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Applied mathematics and modeling for chemical engineers / Richard G. Rice, Duong D. Do.

By: Rice, Richard G.
Contributor(s): Duong, D. Do.
Material type: materialTypeLabelBookSeries: Wiley series in chemical engineering: Publisher: New York : Wiley, 1995Description: xiv, 706 p. ; 26 cm.ISBN: 0471303771.Subject(s): Differential equations | Chemical processes -- Mathematical models | Chemical engineering -- MathematicsDDC classification: 660.2842015118
Contents:
Formulation of physicochemical problems -- Solution techniques for models yielding ordinary differential equations (ODE) -- Series solution methods and special functions -- Integral functions -- Staged-process models: The calculus of finite differences -- Approximate solution methods for ODE: Perturbation methods -- Numerical solution methods (Initial value problems) -- Approximate methods for boundary value problems: Weighted residuals -- Introduction to complex variables and laplace transforms -- Solution techniques for models producing PDEs -- Transform methods for linear PDEs -- Approximate and numerical solution methods for PDEs.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 660.2842015118 (Browse shelf(Opens below)) 1 Available 00015730
Total holds: 0

Enhanced descriptions from Syndetics:

Bridges the gap between classical analysis and modern applications. Following the chapter on the model building stage, it introduces traditional techniques for solving ordinary differential equations, adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. Also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations.

Includes bibliographical references and index.

Formulation of physicochemical problems -- Solution techniques for models yielding ordinary differential equations (ODE) -- Series solution methods and special functions -- Integral functions -- Staged-process models: The calculus of finite differences -- Approximate solution methods for ODE: Perturbation methods -- Numerical solution methods (Initial value problems) -- Approximate methods for boundary value problems: Weighted residuals -- Introduction to complex variables and laplace transforms -- Solution techniques for models producing PDEs -- Transform methods for linear PDEs -- Approximate and numerical solution methods for PDEs.

Table of contents provided by Syndetics

  • Formulation of Physicochemical Problems
  • Solution Techniques for Models Yielding Ordinary Differential Equations (ODE)
  • Series Solution Methods and Special Functions
  • Integral Functions
  • Staged-Process Models: The Calculus of Finite Differences
  • Approximate Solution Methods for ODE: Perturbation Methods
  • Numerical Solution Methods (Initial Value Problems)
  • Approximate Methods for Boundary Value Problems: Weighted Residuals
  • Introduction to Complex Variables and Laplace Transforms
  • Solution Techniques for Models Producing PDEs
  • Transform Methods for Linear PDEs
  • Approximate and Numerical Solution Methods for PDEs
  • Appendices
  • Nomenclature
  • Postface
  • Index

Reviews provided by Syndetics

CHOICE Review

Rice and Do have prepared an excellent exposition of higher mathematics in the solution of problems regularly arising in the design and operation of chemical processes. They teach students how to initially formulate the problem for mathematical solution, i.e., how to "model" the process or device in mathematical terms. Especially important here is the series of highly illustrative problems demonstrating models of ever increasing complexity and hence better precision. Higher mathematics as defined here includes those situations requiring the formulation and solution of differential equations. The mathematical methods covered are therefore those presenting various available "closed form" or numerical techniques. Solution of those problems that can be formulated as algebraic equation systems, such as in "steady state" process design, are best solved by the algebraic "optimization" techniques usually considered under the topic of operations research and are not included here. This work assumes the use of a computer, particularly in carrying out numerical solution methods. However, there is no discussion to help the reader appreciate the limits of analytical techniques or to know when they should be abandoned in favor of numerical methods and simulation. Level: upper-division undergraduate through professional. T. J. Williams; Purdue University

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