000			a
999			_c33232 _d33232
008			240405b xxu||||| |||| 00| 0 eng d
020			_a9780198844921
082			_a512.5 _bLUK
100			_aLukas, Andre
245			_aThe Oxford Linear Algebra for Scientists
260			_bOxford University Press, _c2022 _aOxford :
300			_axix,412 p. ; _bill., _c24 cm
365			_b27.49 _c£ _d109.40
504			_aIncludes index.
520			_aThis 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			_aAlgebra
650			_aQuantum mechanics.
650			_aLinear map
650			_aEigenvalues
650			_a Coordinate vectors
650			_aScience Mathematics
650			_aVector spaces
650			_aLinear algebra
942			_2ddc _cBK