delivery-Faster Than Expected to Hawaii , Received 07/27; Paperback book in Great Condition as Described ; TLC Packaging; Excellent Seller Communication, Sends updates . Highly Recommended!, Thank you very much!
- e***g (59)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufExcellent prices on used books in great condition. Shipped out quickly. Product condition is accurate to rating in listing. Thanks! NOTE: For this particular book (I ordered several), it came in a soft cover rather than hard cover as the listing stated. I contacted the seller and they responded promptly. They agreed that it was a listing error and provided me with a full refund for this book (without return required) proving they are both a responsible and trustworthy seller.The Game Hardcover Ken Dryden (Nr. 277097212658)
- 0***1 (1574)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufThis book arrived within the time period given and was in the 'very good' condition described. Unfortunately, only being packaged in a plastic bag to traverse the Atlantic meant that all four corners got a battering (I would be happy to pay bit more in future for a bit of cardboard support in packaging) but all in all, the price was good and overall service for books that are difficult to get over here, I am very happy with this purchase and would recommend this seller. Will buy again from them.
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