Differential Equations with Applications and Historical Notes

Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of ones own time. An unfortunate effect of the predominance of fads is that if a student doesnt learn about such worthwhile topics as the wave equation, Gausss hypergeometric function, the gamma function, and the basic problems of the calculus of variationsamong othersas an undergraduate, then he/she is unlikely to do so later. The natural place for an informal acquaintance with such ideas is a leisurely introductory course on differential equations. Specially designed for just such a course, Differential Equations with Applications and Historical Notes takes great pleasure in the journey into the world of differential equations and their wide range of applications. The authora highly respected educatoradvocates a careful approach, using explicit explanation to ensure students fully comprehend the subject matter. With an emphasis on modeling and applications, the long-awaited Third Edition of this classic textbook presents a substantial new section on Gausss bell curve and improves coverage of Fourier analysis, numerical methods, and linear algebra. Relating the development of mathematics to human activityi.e., identifying why and how mathematics is usedthe text includes a wealth of unique examples and exercises, as well as the authors distinctive historical notes, throughout. Provides an ideal text for a one- or two-semester introductory course on differential equations Emphasizes modeling and applications Presents a substantial new section on Gausss bell curve Improves coverage of Fourier analysis, numerical methods, and linear algebra Relates the development of mathematics to human activityi.e., identifying why and how mathematics is used Includes a wealth of unique examples and exercises, as well as the authors distinctive historical notes, throughout Uses explicit explanation to ensure students fully comprehend the subject matter Outstanding Academic Title of the Year, Choice magazine, American Library Association.