Euclids Elements With Exercises PDF Download
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Author | : Kathryn Goulding |
Publisher | : |
Total Pages | : |
Release | : 2017-09-15 |
Genre | : |
ISBN | : 9780692925959 |
Download Euclid's Elements with Exercises Instructor's Copy Book in PDF, ePub and Kindle
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 | : Kathryn Goulding |
Publisher | : |
Total Pages | : |
Release | : 2017-09-15 |
Genre | : |
ISBN | : 9780692925942 |
Download Euclid's Elements with Exercises Book in PDF, ePub and Kindle
This work was created in the hope that it will encourage both students and teachers to discover the beauty of thought that Euclid's Elements embodies. Although it could be used by anyone, it and the companion instructor's copy (also available on Amazon) were assembled and written with small schools or homeschooling groups in mind. The work consists of the first six books of the Elements, with the addition of ten sets of exercises (additional proofs) to reinforce concepts. The material has been arranged in such a way as to enable its completion in a school year while assuring that all the basic propositions covered in a standard plane geometry class are included. Some propositions have been omitted, but these have been chosen so that the flow of logic is never interrupted, and all omitted propositions are in Appendix A at the back of the book. There is also 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. This book was not designed for the purist. Although it is pure Euclid and contains all of Books I - VI, it may offend the sensibilities of some who love Euclid (as the assembler/author does) to fail to place each proposition in its proper place in 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 main flow of the course.
Author | : Euclid |
Publisher | : |
Total Pages | : 544 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
Download Euclid's Elements Book in PDF, ePub and Kindle
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author | : Robin Hartshorne |
Publisher | : Springer Science & Business Media |
Total Pages | : 535 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 0387226761 |
Download Geometry: Euclid and Beyond Book in PDF, ePub and Kindle
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 | : Benjamin Wardhaugh |
Publisher | : Princeton University Press |
Total Pages | : 416 |
Release | : 2023-11-14 |
Genre | : Mathematics |
ISBN | : 0691235767 |
Download Encounters with Euclid Book in PDF, ePub and Kindle
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 | : John Casey |
Publisher | : |
Total Pages | : 212 |
Release | : 2019-08-17 |
Genre | : |
ISBN | : 9781686928512 |
Download The First Six Books of the Elements of Euclid Book in PDF, ePub and Kindle
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 | : John M. Lee |
Publisher | : American Mathematical Soc. |
Total Pages | : 490 |
Release | : 2013-04-10 |
Genre | : Mathematics |
ISBN | : 0821884786 |
Download Axiomatic Geometry Book in PDF, ePub and Kindle
The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom. -- P. [4] of cover.
Author | : John Casey |
Publisher | : Lulu.com |
Total Pages | : 464 |
Release | : 2015-05-28 |
Genre | : |
ISBN | : 9781312110786 |
Download Euclid's Elements Redux Book in PDF, ePub and Kindle
""Euclid's 'Elements' Redux"" is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time, ""The Elements,"" compiled by Euclid around 300 BC. It contains several hundred exercises as well as a partial answer key. Although it is a copyrighted work, it is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. Download it for free at: http: //starrhorse.com/euclid/
Author | : Paul Lockhart |
Publisher | : Harvard University Press |
Total Pages | : 264 |
Release | : 2012-09-25 |
Genre | : Mathematics |
ISBN | : 0674071174 |
Download Measurement Book in PDF, ePub and Kindle
For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.
Author | : Robert Kaplan |
Publisher | : Bloomsbury Publishing USA |
Total Pages | : 417 |
Release | : 2014-02-04 |
Genre | : Mathematics |
ISBN | : 1608198693 |
Download The Art of the Infinite Book in PDF, ePub and Kindle
Traces the development of mathematical thinking and describes the characteristics of the "republic of numbers" in terms of humankind's fascination with, and growing knowledge of, infinity.