The Foundations Of Geometry
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The Foundations Of Geometry
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Author : Edward Travers Dixon
language : en
Publisher:
Release Date : 1891
The Foundations Of Geometry written by Edward Travers Dixon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with Geometry categories.
The Foundations Of Geometry
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Author : David Hilbert
language : en
Publisher: Read Books Ltd
Release Date : 2014-07-07
The Foundations Of Geometry written by David Hilbert and has been published by Read Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-07 with Mathematics categories.
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
The Foundations Of Geometry
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Author : Gerard Venema
language : en
Publisher: Prentice Hall
Release Date : 2006
The Foundations Of Geometry written by Gerard Venema and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
For sophomore/junior-level courses in Geometry; especially appropriate for students that will go on to teach high-school mathematics. This text comfortably serves as a bridge between lower-level mathematics courses (calculus and linear algebra) and upper-level courses (real analysis and abstract algebra). It fully implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers. Foundations of Geometry particularly teaches good proof-writing skills, emphasizes the historical development of geometry, and addresses certain issues concerning the place of geometry in human culture.
The Foundations Of Geometry And The Non Euclidean Plane
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Author : G.E. Martin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Foundations Of Geometry And The Non Euclidean Plane written by G.E. Martin 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 2012-12-06 with Mathematics categories.
This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.
Foundations Of Geometry
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Author : Karol Borsuk
language : en
Publisher: Courier Dover Publications
Release Date : 2018-11-14
Foundations Of Geometry written by Karol Borsuk and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-14 with Mathematics categories.
In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the text. Topics covered by Part One include axioms of incidence and order, axioms of congruence, the axiom of continuity, models of absolute geometry, and Euclidean geometry, culminating in the treatment of Bolyai-Lobachevskian geometry. Part Two examines axioms of incidents and order and the axiom of continuity, concluding with an exploration of models of projective geometry.
An Essay On The Foundations Of Geometry
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Author : Bertrand Russell
language : en
Publisher: DigiCat
Release Date : 2022-08-15
An Essay On The Foundations Of Geometry written by Bertrand Russell and has been published by DigiCat this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-15 with Fiction categories.
DigiCat Publishing presents to you this special edition of "An essay on the foundations of geometry" by Bertrand Russell. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.
The Foundations Of Mathematics
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Author : Paul Carus
language : en
Publisher:
Release Date : 1908
The Foundations Of Mathematics written by Paul Carus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1908 with Geometry categories.
The Foundations Of Geometry
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Author : Gilbert de Beauregard Robinson
language : en
Publisher:
Release Date : 1963
The Foundations Of Geometry written by Gilbert de Beauregard Robinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Essay On The Foundations Of Geometry
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Author :
language : en
Publisher:
Release Date : 1897
Essay On The Foundations Of Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with categories.
Metric Methods In Finsler Spaces And In The Foundations Of Geometry
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Author : Herbert Busemann
language : en
Publisher: Princeton University Press
Release Date : 1942
Metric Methods In Finsler Spaces And In The Foundations Of Geometry written by Herbert Busemann and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942 with Mathematics categories.
The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.