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Matrices and Graphs in Geometry / / Miroslav Fiedler [[electronic resource]]



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Autore: Fiedler Miroslav Visualizza persona
Titolo: Matrices and Graphs in Geometry / / Miroslav Fiedler [[electronic resource]] Visualizza cluster
Pubblicazione: Cambridge : , : Cambridge University Press, , 2011
Descrizione fisica: 1 online resource (viii, 197 pages) : digital, PDF file(s)
Disciplina: 516
Soggetto topico: Geometry
Matrices
Graphic methods
Classificazione: MAT038000
Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Nota di bibliografia: Includes bibliographical references (p. [193]-194) and index.
Nota di contenuto: Matricial approach to Euclidean geometry -- Simplex geometry -- Qualitative properties of the angles in a simplex -- Special simplexes -- Further geometric objects -- Applications.
Sommario/riassunto: Simplex geometry is a topic generalizing geometry of the triangle and tetrahedron. The appropriate tool for its study is matrix theory, but applications usually involve solving huge systems of linear equations or eigenvalue problems, and geometry can help in visualizing the behaviour of the problem. In many cases, solving such systems may depend more on the distribution of non-zero coefficients than on their values, so graph theory is also useful. The author has discovered a method that in many (symmetric) cases helps to split huge systems into smaller parts. Many readers will welcome this book, from undergraduates to specialists in mathematics, as well as non-specialists who only use mathematics occasionally, and anyone who enjoys geometric theorems. It acquaints the reader with basic matrix theory, graph theory and elementary Euclidean geometry so that they too can appreciate the underlying connections between these various areas of mathematics and computer science.
Altri titoli varianti: Matrices & Graphs in Geometry
Titolo autorizzato: Matrices and Graphs in Geometry  Visualizza cluster
ISBN: 1-139-88657-6
1-107-38379-X
1-107-29917-9
0-511-97361-6
1-107-39865-7
1-107-39023-0
1-107-38735-3
1-107-39502-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910821708203321
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Serie: Encyclopedia of mathematics and its applications ; ; v. 139.