Introduction to linear algebra (Record no. 97753)

MARC details
000 -LEADER
fixed length control field 03266nam a2200157Ia 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 978-0-9802327-1
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Strang, Gilbert
245 ## - TITLE STATEMENT
Title Introduction to linear algebra
250 ## - EDITION STATEMENT
Edition statement 4
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Date of publication, distribution, etc. 2003
Name of publisher, distributor, etc. Wellwseley-Cambridge Press
Place of publication, distribution, etc. Wellesley
300 ## - PHYSICAL DESCRIPTION
Extent X, 573 P
Other physical details 24 cm; HB
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1: Introduction To Vectors: --<br/>1-1: Vectors and linear combinations --<br/>1-2: Lengths and dot products --<br/>1-3: Matrices --<br/>2: Solving Linear Equations: --<br/>2-1: Vectors and linear equations --<br/>2-2: Idea of elimination --<br/>2-3: Elimination using matrices --<br/>2-4: Rules for matrix operations --<br/>2-5: Inverse matrices --<br/>2-6: Elimination = factorization: A = LU --<br/>2-7: Transposes and permutations --<br/>3: Vector Spaces And Subspaces: --<br/>3-1: Spaces of vectors --<br/>3-2: Nullspace of A: Solving Ax = 0 --<br/>3-3: Rank and the row reduced form --<br/>3-4: Complete solution to Ax = b --<br/>3-5: Independence, basis and dimension --<br/>3-6: Dimensions of the four subspaces --<br/>4: Orthogonality: --<br/>4-1: Orthogonality of the four subspaces --<br/>4-2: Projections --<br/>4-3: Least squares approximations --<br/>4-4: Orthogonal bases and gram-Schmidt --<br/>5: Determinants --<br/>5-1: Properties of determinants --<br/>5-2: Permutations and cofactors --<br/>5-3: Cramer's rule, inverses, and volumes --<br/>6: Eigenvalues And Eigenvectors: --<br/>6-1: Introduction to eigenvalues --<br/>6-2: Diagonalizing a matrix --<br/>6-3: Applications to differential equations --<br/>6-4: Symmetric matrices --<br/>6-5: Positive definite matrices --<br/>6-6: Similar matrices --<br/>6-7: Singular Value Decomposition (SVD) --<br/>7: Linear Transformations: --<br/>7-1: Idea of a linear transformation --<br/>7-2: Matrix of a linear transformation --<br/>7-3: Diagonalization and the pseudoinverse --<br/>8: Applications: --<br/>8-1: Matrices in engineering --<br/>8-2: Graphs and networks --<br/>8-3: Markov matrices, population, and economics --<br/>8-4: Linear programming --<br/>8-5: Fourier series: linear algebra for functions --<br/>8-6: Linear algebra for statistics and probability --<br/>8-7: Computer graphics --<br/>9: Numerical Linear Algebra: --<br/>9-1: Gaussian elimination in practice --<br/>9-2: Norms and condition numbers --<br/>9-3: Iterative methods and preconditioners --<br/>10: Complex vectors and matrices --<br/>10-1: Complex numbers --<br/>10-2: Hermitian and unitary matrices --<br/>10-3: Fast Fourier transform --<br/>Solutions to selected exercises --<br/>Conceptual questions for review --<br/>Glossary: A dictionary for linear algebra --<br/>Matrix factorizations --<br/>Teaching codes --<br/>Index --<br/>Linear algebra in a nutshell.
520 ## - SUMMARY, ETC.
Summary, etc. Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, Fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
-- Algebras, Linear
-- Algebra
-- Geometry
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Total Checkouts Total Renewals Full call number Barcode Date last seen Date last checked out Price effective from Koha item type
    Dewey Decimal Classification     GSB Collection H.T. Parekh Library H.T. Parekh Library Reference 25/03/2010 14 2 512.5 STR 39374 19/12/2024 07/11/2024 22/06/2019 Books

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