Download or read book On the Projektine Axioms of Geometry written by Eliakim Hastings Moore and published by . This book was released on 1902 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Axiomatic Geometry written by John M. Lee and published by American Mathematical Soc.. This book was released on 2013-04-10 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Axiomatic Geometry written by Michael C. Gemignani and published by . This book was released on 1971 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Axioms of Descriptive Geometry written by Alfred North Whitehead and published by . This book was released on 1914 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A System of Axioms for Geometry written by Oswald Veblen and published by . This book was released on 1944 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Axioms of Descriptive Geometry written by Alfred North Whitehead and published by . This book was released on 1960 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Axioms of Projective Geometry written by Alfred North Whitehead and published by . This book was released on 1906 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Axioms of Projective Geometry written by Claude E. Stout and published by . This book was released on 1925 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Foundations of Geometry written by David Hilbert and published by . This book was released on 1902 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Axioms of Descriptive Geometry written by Alfred North Whitehead and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Axioms of Projective Geometry written by Alfred North Whitehead and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Foundations of Euclidean Geometry written by Henry George Forder and published by . This book was released on 1927 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Axioms of Projective Geometry written by A. N. Whitehead and published by Forgotten Books. This book was released on 2015-06-25 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Axioms of Projective Geometry In this tract only the outlines of the subject are dealt with. Accordingly I have endeavoured to avoid reasoning dependent upon the mere wording and on the exact forms of the axioms (which can be indefinitely varied), and have concentrated attention upon certain questions which demand consideration however the axioms are phrased. Every group of the axioms is designed to secure the deduction of a certain group of properties. For the most part I have stated without proof the leading immediate consequences of the various groups. Also I have ignored most of the independence theorems, as being dependent upon mere questions of phrasing, and have only investigated those which appear to me to embody the essence of the subject; though, as far as I know, no formal line can be drawn between these two classes of theorems. But there is one group of deductions which cannot be ignored in any consideration of the principles of Projective Geometry. I refer to the theorems, by which it is proved that numerical coordinates, with the usual properties, can be defined without the introduction of distance as a fundamental idea. The establishment of this result is one of the triumphs of modem mathematical thought. It has been achieved by the development of one of the many brilliant geometrical conceptions which we owe to the genius of von Staudt. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Axiomatic Projective Geometry written by Arend Heyting and published by Noordhoff International Publishing. This book was released on 1980 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book No 5 the Axioms of Descriptive Geometry written by A N Whitehead and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic text in the field of descriptive geometry, this book introduces the reader to the fundamental concepts and principles of the subject. With clear explanations and practical examples, A.N. Whitehead provides a comprehensive guide to this fascinating area of mathematics. 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.
Download or read book The Axioms of Projective Geometry written by Alfred North Whitehead and published by . This book was released on 1971 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Famous Geometrical Theorems and Problems written by William Whitehead Rupert and published by . This book was released on 1900 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
