Euclid's Elements

Euclid's Elements
Author :
Publisher :
Total Pages : 544
Release :
ISBN-10 : CORNELL:31924096124197
ISBN-13 :
Rating : 4/5 (97 Downloads)

Synopsis Euclid's Elements by : Euclid

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth Books

The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth Books
Author :
Publisher : Legare Street Press
Total Pages : 0
Release :
ISBN-10 : 1017359083
ISBN-13 : 9781017359084
Rating : 4/5 (83 Downloads)

Synopsis The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth Books by : Isaac Todhunter

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.

Geometry

Geometry
Author :
Publisher : Springer Science & Business Media
Total Pages : 405
Release :
ISBN-10 : 9781475720228
ISBN-13 : 147572022X
Rating : 4/5 (28 Downloads)

Synopsis Geometry by : Serge Lang

At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises.

Euclid's Elements with Exercises Instructor's Copy

Euclid's Elements with Exercises Instructor's Copy
Author :
Publisher :
Total Pages :
Release :
ISBN-10 : 0692925953
ISBN-13 : 9780692925959
Rating : 4/5 (53 Downloads)

Synopsis Euclid's Elements with Exercises Instructor's Copy by : Kathryn Goulding

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.

TEXT-BOOK OF EUCLID'S ELEMENTS FOR

TEXT-BOOK OF EUCLID'S ELEMENTS FOR
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Publisher :
Total Pages : 0
Release :
ISBN-10 : 1033265373
ISBN-13 : 9781033265376
Rating : 4/5 (73 Downloads)

Synopsis TEXT-BOOK OF EUCLID'S ELEMENTS FOR by : H. S. HALL

Euclid's Elements in Greek

Euclid's Elements in Greek
Author :
Publisher : Lulu.com
Total Pages : 411
Release :
ISBN-10 : 9781411680876
ISBN-13 : 1411680871
Rating : 4/5 (76 Downloads)

Synopsis Euclid's Elements in Greek by : Richard Fitzpatrick

Euclid's Elements is the most famous mathematical work of classical antiquity, and has had a profound influence on the development of modern Mathematics and Physics. This volume contains the definitive Ancient Greek text of J.L. Heiberg (1883), together with an English translation. For ease of use, the Greek text and the corresponding English text are on facing pages. Moreover, the figures are drawn with both Greek and English symbols. Finally, a helpful Greek/English lexicon explaining Ancient Greek mathematical jargon is appended. Volume II contains Books 5-9, and covers the fundamentals of proportion, similar figures, and number theory.

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond
Author :
Publisher : Springer Science & Business Media
Total Pages : 535
Release :
ISBN-10 : 9780387226767
ISBN-13 : 0387226761
Rating : 4/5 (67 Downloads)

Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne

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.

The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements
Author :
Publisher : Createspace Independent Publishing Platform
Total Pages : 448
Release :
ISBN-10 : 1546376674
ISBN-13 : 9781546376675
Rating : 4/5 (74 Downloads)

Synopsis The Thirteen Books of Euclid's Elements by : Euclid

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.

Philosophy of Mathematics and Deductive Structure in Euclid's Elements

Philosophy of Mathematics and Deductive Structure in Euclid's Elements
Author :
Publisher : Courier Dover Publications
Total Pages : 404
Release :
ISBN-10 : NWU:35556037622826
ISBN-13 :
Rating : 4/5 (26 Downloads)

Synopsis Philosophy of Mathematics and Deductive Structure in Euclid's Elements by : Ian Mueller

A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.