Farlow, Jerry; Hall, James E.; McDill, Jean Marie; West, Beverly H.
Differential Equations and Linear Algebra
### ISBN 13: 9780131860612

For sophomore-level courses in Differential Equations and Linear Algebra.

Extensively rewritten throughout, the Second Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses

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**Book Description **Pearson College Div, 2006. HRD. Book Condition: New. New Book. Shipped from UK within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # PJ-9780131860612

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**Book Description **Pearson, 2007. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 1 First-Order Differential Equations 1.1 Dynamical Systems: Modeling 1 1.2 Solutions and Direction Fields: Qualitative Analysis 11 1.3 Separation of Variables: Quantitative Analysis 25 1.4 Approximation Methods: Numerical Analysis 33 1.5 Picards Theorem: Theoretical Analysis 46 2 Linearity and Nonlinearity 2.1 Linear Equations: The Nature of Their Solutions 55 2.2 Solving the First-Order Linear Differential Equation 63 2.3 Growth and Decay Phenomena 73 2.4 Linear Models: Mixing and Cooling 80 2.5 Nonlinear Models: Logistic Equation 87 2.6 Systems of Differential Equations: A First Look 100 3 Linear Algebra 3.1 Matrices: Sums and Products 115 3.2 Systems of Linear Equations 130 3.3 The Inverse of a Matrix 146 3.4 Determinants and Cramers Rule 156 3.5 Vector Spaces and Subspaces 167 3.6 Basis and Dimension 177 4 Higher-Order Linear Differential Equations 4.1 The Harmonic Oscillator 195 4.2 Real Characteristic Roots 210 4.3 Complex Characteristic Roots 229 4.4 Undetermined Coefficients 244 4.5 Variation of Parameters 255 4.6 Forced Oscillations 261 4.7 Conservation and Conversion 274 5 Linear Transformations 5.1 Linear Transformations 285 5.2 Properties of Linear Transformations 300 5.3 Eigenvalues and Eigenvectors 311 5.4 Coordinates and Diagonalization 327 6 Linear Systems of Differential Equations 6.1 Theory of Linear DE Systems 343 6.2 Linear Systems with Real Eigenvalues 357 6.3 Linear Systems with Nonreal Eigenvalues 372 6.4 Stability and Linear Classification 384 6.5 Decoupling a Linear DE System 394 6.6 Matrix Exponential 400 6.7 Nonhomogeneous Linear Systems 410 7 Nonlinear Systems of Differential Equations 7.1 Nonlinear Systems 421 7.2 Linearization 431 7.3 Numerical Solutions 441 7.4 Chaos, Strange Attractors, and Period Doubling 449 7.5 Chaos in Forced Nonlinear Systems 456 8 Laplace Transforms 8.1 The Laplace Transform and Its Inverse 467 8.2 Solving DEs and IVPs with Laplace Transforms 475 8.3 The Step Function and the Delta Function 485 8.4 The Convolution Integral and the Transfer Function 499 8.5 Laplace Transform Solution of Linear Systems 509 9 Discrete Dynamical Systems 9.1 Iterative Equations 517 9.2 Linear Iterative Systems 530 9.3 Nonlinear Iterative Equations: Chaos Again 542 10 Control Theory 10.1 Feedback Controls 557 10.2 Introduction to Optimal Control 567 10.3 Pontryagin Maximum Principle 579. Bookseller Inventory # ABE_book_new_0131860615

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**Book Description **Pearson Education (US), United States, 2006. Hardback. Book Condition: New. 2nd Revised edition. 254 x 206 mm. Language: English . Brand New Book. For sophomore-level courses in Differential Equations and Linear Algebra. Extensively rewritten throughout, the Second Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses. The authors consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations - and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative). Bookseller Inventory # AAS9780131860612

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**Book Description **Pearson Education (US), United States, 2006. Hardback. Book Condition: New. 2nd Revised edition. 254 x 206 mm. Language: English . Brand New Book. For sophomore-level courses in Differential Equations and Linear Algebra. Extensively rewritten throughout, the Second Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses. The authors consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations - and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative). Bookseller Inventory # AAS9780131860612

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**Book Description **Pearson, 2007. Hardcover. Book Condition: New. Bookseller Inventory # P110131860615

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**Book Description **Prentice Hall, 2006. Hardcover. Book Condition: Brand New. 2nd edition. 705 pages. 10.25x8.25x1.25 inches. In Stock. Bookseller Inventory # z-0131860615

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**Book Description **Pearson Education (US). Hardback. Book Condition: new. BRAND NEW, Differential Equations and Linear Algebra (2nd Revised edition), James Hall, Jean McDill, Beverly West, Jerry Farlow, For sophomore-level courses in Differential Equations and Linear Algebra. Extensively rewritten throughout, the Second Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses. The authors' consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations - and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative). Bookseller Inventory # B9780131860612

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