Differential Equations: Applied Mathematical Modeling, Nonlinear Analysis, and Computer Simulation in Engineering and Science - Hardcover

Serrano, Sergio E.

 
9780988865211: Differential Equations: Applied Mathematical Modeling, Nonlinear Analysis, and Computer Simulation in Engineering and Science

Inhaltsangabe

An introduction to ordinary differential equations and systems of ordinary differential equations, including new analytical methods to solve nonlinear equations, mathematical modeling, computer programming, computer graphics with MAPLE, and applications in science and engineering.

"... a new textbook that will thoroughly revolutionize the teaching and learning of differential equations with the vital goal of student retention always in sight." Dr. Randolph Rach, original coauthor of the Adomian's Decomposition Method.

  • New modern methods to solve nonlinear differential equations.
  • Integrated, balanced presentation of model development, solution methods, computer implementation, and analysis of system's response.
  • Designed to increase engineering and science student retention.
  • Mathematical and computer modeling with MAPLE. No prior knowledge of MAPLE required.
  • Emphasis on problem solving over mathematical rigorousness.
  • Clear and simple presentation of concepts with multitude of examples:
  • 125 solved examples, 70 computer programs, 146 proposed problems, 17 illustrations, 118 computer graphs, answers to problems, detailed bibliography.
  • Preference of general, systematic, analytical methods over complex numerical methods.
  • Self contained. Except for calculus, all necessary background is included.
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    Über die Autorin bzw. den Autor

    Dr. Sergio E. Serrano received his Ph.D. degree at the University of Waterloo (Canada). He is a full professor of engineering science and applied mathematics at a Research I university in the U. S. For the past thirty years, he has taught in several universities in the United States, Canada, Colombia, Spain, and China. He has over one hundred research publications in international science, engineering, and mathematics journals. He is also the author of nine books in environmental engineering, statistics, philosophy, and psychology. He has been an associate editor of the Water Science and Technology Library and the ASCE Journal of Hydrologic Engineering. Dr. Serrano pioneered the development of several new solutions of nonlinear equations in surface, subsurface, and contaminant hydrology. Dr. Serrano has been awarded four times with nationally-competitive research grants by the National Science Foundation, Washington, DC.

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    9780988865228: Differential Equations: Applied Mathematical Modeling, Nonlinear Analysis, and Computer Simulation in Engineering and Science

    Vorgestellte Ausgabe

    ISBN 10:  098886522X ISBN 13:  9780988865228
    Verlag: HydroScience, Incorporated, 2016
    Softcover