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After Euclid
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Author :Jesse Norman Publisher :Center for the Study of Language and Information Publica Tion ISBN 13 : Total Pages :200 pages Book Rating :4.3/5 (91 download)
Download or read book After Euclid written by Jesse Norman and published by Center for the Study of Language and Information Publica Tion. This book was released on 2006 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to have visual intuition? Can we gain geometrical knowledge by using visual reasoning? And if we can, is it because we have a faculty of intuition? In After Euclid, Jesse Norman reexamines the ancient and long-disregarded concept of visual reasoning and reasserts its potential as a formidable tool in our ability to grasp various kinds of geometrical knowledge. The first detailed philosophical case study of its kind, this text is essential reading for scholars in the fields of mathematics and philosophy.
Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne
Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Book Synopsis The Commentary of al-Nayrizi on Book I of Euclid's Elements of Geometry by : Anthony Lo Bello
Download or read book The Commentary of al-Nayrizi on Book I of Euclid's Elements of Geometry written by Anthony Lo Bello and published by BRILL. This book was released on 2021-10-25 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than two millennia, the Elements of Geometry by the Greek mathematician Euclid of Alexandria (ca. 300 B.C.E. ) was held to be “the supreme example of the exercise of human reason” and “a paradigm of rational certainty” (from the preface, after Simon Blackburn). The Commentary of al-Nayrizi on Book I of Euclid’s Elements of Geometry introduces readers to the transmission of Euclid’s Elements from the Middle East to the Latin West in the medieval period and then offers the first English translation of al-Nayrizi’s (d. ca. 922) Arabic commentary on Book I. The Three Volumes are also available as set (ISBN 0 391 04197 5)
Book Synopsis Euclid's Phaenomena by : J. L. Berggren
Download or read book Euclid's Phaenomena written by J. L. Berggren and published by Routledge. This book was released on 2019-05-29 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.
Book Synopsis The Thirteen Books of Euclid's Elements by : Thomas L. Heath
Download or read book The Thirteen Books of Euclid's Elements written by Thomas L. Heath and published by Cambridge University Press. This book was released on 2015-02-12 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1926, this book contains the first volume of a three-volume English translation of the thirteen books of Euclid's Elements.
Book Synopsis The Thirteen Books of Euclid's Elements by :
Download or read book The Thirteen Books of Euclid's Elements written by and published by CUP Archive. This book was released on with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclid's Elements of Geometry by : Robert Potts
Download or read book Euclid's Elements of Geometry written by Robert Potts and published by . This book was released on 1876 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclid's elements of geometry by : Robert Potts
Download or read book Euclid's elements of geometry written by Robert Potts and published by BoD – Books on Demand. This book was released on 2023-02-21 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1871. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
Book Synopsis The King of Infinite Space by : David Berlinski
Download or read book The King of Infinite Space written by David Berlinski and published by Basic Books. This book was released on 2014-04-08 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid's axiomatic system, a method of proof still taught in classrooms around the world. Euclid's use of elemental logic -- and the mathematical statements he and others built from it -- have dramatically expanded the frontiers of human knowledge. The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.
Book Synopsis Form and Clarity in Euclid’s ›Elements‹ by : Anna-Maria Gasser
Download or read book Form and Clarity in Euclid’s ›Elements‹ written by Anna-Maria Gasser and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-22 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: As of yet, the remarkable and highly influential textual form of Euclidean mathematics has not been considered from a literary-aesthetic perspective. By its extreme standardization and seeming non-literariness it appears to defy such an approach. This book nonetheless attempts precisely a literary-aesthetic study of the language and style of Euclid’s Elements, focusing on book I. It aims to find out what is literary about the form and what motivates this form as form. In doing so, it employs the concept of clarity, asking: How is the textual form related to logical and communicative clarity? That is, how far is the omnipresent standardization necessary for the accomplishment and successful communication of the proofs? Based on a close analysis of the standardization at all levels of the text (lexicon, grammar, structure, and especially diagram), it argues that the textual form of the Elements is standardized beyond logical-communicative purposes, and that it is in this sense ‘aesthetic’. The book exposes the unexpected literary dimension of Euclid’s Elements, provides a new interpretation of the peculiar form of the work, and offers a model for determining the role of clarity (not only) in Greek theoretical mathematics.
Book Synopsis The World of Mathematics by : James Roy Newman
Download or read book The World of Mathematics written by James Roy Newman and published by Courier Corporation. This book was released on 2000-09-18 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com).
Book Synopsis Proceedings of the Cambridge Philosophical Society by : Cambridge Philosophical Society
Download or read book Proceedings of the Cambridge Philosophical Society written by Cambridge Philosophical Society and published by . This book was released on 1925 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The school edition. Euclid's Elements of geometry, the first six books, by R. Potts. corrected and enlarged. corrected and improved [including portions of book 11,12]. by : Euclides
Download or read book The school edition. Euclid's Elements of geometry, the first six books, by R. Potts. corrected and enlarged. corrected and improved [including portions of book 11,12]. written by Euclides and published by . This book was released on 1864 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Emergence of Number by : John N. Crossley
Download or read book The Emergence of Number written by John N. Crossley and published by World Scientific. This book was released on 1987 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents detailed studies of the development of three kinds of number. In the first part the development of the natural numbers from Stone-Age times right up to the present day is examined not only from the point of view of pure history but also taking into account archaeological, anthropological and linguistic evidence. The dramatic change caused by the introduction of logical theories of number in the 19th century is also treated and this part ends with a non-technical account of the very latest developments in the area of Gdel's theorem. The second part is concerned with the development of complex numbers and tries to answer the question as to why complex numbers were not introduced before the 16th century and then, by looking at the original materials, shows how they were introduced as a pragmatic device which was only subsequently shown to be theoretically justifiable. The third part concerns the real numbers and examines the distinction that the Greeks made between number and magnitude. It then traces the gradual development of a theory of real numbers up to the precise formulations in the nineteeth century. The importance of the Greek distinction between the number line and the geometric line is brought into sharp focus.This is an new edition of the book which first appeared privately published in 1980 and is now out of print. Substantial revisions have been made throughout the text, incorporating new material which has recently come to light and correcting a few relatively minor errors. The third part on real numbers has been very extensively revised and indeed the last chapter has been almost completely rewritten. Many revisions are the results of comments from earlier readers of the book.
Book Synopsis The School Edition. Euclid's Elements ... [Books 1-6.] By R. Potts. Corrected and Enlarged by :
Download or read book The School Edition. Euclid's Elements ... [Books 1-6.] By R. Potts. Corrected and Enlarged written by and published by . This book was released on 1850 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclid's Elements of Geometry. [Books 1-4] ... By R. Potts. (Fifth edition.) Corrected and improved by :
Download or read book Euclid's Elements of Geometry. [Books 1-4] ... By R. Potts. (Fifth edition.) Corrected and improved written by and published by . This book was released on 1864 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: