| 000 -LEADER |
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| fixed length control field |
a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240405b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780198844921 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.5 |
| Item number |
LUK |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lukas, Andre |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
The Oxford Linear Algebra for Scientists |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Oxford University Press, |
| Date of publication, distribution, etc |
2022 |
| Place of publication, distribution, etc |
Oxford : |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xix,412 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
|---|
| Price amount |
27.49 |
| Price type code |
£ |
| Unit of pricing |
109.40 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This book provides a introduction into linear algebra which covers the mathematical set-up as well as applications to science. After the introductory material on sets, functions, groups and fields, the basic features of vector spaces are developed, including linear independence, bases, dimension, vector subspaces and linear maps. Practical methods for calculating with dot, cross and triple products are introduced early on. The theory of linear maps and their relation to matrices is developed in detail, culminating in the rank theorem. Algorithmic methods bases on row reduction and determinants are discussed an applied to computing the rank and the inverse of matrices and to solve systems of linear equations. Eigenvalues and eigenvectors and the application to diagonalising linear maps, as well as scalar products and unitary linear maps are covered in detail. Advanced topics included are the Jordon normal form, normal linear maps, the singular value decomposition, bi-linear and sesqui-linear forms, duality and tensors. The book also included short expositions of diverse scientific applications of linear algebra, including to internet search, classical mechanics, graph theory, cryptography, coding theory, data compression, special relativity, quantum mechanics and quantum computing. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebra |
|
|---|
| Topical term or geographic name as entry element |
Quantum mechanics. |
|
|---|
| Topical term or geographic name as entry element |
Linear map |
|
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| Topical term or geographic name as entry element |
Eigenvalues |
|
|---|
| Topical term or geographic name as entry element |
Coordinate vectors |
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| Topical term or geographic name as entry element |
Science Mathematics |
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| Topical term or geographic name as entry element |
Vector spaces |
|
|---|
| Topical term or geographic name as entry element |
Linear algebra |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Item type |
Books |