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| fixed length control field |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
220823b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780367372880 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.5 |
| Item number |
LOE |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Loehr, Nicholas |
| 245 ## - TITLE STATEMENT |
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| Title |
Advanced linear algebra |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
CRC Press, |
| Date of publication, distribution, etc |
2014 |
| Place of publication, distribution, etc |
Boca Raton : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xxii, 609 p. ; |
| Other physical details |
ill., |
| Dimensions |
25 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
4995.00 |
| Price type code |
INR |
| Unit of pricing |
01 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Textbooks in mathematics |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
What is linear algebra, and how is it used? Upon examining almost any introductory text on linear algebra, we find a standard list of topics that seems to define the subject. On one hand, one part of linear algebra consists of computational techniques for solving linear equations, multiplying and inverting matrices, calculating and interpreting determinants, finding eigenvalues and eigenvectors, and so on. On the other hand, there is a theoretical side to linear algebra involving abstract vector spaces, subspaces, linear independence, spanning sets, bases, dimension, and linear transformations. But there is much more to linear algebra than just vector spaces, matrices, and linear equations! The goal of this book is to explore a variety of advanced topics in linear algebra, which highlight the rich interconnections linking this subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The book consists of twenty chapters, grouped into six main subject areas (algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra). Some chapters approach introductory material from a more sophisticated or abstract viewpoint; other chapters provide elementary expositions of more theoretical concepts; yet other chapters offer unusual perspectives or novel treatments of standard results. Unlike some advanced mathematical texts, this book has been carefully designed to minimize the dependence of each chapter on material found in earlier chapters. Each chapter has been conceived as a "mathematical vignette" devoted to the development of one specific topic. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Background on algebraic structures |
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| Topical term or geographic name as entry element |
Matrices with special structure |
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Affine Combination |
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Banch Space |
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Cancellation law |
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Cayley -Hamilton theorem |
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Diagonalizable part, linear map |
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Euclidean plane |
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| Topical term or geographic name as entry element |
Free commutative group |
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| Topical term or geographic name as entry element |
Fundamental homomorphism theorem |
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| Topical term or geographic name as entry element |
Generalized distributive law |
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| Topical term or geographic name as entry element |
Hereditary system |
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Identity function |
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Jordan canoical form theorem |
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| Topical term or geographic name as entry element |
Linear map |
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Maximal chain |
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| Topical term or geographic name as entry element |
Nested quotient isomorphism theorem |
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| Topical term or geographic name as entry element |
One-to-one function |
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Parallelogram law |
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| Topical term or geographic name as entry element |
Quartic formula |
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| Topical term or geographic name as entry element |
Radon's theorem |
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| Topical term or geographic name as entry element |
Schroder-Bernstein theorem |
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Triangle inequality |
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Universal mapping property |
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Vector space |
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| Topical term or geographic name as entry element |
Zorn's lemma |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |