CD-ROM Table of Contents ------------------------- ** CDREADME.TXT - generic review of how to use the files on the CD-ROM ** CDTOC.TXT - The CD-ROM Table of Contents ** LEGAL.TXT - Legal information for using this book/CD-ROM package ** MAPLdemo - Contains Maple demo software for Macintosh (PowerPCs and Non-PPC), Windows and Unix users without Maple software -------------------------------------------------------- Installation Files for Maple Demo are: Maple version 4 - WINDOWS MAPLE.001 SPLASH.BMP INSTALL.EXE DISK.ID ORDERINF.TXT README.TXT Maple version 4 - MACINTOSH Maple (FPU) Maple (PPC) How to Order library folder NEWUSER.MWS Read Me First! TOPIC01.MWS TOPIC02.MWS TOPIC03.MWS TOPIC04.MWS TOPIC05.MWS TOPIC06.MWS TOPIC07.MWS TOPIC08.MWS TOPIC09.MWS TOPIC10.MWS TOPIC11.MWS TOPIC12.MWS USERMENU.MWS ------------------------------------------------------- ** MapleR4files - contain 22 Maple worksheets for Maple Release 4. These files end in .MWS. ** MapleR3files - contain 19 Maple worksheets for Maple Release 3. These files end in .MS. The primary files on the CD-ROM are the 41 Maple worksheets (mws extensions for Release 4 and ms extensions for Release 3). The following is an outline of these (organized according to the corresponding chapter in the book) and the other auxiliary files on the CD, with a brief descriptions of their contents. Worksheet Contents and Suggested Use ----------------------------------------------------------- CHAPTER 5: Computational Analysis. CH5.MWS (CH5.MS) Example 5.1 (1-d heat flow), Example 5.2 (1-d heat flow), Example 5.4 (Gibb's phenomenon), theory and history of Fourier series. Maple topics: procedures, plot options, fsolve and solve. ----------------------------------------------------------- CHAPTER 6: Two Dimensional Heat Flow. CH6A.MWS (CH6A.MS) Example 6.1 (Heat flow in a square plate), Example 6.2 (Heat flow in a square plate), Maple topics: scaling axes, orientation, thickness, and linecolor in plot3d, the sequence command, arrays. CH6B.MWS (CH6B.MS) Example 6.3 (A semi-homogeneous heat flow in a square plate), Maple topics: color and z-hue in plot3d, animations with the options z-hue and contour. CH6C.MWS (CH6C.MS) Example 6.4 (A square plate with nonhomogeneous BC's), the Gibbs phenomenon and odd/even periodic extensions for functions of two variables. ----------------------------------------------------------- CHAPTER 7: Boundary Value Problems. CH7A.MWS (CH7A.MS) Example 7.1 (A Dirichlet problem with continuous BCs), Example 7.3 (A Dirichlet problem with discontinuous BCs), Gibbs phenomenon, isotherms, Maple topic: implicitplot. CH7B.MWS (CH7B.MS) Example 7.4 (A Dirichlet Problem with discontinuous BCs), Maple topics: contours, plotting heat flow lines with DEplot, options (obsrange, color, arrows, dirgrid) in DEplot, plotting flows dynamically with a special procedure called DDEplot. CH7C.MWS (CH7C.MS) Example 7.5 (A Neumann problem for a square plate), Examples 7.8 & 7.9 (Mixed BVPs for a square plate), plotting heat flow lines. ----------------------------------------------------------- CHAPTER 8: Three Dimensional Heat Flow. CH8A.MWS (CH8A.MS) [NOTE: computers with less memory use CH8A1.MWS, CH8A2.MWS, CH8A3.MWS.] Example 8.2 (A mixed BVP for the unit cube), 3-d visualization via slices, isotherms, and heat flow plots, Maple topics: implicitplot3d, DEplot3d, options for DEplot3d, plotting flows dynamically with a special procedure called DDEplot3d. CH8B.MWS (CH8B.MS) Example 8.3 (A heat IBVP for the unit cube), visualization, via slices and temperature profiles/spacetime surfaces along a given line segment. CH8C.MWS (CH8C.MS) Example 8.4 (A nonhomogeneous heat IBVP for the unit cube), evolution toward the steady state, isotherms of the steady state. ----------------------------------------------------------- CHAPTER 10: Fluid Mechanics. CH10A.MWS (CH10A.MS) History of the Euler equations for a non-viscous fluid, Examples: an infinite row of vortices and Karman's vortex sheet, Maple topic: a special procedure called DDEplot. CH10B.MWS (CH10B.MS) Example: flow out of a channel, exercise: the pitot tube, Maple topic: conformal plots. CH10C.MWS (CH10C.MS) Joukowski airfoils (cambered and uncambered), flow past airplane wings. ----------------------------------------------------------- CHAPTER 11: Waves in Elastic Materials. CH11A.MWS (CH11A.MS) Example 11.2 (A traveling triangular wave on a string), Example 11.3 (A traveling wave and an oscillating boundary), reversibility of the motion, animations, spacetime surface. CH11B.MWS (CH11B.MS) Example 11.4 (A traveling parabolic wave on a membrane), Example 11.5 (A wave on a membrane with two free boundaries), animations. CH11C.MWS (CH11C.MS) Example: A traveling circular wave on a large membrane. ----------------------------------------------------------- CHAPTER 12: The Heat IBVP in Polar Coordinates. CH12A.MWS (CH12A.MS) Example 12.1 (A heat IBVP for a disk), Bessel functions of the 1st and 2nd kinds, computing zeros of Bessel functions and coefficients for Fourier-Bessel series, Maple topics: save, read, type, int, Int, cylinderplot, piecewise defined functions, animations in polar coordinates. CH12B.MWS (CH12B.MS) Example 12.2 (A heat IBVP for an annulus), calculation of eigenvalues and Fourier-Bessel coefficients numerically, Maple topics: diff, unapply, and inert forms. CH12C.MWS (CH12C.MS) Example 12.3 (A Dirichlet problem for a disk with piecewise defined boundary data), Example 12.4 (A Dirichlet problem for a disk with cosine wave boundary data), plotting flows in polar coordinates, Maple topic: spacecurve.