George F. Simmons

Differential Equations with Applications and Historical Notes (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Designed for an introductory course on differential equations, this book uses explicit explanation to ensure students fully comprehend the subject matter. Emphasizing modeling and applications, the third edition of this classic text presents a substantial new section on Gauss's bell curve and improves coverage of Fourier analysis, numerical methods, and linear algebra. Relating the development of mathematics to human activity, the text includes unique examples and exercises, as well as the author's distinctive historical notes, throughout.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 764
• Erscheinungstermin: 17. November 2016
• Englisch
• ISBN-13: 9781498702621
• Artikelnr.: 59297382

Autorenporträt

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).

Inhaltsangabe

The Nature of Differential Equations: Separable Equations. First-Order
Equations. Second-Order Linear Equations. Qualitative Properties of
Solutions. Power Series Solutions and Special Functions. Fourier Series and
Orthogonal Functions. Partial Differential Equations and Boundary Value
Problems. Some Special Functions of Mathematical Physics. Laplace
Transforms. Systems of First-Order Equations. Nonlinear Equations. Calculus
of Variations. The Existence and Uniqueness of Solutions. Numerical
Methods. Numerical Tables.