Introduction to Differential Equations with Dynamical Systems (eBook)

Stephen L. Campbell, Richard Haberman (Autoren)

eBook Download: EPUB

2011
Princeton University Press (Verlag)
978-1-4008-4132-5 (ISBN)

Infos

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.

Autor

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.

Produkt-Details

• Erscheint lt. Verlag: 14.10.2011
• Zusatzinfo: 150 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Technik
• Schlagworte: Addition • algebraic equation • Amplitude • Approximation • Asymptote • Calculation • capacitor • Cartesian coordinate system • chain rule • Change of variables • Characteristic equation • Characteristic Polynomial • clockwise • coefficient • complex number • continuous function • Convolution Theorem • coordinate system • Damping • Derivative • Determinant • Diagram (category theory) • differential equation • Differential (infinitesimal) • Dimension • Dirac delta function • Division by zero • Dynamical system • Eigenvalues and Eigenvectors • Electrical Engineering • Equation • Equilibrium Point • Euler equations (fluid dynamics) • Euler's formula • exponential growth • Forcing function (differential equations) • Function (mathematics) • Green's Function • Heaviside step function • 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 • Linearization • linear stability • logistic function • logistic map • Lyapunov stability • Mathematical problem • Mathematics • Matrix (mathematics) • matrix multiplication • Matrix theory (physics) • Maxima and minima • Method of undetermined coefficients • Newton's laws of motion • nonlinear system • Notation • Numerical analysis • Numerical Integration • Numerical methods for ordinary differential equations • ordinary differential equation • Oscillation • Parameter • partial derivative • Partial fraction decomposition • Periodic function • Phase line (mathematics) • phase plane • polynomial • Proportionality (mathematics) • Quadratic • quadratic function • Quantity • Reduction of order • resistor • Saddle point • scientific notation • separation of variables • Special case • step function • Summation • system of linear equations • Taylor series • Theorem • Trigonometric Functions • uniqueness theorem • Upper half-plane • Variable (mathematics) • Vector field • voltage drop • Voltage source • Wronskian • Zero of a function
• ISBN-10: 1-4008-4132-1 / 1400841321
• ISBN-13: 978-1-4008-4132-5 / 9781400841325