byrne six books of euclid bibliotheca universalis

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The First Six Books Of The Elements Of Euclid

Author : Oliver Byrne
ISBN : OXFORD:590345095
Genre : Elements
File Size : 77. 71 MB
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Famous Problems Of Geometry And How To Solve Them

Author : Benjamin Bold
ISBN : 9780486137636
Genre : Science
File Size : 71. 96 MB
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Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.

How I Wish I D Taught Maths

Author : Craig Barton
ISBN : 1911382497
Genre : Mathematics
File Size : 48. 65 MB
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Craig Barton is one of the world's most respected teachers of mathematics. In his remarkable new book, he explains how he has delved into the world of academic research and emerged with a range of simple, practical, effective strategies to save time and energy and have a positive impact on the long-term learning and enjoyment of students.

Ruler And Compass

Author : Andrew Sutton
ISBN : 9780802717764
Genre : Mathematics
File Size : 25. 41 MB
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An introduction to geometry without measurements.

A Budget Of Paradoxes

Author : Augustus De Morgan
ISBN : UVA:X000398147
Genre : Philosophy
File Size : 24. 39 MB
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Reverse Mathematics

Author : John Stillwell
ISBN : 9781400889037
Genre : Mathematics
File Size : 85. 23 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.

Sacred Mathematics

Author : Hidetoshi Fukagawa
ISBN : 069112745X
Genre : Art
File Size : 37. 83 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"

Euclid S Elements

Author : Euclid
ISBN : CORNELL:31924096124197
Genre : Mathematics
File Size : 23. 73 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.

Kay Nielsen S A Thousand And One Nights

Author : Noel Daniel
ISBN : 3836532263
Genre :
File Size : 25. 22 MB
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Night visions A fine art portfolio of Kay Nielsen's sumptuous A Thousand and One Nights In the late 1910s, in a Europe ravaged by World War I, Danish illustrator Kay Nielsen put the finishing touches on his illustrations of A Thousand and One Nights. The results are considered masterpieces of early 20th-century illustration: bursting with sumptuous colors of deep blues, reds, and gold leaf, and evoking all the magic of this legendary collection of Indo-Persian and Arabic folktales, compiled between the 8th and 13th centuries. In the financially strapped postwar climate, however, publishers retreated from Nielsen's project and the publication never happened. A rising star, Nielsen moved on to other work, and the spectacular pen, ink, and watercolor images of this world heritage classic remained under lock and key for 40 years. Published just once in the 1970s, the illustrations were rescued from oblivion after Nielsen's death in 1957 and are now held by the UCLA Grunwald Center for the Graphic Arts at the Hammer Museum in Los Angeles, the Art Institute of Chicago, and in two private collections. Published for the first time ever in five colors including gold, this unique presentation of fine art prints revives all 21 strikingly beautiful illustrations reproduced directly from Nielsen's original watercolors- the only complete set of his beloved illustrations to have survived. Each illustration is presented individually in an extra-large format and on fine art paper , allowing Nielsen's graphic mastery and rich array of influences, from Art Nouveau to Japanese woodcuts to Indian painting, to dazzle. The set also includes a 144-page hardcover book also printed in five colors , featuring descriptions of all of the images, and three generously illustrated essays on the making of this series, the origin of Nielsen's unique imagery, and a history of the tales. In addition, the accompanying book features many unpublished or rarely seen artworks by Nielsen, as well as all 23 of the incredibly intricate black-and-;white drawings Nielsen also created for the original publication. This is a rare chance to own exceptional reproductions of this highly-influential artist's only surviving complete set of watercolors. Text in English, French, and German

Defending Hypatia

Author : Robert Goulding
ISBN : 9048135427
Genre : Science
File Size : 54. 4 MB
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Why should mathematics, the purest of sciences, have a history? Medieval mathematicians took little interest in the history of their discipline. Yet in the Renaissance the history of mathematics flourished. This book explores how Renaissance scholars recovered and reconstructed the origins of mathematics by tracing its invention in prehistoric Antiquity, its development by the Greeks, and its transmission to modern Europe via the works of Euclid, Theon and Proclus. The principal architects of this story -- the French philosopher and University of Paris reformer Peter Ramus, and his critic, the young Oxford astronomy lecturer Henry Savile – worked out diametrically opposed models for the development of the mathematical arts, models of historical progress and decline which mirrored each scholar’s larger convictions about the nature of mathematical thinking, the purpose of the modern university, and the potential of the human mind. In their hands, the obscure story of mathematical history became a site of contention over some of the most pressing philosophical and pedagogical debates of the sixteenth century.

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