Matrices and Graphs in Geometry
eBook - PDF

Matrices and Graphs in Geometry

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Matrices and Graphs in Geometry

About this book

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.

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Yes, you can access Matrices and Graphs in Geometry by Miroslav Fiedler in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title
  5. Copyright
  6. Contents
  7. Preface
  8. 1 A matricial approach to Euclidean geometry
  9. 2 Simplex geometry
  10. 3 Qualitative properties of the angles in a simplex
  11. 4 Special simplexes
  12. 5 Further geometric objects
  13. 6 Applications
  14. Appendix
  15. References
  16. Index