Algebraical and Topological Foundations of Geometry

Algebraical and Topological Foundations of Geometry PDF Author: Hans Freudenthal
Publisher: Elsevier
ISBN: 1483184641
Category : Mathematics
Languages : en
Pages : 217

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Book Description
Algebraical and Topological Foundations of Geometry contains the proceedings of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers review the algebraical and topological foundations of geometry and cover topics ranging from the geometric algebra of the Möbius plane to the theory of parallels with applications to closed geodesies. Groups of homeomorphisms and topological descriptive planes are also discussed. Comprised of 26 chapters, this book introduces the reader to the theory of parallels with applications to closed geodesies; groups of homeomorphisms; complemented modular lattices; and topological descriptive planes. Subsequent chapters focus on collineation groups; exceptional algebras and exceptional groups; the connection between algebra and constructions with ruler and compasses; and the use of differential geometry and analytic group theory methods in foundations of geometry. Von Staudt projectivities of Moufang planes are also considered, and an axiomatic treatment of polar geometry is presented. This monograph will be of interest to students of mathematics.

Algebraical and Topological Foundations of Geometry

Algebraical and Topological Foundations of Geometry PDF Author: Hans Freudenthal
Publisher: Elsevier
ISBN: 1483184641
Category : Mathematics
Languages : en
Pages : 217

Get Book Here

Book Description
Algebraical and Topological Foundations of Geometry contains the proceedings of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers review the algebraical and topological foundations of geometry and cover topics ranging from the geometric algebra of the Möbius plane to the theory of parallels with applications to closed geodesies. Groups of homeomorphisms and topological descriptive planes are also discussed. Comprised of 26 chapters, this book introduces the reader to the theory of parallels with applications to closed geodesies; groups of homeomorphisms; complemented modular lattices; and topological descriptive planes. Subsequent chapters focus on collineation groups; exceptional algebras and exceptional groups; the connection between algebra and constructions with ruler and compasses; and the use of differential geometry and analytic group theory methods in foundations of geometry. Von Staudt projectivities of Moufang planes are also considered, and an axiomatic treatment of polar geometry is presented. This monograph will be of interest to students of mathematics.

Nathan Jacobson Collected Mathematical Papers

Nathan Jacobson Collected Mathematical Papers PDF Author: N. Jacobson
Publisher: Springer Science & Business Media
ISBN: 1461236940
Category : Science
Languages : en
Pages : 557

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Book Description
This collection contains all my published papers, both research and expository, that were published from 1934 to 1988. The research papers arranged in chronological order appear in Volume I and II and in the first part of Volume III. The expository papers, which are mainly reports presented at conferences, appear in chronological order in the last part of Volume III. Volume I covers the period 1910 to 1947, the year I moved to Yale, Volume II covers the period 1947 to 1965 when I became Chairman of the Department at Yale and Volume III covers the period from 1965 to 1989, which goes beyond my assumption of an emeritus status in 1981. I have divided the time interval covered in each volume into subintervals preceded by an account of my personal history during this period, and a commentary on the research papers published in the period. I have omitted commentaries on the expository papers and have sorted out the commentaries on the research papers according to the principal fields of my research. The personal history has been based on my recollections, checked against written documentation in my file of letters as well as diaries. One of these was a diary I kept of my trip to the USSR in 1961; the others were diaries Florie (Florence) kept during other major visits abroad. I have also consulted Professor A. W. Tucker on historical details on Princeton during the 1930's.

National Union Catalog

National Union Catalog PDF Author:
Publisher:
ISBN:
Category : Union catalogs
Languages : en
Pages :

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Book Description
Includes entries for maps and atlases.

General Catalogue of Printed Books

General Catalogue of Printed Books PDF Author: British Museum. Department of Printed Books
Publisher:
ISBN:
Category : English imprints
Languages : en
Pages : 512

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Book Description


Dictionary Catalog of the University Library, 1919-1962

Dictionary Catalog of the University Library, 1919-1962 PDF Author: University of California, Los Angeles. Library
Publisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 1054

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Book Description


Catalog of Copyright Entries. Third Series

Catalog of Copyright Entries. Third Series PDF Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1152

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Book Description
Includes Part 1, Number 1: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - June)

Dictionary Catalog of the Research Libraries of the New York Public Library, 1911-1971

Dictionary Catalog of the Research Libraries of the New York Public Library, 1911-1971 PDF Author: New York Public Library. Research Libraries
Publisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 594

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Book Description


American Scientific Books

American Scientific Books PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 240

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Book Description


American Book Publishing Record

American Book Publishing Record PDF Author:
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 1952

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Book Description


Learning Approaches in Signal Processing

Learning Approaches in Signal Processing PDF Author: Francis Ring
Publisher: CRC Press
ISBN: 0429590326
Category : Computers
Languages : en
Pages : 461

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Book Description
Coupled with machine learning, the use of signal processing techniques for big data analysis, Internet of things, smart cities, security, and bio-informatics applications has witnessed explosive growth. This has been made possible via fast algorithms on data, speech, image, and video processing with advanced GPU technology. This book presents an up-to-date tutorial and overview on learning technologies such as random forests, sparsity, and low-rank matrix estimation and cutting-edge visual/signal processing techniques, including face recognition, Kalman filtering, and multirate DSP. It discusses the applications that make use of deep learning, convolutional neural networks, random forests, etc. The applications include super-resolution imaging, fringe projection profilometry, human activities detection/capture, gesture recognition, spoken language processing, cooperative networks, bioinformatics, DNA, and healthcare.