Author: Kathryn Goulding Publisher: ISBN: 9780692925959 Category : Languages : en Pages :
Book Description
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: ISBN: 9780692925942 Category : Languages : en Pages :
Book Description
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: Robin Hartshorne Publisher: Springer Science & Business Media ISBN: 0387226761 Category : Mathematics Languages : en Pages : 535
Book Description
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: John Casey Publisher: ISBN: 9781686928512 Category : Languages : en Pages : 212
Book Description
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: H S 1848-1934 Hall Publisher: Legare Street Press ISBN: 9781019551738 Category : Languages : en Pages : 0
Book Description
This book serves as a companion guide to Euclid's Elements, providing explanations and solutions to the exercises and examples in the text. With clear and concise explanations, this book is perfect for students and educators alike. Explore the principles of geometry through Euclid's masterwork and gain a deeper understanding of this essential mathematical subject. 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: Legare Street Press ISBN: 9781020237430 Category : Languages : en Pages : 0
Book Description
Euclid's 'Elements of Geometry' has been the standard textbook in its field for over two thousand years. In this edition, David Gregory's clear and concise translation is accompanied by detailed diagrams and commentary, providing a comprehensive guide to the foundational principles of geometry. Perfect for students, teachers, and anyone interested in the history and development of mathematical thought. 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: John M. Lee Publisher: American Mathematical Soc. ISBN: 0821884786 Category : Mathematics Languages : en Pages : 490
Book Description
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: University Lecturer in English University of Cambridge and Fellow John Casey Publisher: CreateSpace ISBN: 9781518674709 Category : Languages : en Pages : 222
Book Description
CLASSICS The First Six Books of the Elements of Euclid With Copious Annotations and Numerous Exercises By John Casey This edition of the Elements of Euclid, undertaken at the request of the prin-cipals of some of the leading Colleges and Schools of Ireland, is intended to supply a want much felt by teachers at the present day - the production of a work which, while giving the unrivalled original in all its integrity, would also contain the modern conceptions and developments of the portion of Geometry over which the Elements extend. A cursory examination of the work will show that the Editor has gone much further in this latter direction than any of his predecessors, for it will be found to contain, not only more actual matter than is given in any of theirs with which he is acquainted, but also much of a special character, which is not given, so far as he is aware, in any former work on the subject. The great extension of geometrical methods in recent times has made such a work a necessity for the student, to enable him not only to read with ad-vantage, but even to understand those mathematical writings of modern times which require an accurate knowledge of Elementary Geometry, and to which it is in reality the best introduction. In compiling his work the Editor has received invaluable assistance from the late Rev. Professor Townsend, s.f.t.c.d. The book was rewritten and con-siderably altered in accordance with his suggestions, and to that distinguished Geometer it is largely indebted for whatever merit it possesses. The Questions for Examination in the early part of the First Book are in-tended as specimens, which the teacher ought to follow through the entire work. Every person who has had experience in tuition knows well the importance of such examinations in teaching Elementary Geometry.
Author: John Stillwell Publisher: Springer Science & Business Media ISBN: 0387255303 Category : Mathematics Languages : en Pages : 240
Book Description
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Author: Kathryn Goulding
Author: Kathryn Goulding
Author: Robin Hartshorne
Author: John Casey
Author: H S 1848-1934 Hall![A Key to the Exercises in Elements of Geometry [Euclid, Book 1-6 Andportions of Book 11,12] PDF](https://books.google.com/books/content/images/frontcover/jx4n0AEACAAJ?fife=w80-h100)
Author: James Hamblin Smith
Author: Euclid
Author: John M. Lee
Author: University Lecturer in English University of Cambridge and Fellow John Casey
Author: John Stillwell