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Mathematical Modeling for the Scientific Method

Author(s): David W. Pravica, PhD, Professor, East Carolina University
Michael J Spurr, Professor, East Carolina University
Details:
  • ISBN-13: 9780763779467
  • Hardcover    492 pages      © 2012
Price: International Sales $135.95 US List
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Overview

Part of the International Series in Mathematics

Mathematical Modeling for the Scientific Method is intended for the sophomore/junior-level student seeking to be well-grounded in mathematical modeling for their studies in biology, the physical sciences, engineering, and/or medicine. It clarifies the connection between deductive and inductive reasoning as used in Mathematics and Science and urges students to think critically about concepts and applications. The authors’ goal is to be introductory in level while covering a broad range of techniques. They unite topics in statistics, linear algebra, calculus and differential equations, while discussing how these subjects are interrelated and utilized. Mathematical Modeling for the Scientific Method leaves students with a clearer perspective of the role of mathematics within the sciences and the understanding of how to rationally work through even rigorous applications with ease.

Look to Sample and Additional Resources section below to view the complete preface and full table of conents.

ShowKey Features

  • Provides a sense of scope to those areas in Mathematics that have found application in Science.
  • Asks students to think critically about the application at hand and work through multi-step, project-based problem sets.
  • Introduces Statistics early on to bridge the gap between deductive and induction reasoning.
  • Approaches the subject of Calculus intuitively through algebra and linearization.
  • Scans a range of topics of modern interest to scientists.
     

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ShowTable of Contents

Part  1  Foundations
  Chapter  1  Review of Algebra
  Chapter  2  Functions and Relations
  Chapter  3  Statistics
Part  2  Multidimensionality
  Chapter  4  Linear Algebra and Matrices
  Chapter  5  Calculus
  Chapter  6  Vector Calculus and Differential Equations
Part  3  Applications
  Chapter  7  Mathematical Modeling
  Chapter  8  The Scientifc Method
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ShowAbout the Author(s)

David W. Pravica, PhD-Professor, East Carolina University

Michael J Spurr-Professor, East Carolina University

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ShowAppropriate Courses

This textbook is appropriate for the following courses:

  • Mathematical Modeling
  • Calculus for the Biological Sciences
  • Mathematics for the Chemical and Physical Sciences
  • Concise Differential Equations/Linear Algebra with Applications
  • Probability Functions
  • Statistical Methods in the Sciences
  • Reference Manual for basic Algebra, Statistics, Linear Algebra, Calculus,
    Vector Calculus, Differential Equations, and Modeling in the Sciences
  • Iteration Methods as applied to Science
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ShowSamples & Additional Resources

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ShowResources

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