Ordinary Differential Equations: Concepts, Methods, and Models : A Course after Calculus 2 （2026. x, 717 S. X, 717 p. 122 illus., 111 illus. in color. 235 mm）

Becker, Leigh C.

SPRINGER, BERLIN; SPRINGER（2026/05発売）

• 製本 Hardcover:ハードカバー版
• 商品コード 9783032151490

Full Description

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.

Contents

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.