A Key To The Exercises In Elements Of Geometry
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Author | : Kathryn Goulding |
Publisher | : |
Total Pages | : |
Release | : 2017-09-15 |
Genre | : |
ISBN | : 9780692925959 |
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 | : James Hamblin Smith |
Publisher | : |
Total Pages | : 0 |
Release | : 2023-07-18 |
Genre | : History |
ISBN | : 9781021174567 |
Author | : John Casey |
Publisher | : |
Total Pages | : 212 |
Release | : 2019-08-05 |
Genre | : |
ISBN | : 9781088465103 |
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 | : Thomas Lund (Rector of Brindle, Chorley.) |
Publisher | : |
Total Pages | : 324 |
Release | : 1860 |
Genre | : |
ISBN | : |
Author | : Thomas LUND (B.D., Mathematician.) |
Publisher | : |
Total Pages | : 332 |
Release | : 1860 |
Genre | : |
ISBN | : |
Author | : Euclid |
Publisher | : |
Total Pages | : 544 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author | : James Hamblin Smith |
Publisher | : |
Total Pages | : 272 |
Release | : 1880 |
Genre | : Geometry |
ISBN | : |
Author | : Paul Lockhart |
Publisher | : Harvard University Press |
Total Pages | : 264 |
Release | : 2012-09-25 |
Genre | : Mathematics |
ISBN | : 0674071174 |
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 | : |
Publisher | : |
Total Pages | : 1242 |
Release | : 1908 |
Genre | : American literature |
ISBN | : |
Author | : Euclid |
Publisher | : |
Total Pages | : 546 |
Release | : 2008 |
Genre | : |
ISBN | : |
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.