Mathematical Methods in Chemical and Biological Engineering

Binay Kanti Dutta

October 20, 2016 by CRC Press
Textbook - 694 Pages - 20 Color & 182 B/W Illustrations
ISBN 9781482210385 - CAT# K21650

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Features

  • Covers both the mathematical techniques and the physical applications of the mathematical solutions
  • Uses practical examples to illustrate fundamental concepts pertaining to modeling in chemical and biological engineering
  • Examines the formulation of physical problems into mathematical equations and specifications of initial and boundary conditions
  • Discusses problems that lead to ordinary differential equations (ODEs) with constant coefficients or those that lead to closed-form solutions
  • Addresses ODEs with variable coefficients that admit series solutions as special functions, especially as Bessel, Legendre. and hypergeometric functions
  • Explores a variety of second-order partial differential equation solution methodologies and applications, including non-homogeneous, moving boundary problems, and Green’s functions
  • Exemplifies important integral transforms, such as the Fourier transform and the Laplace transform, and the underlying mathematical principles and applications
  • Devotes a chapter to the approximate solution of model equations in terms of asymptotic series and regular and singular perturbation series
  • Reviews matrices, Fourier series, complex variables, common mathematical formulas and identities, Laplace transforms, and detailed derivations in the appendices
  • Provides more than 140 solved examples on a wide range of topics relevant to chemical and biological engineering, with reference to recent scientific and technical literature
  • Includes nearly 200 exercise problems and 100 multiple choice questions on mathematical principles and applications
  • Balances elucidation and rigor to ensure students gain a solid understanding of the mathematical principles and their physical applications

Summary

Mathematical Methods in Chemical and Biological Engineering describes basic to moderately advanced mathematical techniques useful for shaping the model-based analysis of chemical and biological engineering systems. Covering an ideal balance of basic mathematical principles and applications to physico-chemical problems, this book presents examples drawn from recent scientific and technical literature on chemical engineering, biological and biomedical engineering, food processing, and a variety of diffusional problems to demonstrate the real-world value of the mathematical methods. Emphasis is placed on the background and physical understanding of the problems to prepare students for future challenging and innovative applications.