Differential Equations and Linear Algebra

ISBN-10: 0131860615

ISBN-13: 9780131860612

Edition: 2nd 2007 (Revised)

List price: $204.40 Buy it from $75.80
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Description:

For sophomore-level courses in Differential Equations and Linear Algebra. nbsp; Extensively rewritten throughout, the Second Edition of thisnbsp;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 authorsrsquo; consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations -nbsp;and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative).
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Book details

List price: $204.40
Edition: 2nd
Copyright year: 2007
Publisher: Prentice Hall PTR
Publication date: 12/26/2006
Binding: Hardcover
Pages: 800
Size: 8.25" wide x 10.25" long x 1.25" tall
Weight: 3.476
Language: English

First-Order Differential Equations
Dynamical Systems: Modeling
Solutions and Direction Fields: Qualitative Analysis
Separation of Variables: Quantitative Analysis
Approximation Methods: Numerical Analysis
Picards Theorem: Theoretical Analysis
Linearity and Nonlinearity
Linear Equations: The Nature of Their Solutions
Solving the First-Order Linear Differential Equation
Growth and Decay Phenomena
Linear Models: Mixing and Cooling
Nonlinear Models: Logistic Equation
Systems of Differential Equations: A First Look
Linear Algebra
Matrices: Sums and Products
Systems of Linear Equations
The Inverse of a Matrix
Determinants and Cramers Rule
Vector Spaces and Subspaces
Basis and Dimension
Higher-Order Linear Differential Equations
The Harmonic Oscillator
Real Characteristic Roots
Complex Characteristic Roots
Undetermined Coefficients
Variation of Parameters
Forced Oscillations
Conservation and Conversion
Linear Transformations
Linear Transformations
Properties of Linear Transformations
Eigenvalues and Eigenvectors
Coordinates and Diagonalization
Linear Systems of Differential Equations
Theory of Linear DE Systems
Linear Systems with Real Eigenvalues
Linear Systems with Nonreal Eigenvalues
Stability and Linear Classification
Decoupling a Linear DE System
Matrix Exponential
Nonhomogeneous Linear Systems
Nonlinear Systems of Differential Equations
Nonlinear Systems
Linearization
Numerical Solutions
Chaos, Strange Attractors, and Period Doubling
Chaos in Forced Nonlinear Systems
Laplace Transforms
The Laplace Transform and Its Inverse
Solving DEs and IVPs with Laplace Transforms
The Step Function and the Delta Function
The Convolution Integral and the Transfer Function
Laplace Transform Solution of Linear Systems
Discrete Dynamical Systems
Iterative Equations
Linear Iterative Systems
Nonlinear Iterative Equations: Chaos Again
Control Theory
Feedback Controls
Introduction to Optimal Control
Pontryagin Maximum Principle
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