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Geometric 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 cons...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint : Springer,
1998.
New York, NY Springer New York Imprint : Springer, 1998. |
| Colección: | Undergraduate texts in mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1058103762 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr nn||||mamaa | ||
| 008 | 121227s1998 nyu ob 001 0 eng d | ||
| 040 | |a AU@ |b eng |e rda |e pn |c AU@ |d EBLCP |d YDX |d OCLCO |d OCLCQ |d OCLCO |d TKN |d OCL |d LEAUB |d OCL |d UKBTH |d OCLCQ |d UKAHL |d VT2 |d K6U |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 019 | |a 958525856 |a 968916112 |a 1113543727 |a 1262690512 | ||
| 020 | |a 1461206294 | ||
| 020 | |a 9781461206293 | ||
| 020 | |z 1461268451 | ||
| 020 | |z 9781461268451 | ||
| 024 | 7 | |a 10.1007/978-1-4612-0629-3 |2 doi | |
| 029 | 1 | |a AU@ |b 000069392991 | |
| 035 | |a (OCoLC)1058103762 |z (OCoLC)958525856 |z (OCoLC)968916112 |z (OCoLC)1113543727 |z (OCoLC)1262690512 | ||
| 050 | 4 | |a QA440-699 | |
| 072 | 7 | |a PBM |2 bicssc | |
| 072 | 7 | |a MAT012000 |2 bisacsh | |
| 082 | 0 | 4 | |a 516 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Martin, George E., |e author. | |
| 245 | 1 | 0 | |a Geometric Constructions / |c by George E. Martin. |
| 260 | |a New York, NY : |b Springer New York : |b Imprint : |b Springer, |c 1998. | ||
| 264 | 1 | |a New York, NY |b Springer New York |b Imprint : |b Springer, |c 1998. | |
| 300 | |a 1 online resource (XI, 206 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Undergraduate Texts in Mathematics, |x 0172-6056 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 546 | |a English. | ||
| 588 | 0 | |a Online resource; title from PDF title page (ebrary, viewed February 6, 2017). | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometry. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Geometrical constructions. | |
| 650 | 6 | |a Géométrie. | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 6 | |a Constructions géométriques. | |
| 650 | 7 | |a geometry. |2 aat | |
| 650 | 7 | |a mathematics. |2 aat | |
| 650 | 7 | |a applied mathematics. |2 aat | |
| 650 | 7 | |a Mathematics |2 fast | |
| 650 | 7 | |a Geometry |2 fast | |
| 650 | 7 | |a Geometrical constructions |2 fast | |
| 758 | |i has work: |a Geometric constructions (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH7wP4fjfGJpWBCgMRmCBd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | |z 1461268451 | |
| 830 | 0 | |a Undergraduate texts in mathematics. |x 0172-6056 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3075040 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH29622712 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL3075040 | ||
| 938 | |a YBP Library Services |b YANK |n 13371636 | ||
| 994 | |a 92 |b IZTAP | ||