Matrices and graphs in geometry [electronic resource] / Miroslav Fiedler.
2011
QA447 .F45 2011
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Title
Matrices and graphs in geometry [electronic resource] / Miroslav Fiedler.
Author
Fiedler, Miroslav.
ISBN
0521461936
9780521461931
9781107387355 (electronic book)
9780521461931
9781107387355 (electronic book)
Publication Details
Cambridge, U.K. ; New York : Cambridge University Press, 2011.
Language
English
Description
viii, 197 p. : ill.
Call Number
QA447 .F45 2011
Dewey Decimal Classification
516
Summary
"This book comprises, in addition to auxiliary material, the research on which I have worked for the past more than 50 years. Some of the results appear here for the first time. The impetus for writing the book came from the late Victor Klee, after my talk in Minneapolis in 1991. The main subject is simplex geometry, a topic which fascinated me from my student times, caused, in fact, by the richness of triangle and tetrahedron geometry on one side and matrix theory on the other side. A large part of the content is concerned with qualitative properties of a simplex. This can be understood as studying not just relations of equalities but also inequalities. It seems that this direction is starting to have important consequences in practical (and important) applications, such as finite element methods"--Provided by publisher.
Bibliography, etc. Note
Includes bibliographical references (p. [193]-194) and index.
Access Note
Access limited to authorized users.
Series
Encyclopedia of mathematics and its applications ; v. 139.
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Table of Contents
Matricial approach to Euclidean geometry
Simplex geometry
Qualitative properties of the angles in a simplex
Special simplexes
Further geometric objects
Applications.
Simplex geometry
Qualitative properties of the angles in a simplex
Special simplexes
Further geometric objects
Applications.