A Modern Introduction to Differential Equations

3rd Auflage
ISBN: 978-0-12-823417-4
Verlag: Elsevier Science

Buch, Englisch, 556 Seiten, Format (B × H): 191 mm x 235 mm, Gewicht: 1250 g

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.

Zielgruppe

Upper level undergraduate & graduate students from a variety of majors, taking courses that include Differential Equations

Autoren/Hrsg.

Ricardo, Henry J

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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

Über Autor(innen)

Ricardo, Henry J
Henry J. Ricardo works at Medgar Evers College of the City University of New York in Brooklyn, USA.