Lukas, Andre
The Oxford Linear Algebra for Scientists
- ISBN 13:
- 9780198844921
- author:
- Lukas, Andre
- format:
- Paperback / softback
- publisher:
- Oxford University Press
- language:
- English
- Publication Year:
- 2022
- Pages:
- 432
- Dimensions:
- 24.5 x 17 x 2.2 centimetres (0.8
- Genre:
- Science, Mathematics, Algebra,
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
This introduction to linear algebra covers both mathematical foundations and applications in science. Topics include vector spaces, linear independence, bases, dimension, and linear maps, as well as practical methods for working with dot, cross, and triple products.
Advanced topics such as the Jordan normal form, singular value decomposition, and bi-linear forms are also explored, alongside short expositions of diverse scientific applications of linear algebra. These include internet search, classical mechanics, graph theory, cryptography, coding theory, data compression, special relativity, quantum mechanics, and quantum computing.
Algorithmic methods based on row reduction and determinants are discussed, applied to computing the rank and inverse of matrices, and solving systems of linear equations. This comprehensive coverage provides a solid foundation for scientists and researchers in various fields.
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