Applied Linear Analysis for Chemical Engineers : : A Multi-scale Approach with Mathematica® /

Applied Linear Analysis for Chemical Engineers : : A Multi-scale Approach with Mathematica® / / Vemuri Balakotaiah, Ram R. Ratnakar.

This textbook gives a unified treatment of the solution of various linear equations that arise in science and engineering with examples. It is based on a course taught by the first author for over thirty years. Some unique features include: Use of symbolic software for illustrating and enhancing the...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
VerfasserIn:
Balakotaiah, Vemuri,
R. Ratnakar, Ram,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2022]
©2023
Year of Publication:2022
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (XXII, 762 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Introduction
  • Contents
  • Part I: Applied matrix algebra
  • 1 Matrices and linear algebraic equations
  • 2 Determinants
  • 3 Vectors and vector expansions
  • 4 Solution of linear equations by eigenvector expansions
  • 5 Solution of linear equations containing a square matrix
  • 6 Generalized eigenvectors and canonical forms
  • 7 Quadratic forms, positive definite matrices and other applications
  • Part II: Abstract vector space concepts
  • Introduction
  • 8 Vector space over a field
  • 9 Linear transformations
  • 10 Normed and inner product vector spaces
  • 11 Applications of finite-dimensional linear algebra
  • Part III: Linear ordinary differential equations-initial value problems, complex variables and laplace transform
  • 12 The linear initial value problem
  • 13 Linear systems with periodic coefficients
  • 14 Analytic solutions, adjoints and integrating factors
  • 15 Introduction to the theory of functions of a complex variable
  • 16 Series solutions and special functions
  • 17 Laplace transforms
  • Part IV: Linear ordinary differential equations-boundary value problems
  • 18 Two-point boundary value problems
  • 19 The nonhomogeneous BVP and Green’s function
  • 20 Eigenvalue problems for differential operators
  • 21 Sturm–Liouville theory and eigenfunction expansions
  • 22 Introduction to the solution of linear integral equations
  • Part V: Fourier transforms and solution of boundary and initial-boundary value problems
  • 23 Finite Fourier transforms
  • 24 Fourier transforms on infinite intervals
  • 25 Fourier transforms in cylindrical and spherical geometries
  • Part VI: Formulation and solution of some classical chemical engineering problems
  • Introduction
  • 26 The classical Graetz–Nusselt problem
  • 27 Friction factors for steady-state laminar flow in ducts
  • 28 Multicomponent diffusion and reaction
  • 29 Packed-bed chromatography
  • 30 Stability of transport and reaction processes
  • Bibliography
  • Index

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