A First Course in Differential Equations

by J. David Logan

The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications . This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject. This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB® supplement that gives basic codes and commands for solving differential equations. MATLAB® is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com.

Genres: Mathematics

382 pages, Paperback

First published August 13, 2005

Reviews

[Lucas · Rating 5 out of 5]

Introdução bem gentil às equações diferenciais ordinárias. Agora sinto que tenho uma noção bem melhor sobre EDOs de primeira e segunda ordem. O capítulo sobre a transformada de Laplace foi completamente novo para mim. Como economista, achei ruim que a maioria dos exemplos eram sobre física e engenharia, mas também há exemplos de demografia que achei bem interessantes.

Fiquei bem satisfeito com a leitura e espero entender melhor agora cálculo de variações e teoria do controle ótimo. A ver.