MARC Record from marc_columbia

LEADER: 04700cam a2200469Ia 4500
001 10612929
005 20140219122805.0
008 090112s2009 maua 001 0 eng d
010 $a 93014092
020 $a9780980232714
020 $a0980232716
020 $a9780980232721 (International ed.)
020 $a0980232724 (International ed.)
035 $a(OCoLC)ocn298178914
035 $a(NNC)10612929
040 $aYDXCP$beng$cYDXCP$dBTCTA$dTXA$dUBA$dSINLB$dCDX$dDEBBG$dOCL$dUBY$dALAUL$dEDK$dGBVCP$dFDA$dOHS
050 4 $aQA184$b.S78 2009
082 04 $a512.5$222
084 $aMAT 150f$2stub
084 $aSK 220$2rvk
084 $a31.25$2bcl
100 1 $aStrang, Gilbert.
245 10 $aIntroduction to linear algebra /$cGilbert Strang.
250 $a4th ed.
260 $aWellesley, MA :$bWellesley-Cambridge Press,$cc2009.
300 $aix, 574 p. :$bill. ;$c24 cm.
520 $aBook Description: 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.
500 $aIncludes index.
505 0 $a1: Introduction To Vectors: -- 1-1: Vectors and linear combinations -- 1-2: Lengths and dot products -- 1-3: Matrices -- 2: Solving Linear Equations: -- 2-1: Vectors and linear equations -- 2-2: Idea of elimination -- 2-3: Elimination using matrices -- 2-4: Rules for matrix operations -- 2-5: Inverse matrices -- 2-6: Elimination = factorization: A = LU -- 2-7: Transposes and permutations -- 3: Vector Spaces And Subspaces: -- 3-1: Spaces of vectors -- 3-2: Nullspace of A: Solving Ax = 0 -- 3-3: Rank and the row reduced form -- 3-4: Complete solution to Ax = b -- 3-5: Independence, basis and dimension -- 3-6: Dimensions of the four subspaces -- 4: Orthogonality: -- 4-1: Orthogonality of the four subspaces -- 4-2: Projections -- 4-3: Least squares approximations -- 4-4: Orthogonal bases and gram-Schmidt -- 5: Determinants -- 5-1: Properties of determinants -- 5-2: Permutations and cofactors -- 5-3: Cramer's rule, inverses, and volumes -- 6: Eigenvalues And Eigenvectors: -- 6-1: Introduction to eigenvalues -- 6-2: Diagonalizing a matrix -- 6-3: Applications to differential equations -- 6-4: Symmetric matrices -- 6-5: Positive definite matrices -- 6-6: Similar matrices -- 6-7: Singular Value Decomposition (SVD) -- 7: Linear Transformations: -- 7-1: Idea of a linear transformation -- 7-2: Matrix of a linear transformation -- 7-3: Diagonalization and the pseudoinverse -- 8: Applications: -- 8-1: Matrices in engineering -- 8-2: Graphs and networks -- 8-3: Markov matrices, population, and economics -- 8-4: Linear programming -- 8-5: Fourier series: linear algebra for functions -- 8-6: Linear algebra for statistics and probability -- 8-7: Computer graphics -- 9: Numerical Linear Algebra: -- 9-1: Gaussian elimination in practice -- 9-2: Norms and condition numbers -- 9-3: Iterative methods and preconditioners -- 10: Complex vectors and matrices -- 10-1: Complex numbers -- 10-2: Hermitian and unitary matrices -- 10-3: Fast Fourier transform -- Solutions to selected exercises -- Conceptual questions for review -- Glossary: A dictionary for linear algebra -- Matrix factorizations -- Teaching codes -- Index -- Linear algebra in a nutshell.
650 2 $aMathematics.
650 0 $aAlgebras, Linear$vTextbooks.
650 0 $aAlgebra$vTextbooks.
650 0 $aMathematics$vTextbooks.
650 7 $aÁlgebra linear.$2larpcal
650 07 $aLineare Algebra.$2swd
650 04 $aÁlgebra linear.
650 07 $aLineare Algebra.$0(DE-588)4035811-2$2gnd
653 0 $aAlgebras, Linear$aTextbooks
856 42 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=017311178&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA$yConnect now
856 $uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017311178&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA$zInhaltsverzeichnis
852 00 $bsci$hQA184$i.S78 2009
852 00 $bsci$hQA184$i.S78 2009