The Oxford Linear Algebra for Scientists
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Estimated delivery time: Expected time of arrival: end of January 2026.
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Product details:
- Edition number 1
- Publisher OUP Oxford
- Date of Publication 9 June 2022
- ISBN 9780198844921
- Binding Paperback
- No. of pages432 pages
- Size 245x170x22 mm
- Weight 818 g
- Language English
- Illustrations 56 line figures and haltones 319
Categories
Short description:
Aimed at first-year undergraduate student in physics and engineering, this textbook combines a rigorous theoretical introduction to linear algebra with many examples, solved problems, and exercises, as well as scientific applications of the subject, including internet search, artificial intelligence, and quantum computing.
MoreLong description:
This textbook provides a modern introduction to linear algebra, a mathematical discipline every first year undergraduate student in physics and engineering must learn. A rigorous introduction into the mathematics is combined with many examples, solved problems, and exercises as well as scientific applications of linear algebra. These include applications to contemporary topics such as internet search, artificial intelligence, neural networks, and quantum computing, as well as a number of more advanced topics, such as Jordan normal form, singular value decomposition, and tensors, which will make it a useful reference for a more experienced practitioner.
Structured into 27 chapters, it is designed as a basis for a lecture course and combines a rigorous mathematical development of the subject with a range of concisely presented scientific applications. The main text contains many examples and solved problems to help the reader develop a working knowledge of the subject and every chapter comes with exercises.
The authors are uniquely well qualified to produce a textbook suitable for first-year university students.
Table of Contents:
Linearity - an informal introduction
Sets and functions
Groups
Fields
Coordinate vectors
Vector spaces
Elementary vector space properties
Vector subspaces
The dot product
Vector and triple product
Lines and planes
Introduction to linear maps
Matrices
The structure of linear maps
Linear maps in terms of matrices
Computing with matrices
Linear systems
Determinants
Basics of eigenvalues
Diagonalising linear maps
The Jordan normal form
Scalar products
Adjoint and unitary maps
Diagonalisation - again
Bi-linear and sesqui-linear forms
The dual vector space
Tensors
