This page contains links to Mathematica companion notebooks for the textbook. Each notebook is a text file with suffix .NB that can be opened in Mathematica. Mathematica is a computer algebra system and a notebook opened in Mathematica can define and execute mathematical statements for investigating the concepts presented in the textbook. Each notebook has a set of predefined functions to help you with each specific section of the book. A notebook opened in a text editor will not be usable since it contains code to be interpreted by Mathematica.

Interactive Mathematica 3.0 Packages

• ReadMe

• ZIP file - (Win3.1, Win95, Win98, UNIX, Mac) (75K)
• TAR file - (Win3.1, Win95, Win98, UNIX, Mac) (260K)
• Binhex/Stuffit file - (Macintosh) (105K)

All files have a .NB suffix signifying a Mathematica file.

Individual Mathematica 3.0 notebooks, PDF files, and descriptions

Mathematica notebooks can be downloaded through web browser's contextual menu via links below. PDF files can be viewed by clicking on links below or downloading to local computer.

• The Mathematica Functions
  (APPENDA.NB - 245K, APPENDA.pdf - 117K)
  In this Notebook we show at 47 examples how to use those built-in Mathematica functions.

• Metric Tensor Components
  (PROG1-1.NB - 15K, PROG1-1.pdf - 40K)
  The program prog1-1.nb, which follows below, enables one to compute the analytic expressions for the metric tensor g components in the cylindrical coordinates.

• Metric Tensor Components
  (PROG1-2.NB - 12K, PROG1-2.pdf - 36K)
  The program prog1-2.nb, which follows below, enables one to compute the analytic expressions for the metric tensor g components in the spherical coordinates.

• Metric Tensor Components in the Oblique-Angled Coordinates
  (PROG1-3.NB - 14K, PROG1-3.pdf - 43K)
  This Notebook enables the user to compute the analytic expressions for the metric tensor components g_ij as well as the expressions forthe covariant basis vectors e¹ and e¹ in terms of the contravariant basis vectors e₁ and e₂ in the oblique-angled coordinate system.

• The Motion Trajectories
  (PROG1-4.NB - 110K, PROG1-4.pdf - 68K)
  This Notebook enables the user to find: (1) the motion trajectories; (2) the components of velocity and acceleration; (3) the streamlines for a given velocity field

• The Lagrangian and Eulerian Strain Tensors
  (PROG1-5.NB - 15K, PROG1-5.pdf - 52K)
  This Notebook enables the user to find the analytic expressions for the components of the Lagrangian and Eulerian strain tensors for a displacement field given in the Cartesian basis.

• The Strain and Rotation Tensors
  (PROG1-6.NB - 14K, PROG1-6.pdf - 40K)
  This Notebook enables the user to find the analytic expressions for the strain tensor and the rotation tensor for the case where the displacement vector components are given in Cartesian basis.

• Determination of Vortex Lines from a Given Velocity Field
  (PROG1-7.NB - 15K, PROG1-7.pdf - 48K)
  This Notebook enables the user to find the analytic expressions for the vortex lines from a velocity field given in a Cartesian basis.

• Determination of Streamines and Vortex Lines from a Given Velocity Field
  (PROG1-8.NB - 15K, PROG1-8.pdf - 42K)
  This Notebook enables the user to find the analytic expressions for the vortex lines from a velocity field given in a Cartesian basis.

• The Christoffel Symbols in the Spherical Coordinates
  (PROG2-1.NB - 20K, PROG2-1.pdf - 56K)
  This Notebook enables the user to find the analytic expressions for the Christoffel symbols in the spherical coordinates.

• The Noncirculatory Flow Past The Cylinder
  (PROG4-1.NB - 66K, PROG4-1.pdf - 36K)
  This Notebook implements with Mathematica the analytical solution (4.2.12) of the problem of a noncirculatory stationary irrotational flow of an incompressible fluid past the cylinder.

• The Circulatory Flow Past the Cylinder. The Case of Two Critical Points
  (PROG4-2.NB - 117K, PROG4-2.pdf - 42K)
  This Notebook implements with Mathematica the analytical solution (4.2.14) of the problem of a circulatory stationary irrotational flow of an incompressible fluid past the cylinder for the case of one or two critical points.

• The Circulatory Flow Past the Cylinder. The Case of a Single Critical Point
  (PROG4-3.NB - 91K, PROG4-3.pdf - 44K)
  This Notebook implements with Mathematica the analytical solution (4.2.14) of the problem of a circulatory stationary irrotational flow of an incompressible fluid past the cylinder for the case of one or two critical points.

• Incompressible Fluid Flow Around a Plate
  (PROG4-4.NB - 55K, PROG4-4.pdf - 44K)
  This Notebook implements with Mathematica the analytical solution (4.2.29), (4.2.30) of the problem of a circulatory planar stationary flow of an incompressible fluid around a plate.

• Axisymmetric Incompressible Fluid Flow Around the Body of Revolution. Method of Sources and Sinks
  (PROG4-5.NB - 108K, PROG4-5.pdf - 61K)
  This Notebook solves the problem of incompressible fluid flow around a body of revolution by the method of sou