Differential Equations with Applications and Historical Notes: Edition 3

┬╖ CRC Press
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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 oneтАЩs own time. An unfortunate effect of the predominance of fads is that if a student doesnтАЩt learn about such worthwhile topics as the wave equation, GaussтАЩs hypergeometric function, the gamma function, and the basic problems of the calculus of variationsтАФamong othersтАФas 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 authorтАФa highly respected educatorтАФadvocates 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 GaussтАЩs bell curve and improves coverage of Fourier analysis, numerical methods, and linear algebra. Relating the development of mathematics to human activityтАФi.e., identifying why and how mathematics is usedтАФthe text includes a wealth of unique examples and exercises, as well as the authorтАЩs 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 GaussтАЩs bell curve
  • Improves coverage of Fourier analysis, numerical methods, and linear algebra
  • Relates the development of mathematics to human activityтАФi.e., identifying why and how mathematics is used
  • Includes a wealth of unique examples and exercises, as well as the authorтАЩs 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.

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George F. Simmons has academic degrees from the California Institute of Technology, Pasadena, California; the University of Chicago, Chicago, Illinois; and Yale University, New Haven, Connecticut. He taught at several colleges and universities before joining the faculty of Colorado College, Colorado Springs, Colorado, in 1962, where he is currently a professor of mathematics. In addition to Differential Equations with Applications and Historical Notes, Third Edition (CRC Press, 2016), Professor Simmons is the author of Introduction to Topology and Modern Analysis (McGraw-Hill, 1963), Precalculus Mathematics in a Nutshell (Janson Publications, 1981), and Calculus with Analytic Geometry (McGraw-Hill, 1985).

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