Differential equations : theory, technique, and practice
著者
書誌事項
Differential equations : theory, technique, and practice
（Textbooks in mathematics）（A Chapman & Hall book）
CRC Press, c2015
2nd ed
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注記
Includes bibliographical references (p. 533-534)
内容説明・目次
内容説明
"Krantz is a very prolific writer. He ... creates excellent examples and problem sets."
-Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USA
Designed for a one- or two-semester undergraduate course, Differential Equations: Theory, Technique and Practice, Second Edition educates a new generation of mathematical scientists and engineers on differential equations. This edition continues to emphasize examples and mathematical modeling as well as promote analytical thinking to help students in future studies.
New to the Second Edition
Improved exercise sets and examples
Reorganized material on numerical techniques
Enriched presentation of predator-prey problems
Updated material on nonlinear differential equations and dynamical systems
A new appendix that reviews linear algebra
In each chapter, lively historical notes and mathematical nuggets enhance students' reading experience by offering perspectives on the lives of significant contributors to the discipline. "Anatomy of an Application" sections highlight rich applications from engineering, physics, and applied science. Problems for review and discovery also give students some open-ended material for exploration and further learning.
目次
What is a Differential Equation? Second-Order Linear Equations. Qualitative Properties and Theoretical Aspects. Power Series Solutions and Special Functions. Fourier Series: Basic Concepts. Partial Differential Equations and Boundary Value Problems. Laplace Transforms. The Calculus of Variations. Numerical Methods. Systems of First-Order Equations. The Nonlinear Theory. Dynamical Systems. Appendix on Linear Algebra.
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