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Zusatztext "...It deserves to become a popular textbook with instructor and student alike". (Zentralblatt MATH! Vol.1008! No.8! 2003) Informationen zum Autor Howard Anton obtained his B.A. from Lehigh University, his M.A. from the University of Illinois, and his Ph.D. from the Polytechnic Institute of Brooklyn, all in mathematics. He worked in the manned space program at Cape Canaveral in the early 1960's. In 1968 he became a research professor of mathematics at Drexel University in Philadelphia, where he taught and did mathematical research for 15 years. In 1983 he left Drexel as a Professor Emeritus of Mathematics to become a full-time writer of mathematical textbooks. There are now more than 150 versions of his books in print, including translations into Spanish, Arabic, Portuguese, French, German, Chinese, Japanese, Hebrew, Italian, and Indonesian. He was awarded a Textbook Excellence Award in 1994 by the Textbook Authors Association, and in 2011 that organization awarded his Elementary Linear Algebra text its McGuffey Award. Klappentext From one of the premier authors in higher education comes a new linear algebra textbook that fosters mathematical thinking, problem-solving abilities, and exposure to real-world applications. Without sacrificing mathematical precision, Anton and Busby focus on the aspects of linear algebra that are most likely to have practical value to the student while not compromising the intrinsic mathematical form of the subject. Throughout Contemporary Linear Algebra, students are encouraged to look at ideas and problems from multiple points of view. Zusammenfassung From one of the premier authors in higher education comes a new linear algebra textbook that fosters mathematical thinking, problem-solving abilities, and exposure to real-world applications. Without sacrificing mathematical precision, Anton and Busby focus on the aspects of linear algebra that are most likely to have practical value to the student while not compromising the intrinsic mathematical form of the subject. Throughout Contemporary Linear Algebra, students are encouraged to look at ideas and problems from multiple points of view. Inhaltsverzeichnis CHAPTER 1 Vectors 1 1.1 Vectors and Matrices in Engineering and Mathematics; n-Space 1 1.2 Dot Product and Orthogonality 15 1.3 Vector Equations of Lines and Planes 29 CHAPTER 2 Systems of Linear Equations 39 2.1 Introduction to Systems of Linear Equations 39 2.2 Solving Linear Systems by Row Reduction 48 2.3 Applications of Linear Systems 63 CHAPTER 3 Matrices and Matrix Algebra 79 3.1 Operations on Matrices 79 3.2 Inverses; Algebraic Properties of Matrices 94 3.3 Elementary Matrices; A Method for Finding A?109 3.4 Subspaces and Linear Independence 123 3.5 The Geometry of Linear Systems 135 3.6 Matrices with Special Forms 143 3.7 Matrix Factorizations; LU-Decomposition 154 3.8 Partitioned Matrices and Parallel Processing 166 CHAPTER 4 Determinants 175 4.1 Determinants; Cofactor Expansion 175 4.2 Properties of Determinants 184 4.3 Cramer's Rule; Formula for A ? Applications of Determinants 196 4.4 A First Look at Eigenvalues and Eigenvectors 210 CHAPTER 5 Matrix Models 225 5.1 Dynamical Systems and Markov Chains 225 5.2 Leontief Input-Output Models 235 5.3 Gauss-Seidel and Jacobi Iteration; Sparse Linear Systems 241 5.4 The Power Method; Application to Internet Search Engines 249 CHAPTER 6 Linear Transformations 265 6.1 Matrices as Transformations 265 6.2 Geometry of Linear Operators 280 6.3 Kernel and Range 296 6.4 Composition and Invertibility of Linear Transformations 305 6.5 Computer Graphics 318 CHAPTER 7 Dimension and Structure 329 ...
