The Art of Modeling in Science and Engineering with Mathematica
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The Art of Modeling in Science and Engineering with Mathematica

The Art of Modeling in Science and Engineering with Mathematica


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About the Book

Modeling is practiced in engineering and all physical sciences. Many specialized texts exist - written at a high level - that cover this subject. However, students and even professionals often experience difficulties in setting up and solving even the simplest of models. This can be attributed to three difficulties: the proper choice of model, the absence of precise solutions, and the necessity to make suitable simplifying assumptions and approximations. Overcoming these difficulties is the focus of The Art of Modeling in Science and Engineering. The text is designed for advanced undergraduate and graduate students and practicing professionals in the sciences and engineering with an interest in Modeling based on Mass, Energy and Momentum or Force Balances. The book covers a wide range of physical processes and phenomena drawn from chemical, mechanical, civil, environmental sciences and bio- sciences. A separate section is devoted to "real World" industrial problems. The author explains how to choose the simplest model, obtain an appropriate solution to the problem and make simplifying assumptions/approximations.

Table of Contents:
INTRODUCTION Conservation Laws and Auxiliary Relations Properties and Categories of Balances Three Physical Configurations Types of ODE and AE Mass Balance Information Obtained from Model Solutions THE SETTING UP OF BALANCES MORE ABOUT MASS, ENERGY AND MOMENTUM BALANCES The Terms in Various Balances Mass Balances Energy Balances Force and Momentum Balances Combined Mass and Energy Balances Combined Mass, Energy and Momentum Balances ORDINARY DIFFERENTIAL EQUATIONS Definitions and Classifications Boundary and Initial Conditions Analytical Solutions of ODEs Numerical Methods Non-Linear Analysis THE LAPLACE TRANSFORMATION General Properties of the Laplace Transform Application to Differential Equations Block Diagrams: A Simple Control System Overall Transfer Function; Stability Criterion; Laplace Domain Analysis SPECIAL TOPICS Biomedical Engineering, Biology and Biotechnology A Visit to the Environment Welcome to the Real World PARTIAL DIFFERENTIAL EQUATIONS: CLASSIFICATION, TYPES, AND PROPERTIES; SOME SIMPLE TRANSFORMATIONS AND SOLUTIONS Properties and Classes of PDEs PDEs of Major Importance Useful Simplifications and Transformations PDE's PDQ: Locating Solutions in Related Disciplines; Solution by Simple Superposition Methods VECTOR CALCULUS: GENERALIZED TRANSPORT EQUATIONS Vector Notation and Vector Calculus Transport of Mass Transport of Energy Transport of Momentum SOLUTION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS Separation of Variables Laplace Transformation and Other Integral Transforms The Method of Characteristics

Review :
"a very comprehensive, yet mainly traditional, book on mathematical modelling aimed essentially at the chemical engineering and related areas -- although I would feel happy about recommending this book to anyone interested in mathematical modelling in any area of science and engineeringa great readIt ranges over many applicationsthe treatment in each case takes no prisoners, and is very sophisticated -- it is definitely addressed to the competent mathematics graduatePlenty of references for further reading and many exercises, projects, etc, make this another gold-mine." - The Mathematical Gazette, November 2001 "The author's writing style is frank, simple and directbook is quite readableaccessible to a wide variety of readers." --RL Houston


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Product Details
  • ISBN-13: 9781584880127
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Chapman & Hall/CRC
  • Height: 235 mm
  • No of Pages: 688
  • Returnable: N
  • Width: 156 mm
  • ISBN-10: 1584880120
  • Publisher Date: 28 Jun 1999
  • Binding: Hardback
  • Language: English
  • No of Pages: 688
  • Weight: 1061 gr


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The Art of Modeling in Science and Engineering with Mathematica
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The Art of Modeling in Science and Engineering with Mathematica
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