The First Six Books Of The Elements Of Euclid

Author: Oliver Byrne
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ISBN:
File Size: 61,19 MB
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The First Six Books Of The Elements Of Euclid In Which Coloured Diagrams And Symbols Are Used Instead Of Letters For The Greater Ease Of Learners

Author: Oliver Byrne
Publisher:
ISBN: 9781296702823
File Size: 70,25 MB
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The First Six Books Of The Elements Of Euclid

Author: Oliver Byrne
Publisher: Forgotten Books
ISBN: 9781528284974
File Size: 30,75 MB
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Excerpt from The First Six Books of the Elements of Euclid: In Which Coloured Diagrams and Symbols Are Used Instead of Letters for the Greater Ease of Learners Such is the expedition of this enticing mode of commu nicating knowledge, that the Elements of Euclid can be acquired in lefs than one third the time ufually employed, and the retention by the memory is much more permanent; thefe facts have been afcertained by numerous experiments made by the inventor, and feveral others who have adopted his plans. The particulars of which are few and Obvious; the letters annexed to points, lines, or other parts of a dia gram are in faet but arbitrary names, and reprefent them in the demonfiration; infiead of thefe, the parts being differ ently coloured, are made B to name themfelves, for their forms in correfpond ing colours represent them in the demonf'tration. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Euclid S Elements

Author: Euclid
Publisher: Green Lion Pr
ISBN:
File Size: 62,62 MB
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The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy sewn hardcover student and teacher edition in one volume, with minimal notes and a new index/glossary.

Beautiful Geometry

Author: Eli Maor
Publisher: Princeton University Press
ISBN: 1400848334
File Size: 55,68 MB
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If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

Sacred Mathematics

Author: Hidetoshi Fukagawa
Publisher: Princeton University Press
ISBN: 9780691127453
File Size: 69,91 MB
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"An enchanting history of Japanese geometry--of a time and place where 'geometers did not cede place to poets.' This intersection of science and culture, of the mathematical, the artistic, and the spiritual, is packed, like circles within circles, with rewarding Aha! epiphanies that drive a mathematician's curiosity."--Siobhan Roberts, author of "King of Infinite Space" "Teachers will welcome this remarkable collection of mathematical problems, history, and art, which will enrich their curriculum and promote both logical thinking and critical evaluation. It is especially important that we maintain an interest in geometry, which needs, and for once gets, more than its share."--Richard Guy, coauthor of "The Book of Numbers" "This remarkable book provides a novel insight into the Japanese mathematics of the past few hundred years. It is fascinating to see the difference in mathematical style from that which we are used to in the Western world, but the book also elegantly illustrates the cross-cultural Platonic nature and profound beauty of mathematics itself."--Roger Penrose, author of "The Road to Reality" "A significant contribution to the history of mathematics. The wealth of mathematical problems--from the very simple to quite complex ones--will keep the interested reader busy for years. And the beautiful illustrations make this book a work of art as much as of science. Destined to become a classic!"--Eli Maor, author of "The Pythagorean Theorem: A 4,000-Year History" "A pleasure to read. "Sacred Mathematics" brings to light the unique style and character of geometry in the traditional Japanese sources--in particular the "sangaku" problems. These problems range from trivial to utterly devilish. I found myself captivated by them, and regularly astounded by the ingenuity and sophistication of many of the traditional solutions."--Glen Van Brummelen, coeditor of "Mathematics and the Historian's Craft"

Ruler And Compass

Author: Andrew Sutton
Publisher: Bloomsbury Publishing USA
ISBN: 0802717764
File Size: 73,50 MB
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An introduction to geometry without measurements.

Reverse Mathematics

Author: John Stillwell
Publisher: Princeton University Press
ISBN: 1400889030
File Size: 17,87 MB
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This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last forty years has a systematic approach been developed. In Reverse Mathematics, John Stillwell gives a representative view of this field, emphasizing basic analysis—finding the “right axioms” to prove fundamental theorems—and giving a novel approach to logic. Stillwell introduces reverse mathematics historically, describing the two developments that made reverse mathematics possible, both involving the idea of arithmetization. The first was the nineteenth-century project of arithmetizing analysis, which aimed to define all concepts of analysis in terms of natural numbers and sets of natural numbers. The second was the twentieth-century arithmetization of logic and computation. Thus arithmetic in some sense underlies analysis, logic, and computation. Reverse mathematics exploits this insight by viewing analysis as arithmetic extended by axioms about the existence of infinite sets. Remarkably, only a small number of axioms are needed for reverse mathematics, and, for each basic theorem of analysis, Stillwell finds the “right axiom” to prove it. By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.

The First Six Books Of The Elements Of Euclid

Author: Oliver Byrne
Publisher: CreateSpace
ISBN: 9781507641835
File Size: 40,81 MB
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The First Six Books of the Elements of Euclid By Oliver Byrne

Euclid The Man Who Invented Geometry

Author: Shoo Rayner
Publisher: Lulu.com
ISBN: 1908944099
File Size: 45,93 MB
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