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      1. Naturvetenskap och teknik
      2. Matematik och naturvetenskap
      3. Matematik
      4. Algebra

      Elementary Linear Algebra, Application Version, International Adaptation, Revised Edition

      AvHoward Anton,Chris Rorres

      Häftad, Engelska, 2025

      871 kr

      Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

      Beskrivning

      Elementary Linear Algebra: Applications Version, 12th Edition, gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. In this edition, a new section has been added to describe the applications of linear algebra in emerging fields such as data science, machine learning, climate science, geomatics, and biological modeling. New exercises have been added with special attention to the expanded early introductionto linear transformations and new examples have been added, where needed, to support the exercise sets. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.

      Produktinformation

      • Utgivningsdatum:2025-09-11
      • Mått:270 x 20 x 210 mm
      • Vikt:1 785 g
      • Format:Häftad
      • Språk:Engelska
      • Antal sidor:816
      • Upplaga:12
      • Förlag:John Wiley & Sons Inc
      • ISBN:9781394378722

      Utforska kategorier

      • Algebra inom Naturvetenskap och teknik

      Innehållsförteckning

      • 1 Systems of Linear Equations and Matrices 11.1 Introduction to Systems of Linear Equations 21.2 Gaussian Elimination 111.3 Matrices and Matrix Operations 251.4 Inverses; Algebraic Properties of Matrices 401.5 Elementary Matrices and a Method for Finding A – 1 531.6 More on Linear Systems and Invertible Matrices 621.7 Diagonal, Triangular, and Symmetric Matrices 691.8 Introduction to Linear Transformations 761.9 Compositions of Matrix Transformations 901.10 Applications of Linear Systems 98Network Analysis 98Electrical Circuits 100Balancing Chemical Equations 103Polynomial Interpolation 1051.11 Leontief Input–Output Models 1102 Determinants 1192.1 Determinants by Cofactor Expansion 1192.2 Evaluating Determinants by Row Reduction 1272.3 Properties of Determinants; Cramer’s Rule 1343 Euclidean Vector Spaces 1493.1 Vectors in 2-Space, 3-Space, and n-Space 1493.2 Norm, Dot Product, and Distance in R n 1613.3 Orthogonality 1753.4 The Geometry of Linear Systems 1863.5 Cross Product 1934 General Vector Spaces 2054.1 Real Vector Spaces 2054.2 Subspaces 2144.3 Spanning Sets 2234.4 Linear Independence 2314.5 Coordinates and Basis 2414.6 Dimension 2514.7 Change of Basis 2594.8 Row Space, Column Space, and Null Space 2664.9 Rank, Nullity, and the Fundamental Matrix Spaces 2795 Eigenvalues and Eigenvectors 2955.1 Eigenvalues and Eigenvectors 2955.2 Diagonalization 3055.3 Complex Vector Spaces 3155.4 Differential Equations 3275.5 Dynamical Systems and Markov Chains 3336 Inner Product Spaces 3476.1 Inner Products 3476.2 Angle and Orthogonality in Inner Product Spaces 3586.3 Gram–Schmidt Process; QR-Decomposition 3676.4 Best Approximation; Least Squares 3826.5 Mathematical Modeling Using Least Squares 3916.6 Function Approximation; Fourier Series 3987 Diagonalization and Quadratic Forms 4077.1 Orthogonal Matrices 4077.2 Orthogonal Diagonalization 4167.3 Quadratic Forms 4247.4 Optimization Using Quadratic Forms 4377.5 Hermitian, Unitary, and Normal Matrices 4448 General Linear Transformations 4558.1 General Linear Transformations 4558.2 Compositions and Inverse Transformations 4688.3 Isomorphism 4808.4 Matrices for General Linear Transformations 4868.5 Similarity 4968.6 Geometry of Matrix Operators 5029 Numerical Methods 5199.1 LU-Decompositions 5199.2 The Power Method 5299.3 Comparison of Procedures for Solving Linear Systems 5389.4 Singular Value Decomposition 5429.5 Data Compression Using Singular Value Decomposition 55010 Applications of Linear Algebra 55510.1 Constructing Curves and Surfaces Through Specified Points 55510.2 The Earliest Applications of Linear Algebra 56110.3 Cubic Spline Interpolation 56810.4 Markov Chains 57810.5 Graph Theory 58710.6 Games of Strategy 59710.7 Forest Management 60510.8 Computer Graphics 61210.9 Equilibrium Temperature Distributions 62010.10 Computed Tomography 62910.11 Fractals 63910.12 Chaos 65510.13 Cryptography 66810.14 Genetics 67910.15 Age-Specific Population Growth 68810.16 Harvesting of Animal Populations 69710.17 A Least Squares Model for Human Hearing 70510.18 Warps and Morphs 71110.19 Internet Search Engines 72010.20 Facial Recognition 726Appendix A Working with Proofs A1Appendix B Complex Numbers A7Answers to Exercises A15Index i1
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