中图分类法:
O18 版次:
著者:
Fiedler, Miroslav,
题名:
Matrices and Graphs in Geometry / / ,
出版发行:
出版地: Cambridge, UK ; 出版社: Cambridge University Press, 出版日期: 2011, ?011.
载体形态:
viii, 197 pages : illustrations ; 25 cm.
内容提要:
"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"--Provided by publisher.
内容提要:
"This book comprises, in addition to auxiliary material, the research on which I have worked for the past more than