Search Results - "linear algebra"

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    MATLAB Guide by Higham, Desmond J. 1964-, Higham, Nicholas J. 1961-

    Published 2017
    Table of Contents: “…1: A Brief Tutorial -- 2: Basics -- 3: Distinctive Features of MATLAB -- 4: Arithmetic -- 5: Matrices -- 6: Operators and Flow Control -- 7: Program Files -- 8: Graphics -- 9: Linear Algebra -- 10: More on Functions -- 11: Numerical Methods: Part I -- 12: Numerical Methods: Part II -- 13: Input and Output -- 14: Troubleshooting -- 15: Sparse Matrices -- 16: More on Coding -- 17: Advanced Graphics -- 18: Other Data Types and Multidimensional Arrays -- 19: Object-Oriented Programming -- 20: The Symbolic Math Toolbox -- 21: Graphs -- 22: Large Data Sets -- 23: Optimizing Codes -- 24: Tricks and Tips -- 25: The Parallel Computing Toolbox -- 26: Case Studies…”
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    DIFFERENTIAL EQUATIONS An Introduction to Modern Methods and Applications by Brannan, James R., Boyce, William E.

    Published 2015
    Table of Contents: “…CHAPTER 5 The Laplace Transform -- 5.1 Definition of the Laplace Transform -- 5.2 Properties of the Laplace Transform -- 5.3 The Inverse Laplace Transform -- 5.4 Solving Differential Equations with Laplace Transforms -- 5.5 Discontinuous Functions and Periodic Functions -- 5.6 Differential Equations with Discontinuous Forcing Functions -- 5.7 Impulse Functions -- 5.8 Convolution Integrals and Their Applications -- 5.9 Linear Systems and Feedback Control -- Projects -- 5.P.1 An Electric Circuit Problem -- 5.P.2 The Watt Governor, Feedback Control, and Stability -- CHAPTER 6 Systems of First Order Linear Equations -- 6.1 Definitions and Examples -- 6.2 Basic Theory of First Order Linear Systems -- 6.3 Homogeneous Linear Systems with Constant Coefficients -- 6.4 Nondefective Matrices with Complex Eigenvalues -- 6.5 Fundamental Matrices and the Exponential of a Matrix -- 6.6 Nonhomogeneous Linear Systems -- 6.7 Defective Matrices -- Projects -- 6.P.1 Earthquakes and Tall Buildings -- 6.P.2 Controlling a Spring-Mass System to Equilibrium -- CHAPTER 7 Nonlinear Differential Equations and Stability -- 7.1 Autonomous Systems and Stability -- 7.2 Almost Linear Systems -- 7.3 Competing Species -- 7.4 Predator-Prey Equations -- 7.5 Periodic Solutions and Limit Cycles -- 7.6 Chaos and Strange Attractors: The Lorenz Equations -- Projects -- 7.P.1 Modeling of Epidemics -- 7.P.2 Harvesting in a Competitive Environment -- 7.P.3 The Rossler System -- CHAPTER 8 Numerical Methods -- 8.1 Numerical Approximations: Euler's Method -- 8.2 Accuracy of Numerical Methods -- 8.3 Improved Euler and Runge-Kutta Methods -- 8.4 Numerical Methods for Systems of First Order Equations -- Projects -- 8.P.1 Designing a Drip Dispenser for a Hydrology Experiment -- 8.P.2 Monte Carlo Option Pricing: Pricing Financial Options by Flipping a Coin -- APPENDIX A Matrices and Linear Algebra. A.1 Matrices -- A.2 Systems of Linear Algebraic Equations, Linear Independence, and Rank -- A.3 Determinants and Inverses -- A.4 The Eigenvalue Problem -- Answers -- References -- Index --…”
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