Matrices and Graphs in Geometry (Record no. 13117)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03105nmm a2200265Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780521461931 |
| ISBN | 0521461936 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516 |
| Item number | F452M |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Fiedler, Miroslav. |
| 245 #0 - TITLE STATEMENT | |
| Title | Matrices and Graphs in Geometry |
| Statement of responsibility, etc | by Miroslav Fiedler. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cambridge, UK |
| -- | New York |
| Name of publisher | Cambridge University Press |
| Year of publication | 2011 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | viii, 197p. |
| Other physical details | ill.,25 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Encyclopedia of Mathematics and its Applications |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. [193]-194) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Matricial approach to Euclidean geometry -- Simplex geometry -- Qualitative properties of the angles in a simplex --Special simplexes -- Further geometric objects -- Applications. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "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. |
| Summary, etc | "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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Geometry |
| Topical Term | Graphs |
| Topical Term | Mathematics |
| Topical Term | Matrices |
| -- | Graphic methods. |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Title of a work | Encyclopedia of mathematics and its applications |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://assets.cambridge.org/97805214/61931/cover/9780521461931.jpg |
| -- | http://catdir.loc.gov/catdir/enhancements/fy1101/2010046601-b.html |
| -- | http://catdir.loc.gov/catdir/enhancements/fy1101/2010046601-d.html |
| -- | http://catdir.loc.gov/catdir/enhancements/fy1101/2010046601-t.html |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Book |
| Withdrawn status | Lost status | Damaged status | Not for loan | Permanent Location | Current Location | Shelving location | Date acquired | Full call number | Accession Number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | 2023-06-16 | 516 F452M | 07588 | 2023-06-16 | Book | |||||
| S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | 2023-06-16 | 516 F452M | 07589 | 2023-06-16 | Book | |||||
| S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | 2023-06-16 | 516 F452M | 07590 | 2023-06-16 | Book | |||||
| S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | 2023-06-16 | 516 F452M | 07591 | 2023-06-16 | Book |