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Euclides
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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 The Elements ¬of ¬Euclides by : Euclides
Download or read book The Elements ¬of ¬Euclides written by Euclides and published by . This book was released on 1781 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclid—The Creation of Mathematics by : Benno Artmann
Download or read book Euclid—The Creation of Mathematics written by Benno Artmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.
Book Synopsis Euclid's Elements of Geometry by : Euclid
Download or read book Euclid's Elements of Geometry written by Euclid and published by . This book was released on 2008 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: EUCLID'S ELEMENTS OF GEOMETRY, in Greek and English. The Greek text of J.L. Heiberg (1883-1885), edited, and provided with a modern English translation, by Richard Fitzpatrick.[Description from Wikipedia: ] The Elements (Ancient Greek: Στοιχεῖον Stoikheîon) is a mathematical treatise consisting of 13 books (all included in this volume) attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.
Download or read book Euclid written by Josette Campbell and published by The Rosen Publishing Group, Inc. This book was released on 2015-07-15 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid, a Greek mathematician, flourished around 300 BCE. It was he who shaped geometry into what it is today. As a result, he became known as the father of geometry. Euclid founded his own school in Alexandria, Egypt, and gained a reputation as an exceptional geometry teacher. The Elements, his thirteen-volume treatise on mathematics and geometry, was considered to be one of the most influential mathematical works in history. Readers consider some of the definitions and postulates from this great work. They also learn about ancient Greek civilization and the renowned Greek mathematicians and philosophers who influenced Euclid's thinking.
Book Synopsis Encounters with Euclid by : Benjamin Wardhaugh
Download or read book Encounters with Euclid written by Benjamin Wardhaugh and published by Princeton University Press. This book was released on 2023-11-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.
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 Wonder Book of Geometry by : David Acheson
Download or read book The Wonder Book of Geometry written by David Acheson and published by Oxford University Press. This book was released on 2020-10-22 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.
Download or read book Euclid in China written by Engelfriet and published by BRILL. This book was released on 2021-11-01 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: As part of the Jesuits' programme of introduction to European culture, in 1607 the Elements of Euclid (± 300 BC) were translated for the first time into Chinese. The translation of this epoch-making ancient Greek textbook on deductive geometry meant a confrontation of contemporary Chinese and European cultures. Part I of Peter Engelfriet's work deals mainly with the European and Chinese backgrounds, part II with linguistic and textual matters. In part III the manner in which learned Chinese tried to integrate this new knowledge into their own, Chinese, mathematical and cultural traditions comes to the fore. This fascinating work explores in depth and at various levels the circumstances and mechanisms that shaped the transmission of a key work of science from one language and cultural context onto another. Consequently it offers often surprising insights into the ways of intercultural exchange and misunderstandings.
Download or read book The Amazon written by Euclides da Cunha and published by Oxford University Press. This book was released on 2006-11-06 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the eight pieces that make up Land Without History, first published in Portuguese in 1909, Euclides da Cunha offers a rare look into twentieth century Amazonia, and the consolidation of South American nation states. Mixing scientific jargon and poetic language, the essays in Land Without History provide breathtaking descriptions of the Amazonian rivers and the ever-changing nature that surrounds them. Brilliantly translated by Ronald Sousa, Land Without History offers a view of the ever changing ecology of the Amazon, and a compelling testimony to the Brazilian colonial enterprise, and its imperialist tendencies with regard to neighboring nation-states.
Book Synopsis Euclid Vindicated from Every Blemish by : Gerolamo Saccheri
Download or read book Euclid Vindicated from Every Blemish written by Gerolamo Saccheri and published by Springer. This book was released on 2014-08-07 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work. Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of non-Euclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry. Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of non-Euclidean geometries.
Book Synopsis The Paradox of Political Philosophy by : Jacob Howland
Download or read book The Paradox of Political Philosophy written by Jacob Howland and published by Rowman & Littlefield. This book was released on 1998 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of Socrates' trial as played out in the Apology, Theaetetus, Euthyphro, Cratylus, Sophist, and Statesman. Finding that the heart of the dialogues is the rivalry between the characters of the Stranger of Elea and Socrates, the author devotes a chapter to each dialogue and explores the Stranger of Elea's criticism that the uncompromising pursuit of knowledge conflicts with the task of weaving together humans into a political community. The melding of the arguments of Socrates and the Stranger of Elea, the author suggests, is the best path to understanding Plato's political philosophy. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Euclid's Window by : Leonard Mlodinow
Download or read book Euclid's Window written by Leonard Mlodinow and published by Simon and Schuster. This book was released on 2010-09-28 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.
Book Synopsis The Thirteen Books of Euclid's Elements by : Euclid
Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by Createspace Independent Publishing Platform. This book was released on 2017-04-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.
Download or read book Plato's Theaetetus written by Plato and published by University of Chicago Press. This book was released on 1986 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theaetetus, the Sophist, and the Statesman are a trilogy of Platonic dialogues that show Socrates formulating his conception of philosophy as he prepares the defense for his trial. Originally published together as The Being of the Beautiful, these translations can be read separately or as a trilogy. Each includes an introduction, extensive notes, and comprehensive commentary that examines the trilogy's motifs and relationships. "Seth Benardete is one of the very few contemporary classicists who combine the highest philological competence with a subtlety and taste that approximate that of the ancients. At the same time, he as set himself the entirely modern hermeneutical task of uncovering what the ancients preferred to keep veiled, of making explicit what they indicated, and hence...of showing the naked ugliness of artificial beauty."—Stanley Rose, Graduate Faculty Philosophy Journal Seth Benardete (1930-2001) was professor of classics at New York University. He was the author or translator of many books, most recently The Argument of the Action, Plato's "Laws," and Plato's "Symposium," all published by the University of Chicago Press.
Download or read book Four Lives written by Jason Rosenhouse and published by Courier Corporation. This book was released on 2014-02-20 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This "best of" hardcover collection of works by Raymond Smullyan features logic puzzles, musings on mathematical logic and paradoxes, chess problems, and thoughts on the philosophy of religion, plus personal tributes to the author.
Download or read book Imagining Brazil written by Jessé Souza and published by Lexington Books. This book was released on 2005 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagining Brazil explores the connections between society, politics, culture, and literature, creating a comprehensive volume that is of interest to scholars of Latin American studies and globalization."--Jacket.