Euclid S Elements With Exercises
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Euclid S Elements With Exercises Instructor S Copy
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Author : Kathryn Goulding
language : en
Publisher:
Release Date : 2017-09-15
Euclid S Elements With Exercises Instructor S Copy written by Kathryn Goulding and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-15 with categories.
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.
Euclid S Elements
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Author : Euclid
language : en
Publisher:
Release Date : 2002
Euclid S Elements written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Geometry Euclid And Beyond
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Author : Robin Hartshorne
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Geometry Euclid And Beyond written by Robin Hartshorne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field provides an analytic model of the theory, and conversely, we see that one can introduce coordinates into an abstract geometry. The theory of area is analyzed by cutting figures into triangles. The algebra of field extensions provides a method for deciding which geometrical constructions are possible. The investigation of the parallel postulate leads to the various non-Euclidean geometries. And in the last chapter we provide what is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks.
Euclid S Elements Redux
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Author : John Casey
language : en
Publisher: Lulu.com
Release Date : 2015-05-28
Euclid S Elements Redux written by John Casey and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-28 with categories.
""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/
Euclid S Elements Of Geometry
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Author : Robert Potts
language : en
Publisher:
Release Date : 1865
Euclid S Elements Of Geometry written by Robert Potts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1865 with categories.
Euclid S Elements
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Author : Euclides
language : en
Publisher:
Release Date : 1961
Euclid S Elements written by Euclides and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Axiomatic Geometry
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Author : John M. Lee
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-04-10
Axiomatic Geometry written by John M. Lee and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Mathematics categories.
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.
The Four Pillars Of Geometry
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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-09
The Four Pillars Of Geometry written by John Stillwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-09 with Mathematics categories.
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
Euclid S Elements With Exercises
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Author : Kathryn Goulding
language : en
Publisher:
Release Date : 2017-09-15
Euclid S Elements With Exercises written by Kathryn Goulding and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-15 with categories.
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.