Ordinary Differential Equations: Concepts, Methods, and Models

A Course after Calculus 2
Erscheinungsjahr 2026
ISBN: 978-3-032-15149-0
Verlag: Springer

Buch, Englisch, 842 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1453 g

This textbook is an introduction to the subject of ordinary differential equations (ODEs).  This book is intended for the student at the sophomore-level who has successfully completed the first two semesters of a typical college or university calculus sequence and who intends to enroll in engineering or mathematics courses or any one of the physical sciences courses involving ODEs---but it will also serve the student who will be taking courses in other disciplines that occasionally employ ODEs, such as actuarial science, econometrics, computational science, and operational research.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Becker, Leigh C.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

The Wonderful World of Differential Equations.- Separable and Related Equations.- Direction Fields, Trajectories, Solution Curves Introduction to Numerical Methods.- First-Order Linear and Related Equations.- Modeling with First-Order Equations.- Modeling Abrupt Changes.- Exact and Related Equations.- Existence-Uniqueness Theorems.- Second-Order Linear Equations.- Laplace Transforms.-Autonomous Homogeneous Linear Systems.- Matrix Exponential Functions and Series.

Über Autor(innen)

Leigh C. Becker is an emeritus professor of mathematics at Christian Brothers University in Memphis, Tennessee, where he was awarded the Dr. Marguerite Cooper Distinguished Professor Award for Excellence in Teaching in 2002 and 2012.  After retiring from CBU, he was a visiting professor of mathematics at Rhodes College in Memphis. He has also taught at Southern Illinois University.  Prior to teaching at the college level, he taught chemistry at a high school in Illinois and mathematics and physics at a German gymnasium in Hamburg.  He holds a Ph.D. and M.S. in mathematics from Southern Illinois University, an M.S. in physics from the University of Illinois at Champaign-Urbana, and a B.S. in physics from the Illinois Institute of Technology. His research publications are in the areas of fractional differential equations, integral equations, and integrodifferential equations.