Elementary differential equations and boundary value problems

著者

書誌事項

Elementary differential equations and boundary value problems

William E. Boyce, Richard C. DiPrima

Wiley, c2001

7th ed

  • : cloth

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

Written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year. The main prerequisite is a working knowledge of calculus. The environment in which instructors teach, and students learn differential equations has changed enormously in the past few years and continues to evolve at a rapid pace. Computing equipment of some kind, whether a graphing calculator, a notebook computer, or a desktop workstation is available to most students. The seventh edition of this classic text reflects this changing environment, while at the same time, it maintains its great strengths - a contemporary approach, flexible chapter construction, clear exposition, and outstanding problems. In addition many new problems have been added and a reorganisation of the material makes the concepts even clearer and more comprehensible. Like its predecessors, this edition is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of differential equations as they apply to engineering and the sciences.

目次

  • First Order Differential Equations
  • Second Order Linear Equations
  • Higher Order Linear Equations
  • Series Solutions of Second Order Linear Equations
  • The Laplace Transform
  • Systems of First Order Linear Equations
  • Numerical Methods
  • Nonlinear Differential Equations and Stability
  • Partial Differential Equations and Fourier Series
  • Boundary Value Problems and Sturm-Liouville Theory
  • Answers to Problems
  • Index

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