Description
A Modern Introduction to Differential Equations (3rd Ed.)
Author: Ricardo Henry J.
Language: EnglishKeywords
Almost linear system; Associated linear system; Backward Euler; Bifurcation; Compartment problem; Continuous; Cumulative error; Dirac delta function; Equilibria; Equilibrium solution; Euler method; Exponential order; Fifth-order; First-order; Fourth-order; Global behavior; Hartman–Grobman theorem; Heaviside function; Hopf bifurcation; Hyperbolic equilibrium point; Improved Euler; Jacobian; Laplace transform; Limit cycle; Linear; Linear approximation; Local behavior; Local error; Lotka–Volterra equations; Nonhyperbolic equilibrium point; Nonlinear system; Phase line; Phase portrait; Piece-wise continuous; Pitchfork; Propagated error; Saddle-node; Second-order; Separable; Singular solution; Sink; Slope field; Stiff differential equation; Subcritical; Supercritical; Superposition Principle; Tangent plane; Transcritical; Truncation error; Undamped pendulum; Unit impulse function; Unit step function; Van der Pol equation
556 p. · 19x23.3 cm · Hardback
Description
/li>Contents
/li>Readership
/li>Biography
/li>Comment
/li>
A Modern Introduction to Differential Equations, Third Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical and numerical aspects of first-order equations, including slope fields and phase lines. The comprehensive resource then covers methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients, systems of linear differential equations, the Laplace transform and its applications to the solution of differential equations and systems of differential equations, and systems of nonlinear equations.
Throughout the text, valuable pedagogical features support learning and teaching. Each chapter concludes with a summary of important concepts, and figures and tables are provided to help students visualize or summarize concepts. The book also includes examples and updated exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering.
1. Introduction to Differential Equations2. First-Order Differential Equations3. The Numerical Approximation of Solutions4. Second- and Higher-Order Equations5. The Laplace Transform6. Systems of Linear Differential Equations7. Systems of Nonlinear Differential Equations
- Offers an accessible and highly readable resource to engage students
- Introduces qualitative and numerical methods early to build understanding
- Includes a large number of exercises from biology, chemistry, economics, physics and engineering
- Provides exercises that are labeled based on difficulty/sophistication and end-of-chapter summaries
These books may interest you
Ordinary Differential Equations 63.25 €
Ordinary Differential Equations 68.56 €