INDICE: Preface xi1. Basics of Linear Algebra 11.1 Notation and Terminology11.2 Vector and Matrix Norms 41.3 Dot Product and Orthogonality 81.4 Special Matrices 91.5 Vector Spaces 211.6 Linear Independence and Basis 241.7 Orthogonalization and Direct Sums 301.8 Column Space, Row Space and Null Space 341.9 Orthogonal Projections 431.10 Eigenvalues and Eigenvectors 471.11 Similarity 561.12 Bezier Curves Postscripts Fonts 591.13 Final Remarks and Further Reading 682. Ranking Web Pages 792.1 The Power Method 802.2 Stochastic, Irreducible and Primitive Matrices 842.3 Google’s PageRank Algorithm 922.4 Alternatives toPower Method 1062.5 Final Remarks and Further Reading 1203. Matrix Factorizations 1313.1 LU Factorization 1323.2 QR Factorization 1423.3 Singular Value Decomposition (SVD) 1553.4 Schur Factorization 1663.5 Information Retrieval 1863.6 Partition of Simple Substitution Cryptograms 1943.7 Final Remarks and Further Reading 2034. Least Squares 2154.1 Projections and Normal Equations 2154.2 Least Squares and QR Factorization 2244.3 Lagrange Multipliers 2284.4 Final Remarks and Further Reading 2315. Image Compression 2355.1 Compressing with Discrete Cosine Transform 2365.2 Huffman Coding 2605.3 Compression with SVD 2675.4 Final Remarks and Further Reading 2716. Ordinary Differential Equations 2776.1One-Dimensional Differential Equations 2786.2 Linear Systems of Differential Equations 3076.3 Solutions via Eigenvalues and Eigenvectors 3086.4 Fundamentals Matrix Solution 3126.5 Final Remarks and Further Reading 3167. Dynamical Systems 3257.1 Linear Dynamical Systems 3267.2 Nonlinear Dynamical Systems 3407.3Predator-Prey Models with Harvesting 3747.4 Final Remarks and Further Reading3858. Mathematical Models 3958.1 Optimization of a Waste Management System 3968.2 Grouping Problem in Networks 4048.3 American Cutaneous Leishmaniasis 4108.4 Variable Population Interactions 420References 431Index 435Â
- ISBN: 978-1-118-22962-0
- Editorial: John Wiley & Sons
- Encuadernacion: Cartoné
- Páginas: 456
- Fecha Publicación: 04/05/2012
- Nº Volúmenes: 1
- Idioma: Inglés