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Matrices and graphs in geometry [electronic resource] / Miroslav Fiedler.

By: Contributor(s): Material type: TextTextSeries: Encyclopedia of mathematics and its applications ; v. 139.Publication details: Cambridge, U.K. ; New York : Cambridge University Press, 2011.Description: viii, 197 p. : illSubject(s): Genre/Form: DDC classification:
  • 516 22
LOC classification:
  • QA447 .F45 2011
Online resources:
Contents:
Matricial approach to Euclidean geometry -- Simplex geometry -- Qualitative properties of the angles in a simplex --Special simplexes -- Further geometric objects -- Applications.
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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Ebrary Online Books Ebrary Online Books Colombo Available CBEBK20001510
Ebrary Online Books Ebrary Online Books Jaffna Available JFEBK20001510
Ebrary Online Books Ebrary Online Books Kandy Available KDEBK20001510
Total holds: 0

Includes bibliographical references (p. [193]-194) and index.

Matricial approach to Euclidean geometry -- Simplex geometry -- Qualitative properties of the angles in a simplex --Special simplexes -- Further geometric objects -- Applications.

"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.

Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

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