Introduction to Differential Equations with Dynamical Systems
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A01=Richard Haberman
A01=Stephen L. Campbell
Addition
Algebraic equation
Amplitude
Approximation
Asymptote
Author_Richard Haberman
Author_Stephen L. Campbell
Calculation
Capacitor
Category=PBKJ
Chain rule
Characteristic equation
Characteristic polynomial
Coefficient
Complex number
Convolution theorem
Derivative
Diagram (category theory)
Differential equation
Dimension
Division by zero
Dynamical system
Eigenvalues and eigenvectors
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Equilibrium point
Euler's formula
Exponential growth
Forcing function (differential equations)
Homogeneous differential equation
Hooke's law
Initial condition
Initial value problem
Integrating factor
Inverse Laplace transform
Laplace transform
Linear combination
Linear differential equation
Linear equation
Linear stability
Linearization
Logistic function
Lyapunov stability
Matrix theory (physics)
Maxima and minima
Method of undetermined coefficients
Newton's laws of motion
Nonlinear system
Numerical analysis
Numerical integration
Ordinary differential equation
Parameter
Partial fraction decomposition
Periodic function
Phase line (mathematics)
Phase plane
Polynomial
Proportionality (mathematics)
Quadratic function
Quantity
Saddle point
Scientific notation
Special case
Summation
System of linear equations
Taylor series
Theorem
Trigonometric functions
Uniqueness theorem
Upper half-plane
Variable (mathematics)
Vector field
Voltage source
Wronskian
Product details
- ISBN 9780691124742
- Weight: 1049g
- Dimensions: 178 x 254mm
- Publication Date: 21 Apr 2008
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential equations. And, while covering all the standard parts of the subject, the book emphasizes linear constant coefficient equations and applications, including the topics essential to engineering students. Stephen Campbell and Richard Haberman--using carefully worded derivations, elementary explanations, and examples, exercises, and figures rather than theorems and proofs--have written a book that makes learning and teaching differential equations easier and more relevant. The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.
Stephen L. Campbell is professor of mathematics and director of the graduate program in mathematics at North Carolina State University. Richard Haberman is professor of mathematics at Southern Methodist University. Campbell and Haberman are prolific researchers in applied mathematics and the authors of a number of textbooks.
