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Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.E/5 ( download)
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.
Author : Euclid
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781546376675
Total Pages : 448 pages
Book Rating : 4.3/5 (766 download)
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.
Author : Thomas L. Heath
Publisher : Cambridge University Press
ISBN 13 : 1107480507
Total Pages : 555 pages
Book Rating : 4.1/5 (74 download)
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 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1926, this book contains the final volume of a three-volume English translation of the thirteen books of Euclid's Elements.
Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.A/5 ( download)
Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by . This book was released on 1908 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.:/5 (9 download)
Download or read book The Elements written by Euclid and published by . This book was released on 1947 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.B/5 (9 download)
Download or read book The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth ... Also the Book of Euclid's Data, in Like Manner Corrected written by Euclid and published by . This book was released on 1817 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kathryn Goulding
Publisher :
ISBN 13 : 9780692925959
Total Pages : pages
Book Rating : 4.9/5 (259 download)
Download or read book Euclid's Elements with Exercises Instructor's Copy written by Kathryn Goulding and published by . This book was released on 2017-09-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The instructor's edition of Euclid's Elements With Exercises is intended as a guide for anyone teaching Euclid for the first time. Although it could be used by anyone, it was assembled and written with small schools or homeschooling groups in mind. In addition to containing the first six books in exactly the format of the student edition (also available on Amazon), the instructor's edition provides a concise overview of the course, including suggestions for conducting the class, a discussion of the organization of the material, brief comments on supplemental and memory work, and other details about which a new instructor might have questions. It also has notes for the teacher on each of the six books of the Elements, notes on selected exercises, and an appendix explaining the basics of formal reasoning, including an explanation of the converse and contrapositive of a statement and the concept of an indirect proof, which occurs early in Book I. The primary difference between this work and Euclid's Elements as it is usually presented (aside from the fact that there are some exercises), is that, while all of Books I - VI are included in the book, some propositions are omitted in the main body of the text (all omitted propositions are in Appendix A). This was done in order to be able to finish in two semesters all the plane geometry that would normally be covered in a modern geometry class. It should be noted, of course, that the flow of logic of the propositions is never interrupted. This book was not designed for the purist. Although it is pure Euclid and contains all of the first six books, it may offend the sensibilities of some who love Euclid (as the assembler/author does) to fail to place Book II in the expected flow of the main body of the text. For anyone not under a time constraint, or anyone moving quickly through the text, the author strongly recommends the inclusion of Book II in the course flow.
Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.5/5 (895 download)
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.
Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 550 pages
Book Rating : 4.F/5 ( download)
Download or read book Introduction and books 1,2 written by Euclid and published by . This book was released on 1908 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Berlinski
Publisher : Basic Books
ISBN 13 : 0465038638
Total Pages : 193 pages
Book Rating : 4.4/5 (65 download)
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.
Author : Archimedes
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Works of Archimedes written by Archimedes and published by . This book was released on 1897 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Casey
Publisher :
ISBN 13 : 9781088465103
Total Pages : 212 pages
Book Rating : 4.4/5 (651 download)
Download or read book The First Six Books of the Elements of Euclid written by John Casey and published by . This book was released on 2019-08-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of the Elements of Euclid, undertaken at the request of the principalsof some of the leading Colleges and Schools of Ireland, is intended tosupply a want much felt by teachers at the present day-the production of awork which, while giving the unrivalled original in all its integrity, would alsocontain the modern conceptions and developments of the portion of Geometryover which the Elements extend. A cursory examination of the work will showthat the Editor has gone much further in this latter direction than any of hispredecessors, for it will be found to contain, not only more actual matter thanis given in any of theirs with which he is acquainted, but also much of a specialcharacter, which is not given, so far as he is aware, in any former work on thesubject. The great extension of geometrical methods in recent times has madesuch a work a necessity for the student, to enable him not only to read with advantage, but even to understand those mathematical writings of modern timeswhich require an accurate knowledge of Elementary Geometry, and to which itis in reality the best introduction
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 0387226761
Total Pages : 535 pages
Book Rating : 4.3/5 (872 download)
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.
Author : Isaac Newton
Publisher : Legare Street Press
ISBN 13 : 9781015496712
Total Pages : 0 pages
Book Rating : 4.4/5 (967 download)
Download or read book Newton's Principia written by Isaac Newton and published by Legare Street Press. This book was released on 2022-10-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (144 download)
Download or read book Euclid's Elements written by Euclid and published by . This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Benjamin Wardhaugh
Publisher : Princeton University Press
ISBN 13 : 0691235767
Total Pages : 416 pages
Book Rating : 4.6/5 (912 download)
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.
Author : Dana Densmore
Publisher : Green Cat Books
ISBN 13 : 9781888009460
Total Pages : 0 pages
Book Rating : 4.0/5 (94 download)
Download or read book Euclid's Elements Book One with Questions for Discussion written by Dana Densmore and published by Green Cat Books. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents Book One of Euclid's Elements for students in humanities and for general readers. This treatment raises deep questions about the nature of human reason and its relation to the world. Dana Densmore's Questions for Discussion are intended as examples, to urge readers to think more carefully about what they are watching unfold, and to help them find their own questions in a genuine and exhilarating inquiry.
