Matrices and Graphs in Geometry / Miroslav Fiedler.

Format:

Book

Author/Creator:

Fiedler, Miroslav, author.

Series:

Encyclopedia of mathematics and its applications ; v. 139.

Encyclopedia of mathematics and its applications ; volume 139

Language:

English

Subjects (All):

Geometry.

Matrices.

Graphic methods.

Physical Description:

1 online resource (viii, 197 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Matrices & Graphs in Geometry

Place of Publication:

Cambridge : Cambridge University Press, 2011.

Language Note:

English

Summary:

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.

Contents:

Matricial approach to Euclidean geometry

Simplex geometry

Qualitative properties of the angles in a simplex

Special simplexes

Further geometric objects

Applications.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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

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

OCLC:

862614465