Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: Notesfiles; site smu.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxj!ihnp4!inuxc!pur-ee!uiucdcs!smu!leff From: leff@smu.UUCP Newsgroups: net.math.symbolic Subject: Through nfpipe Message-ID: <35800002@smu.UUCP> Date: Mon, 17-Sep-84 17:48:00 EDT Article-I.D.: smu.35800002 Posted: Mon Sep 17 17:48:00 1984 Date-Received: Tue, 25-Sep-84 05:48:44 EDT Lines: 43 Nf-ID: #N:smu:35800002:000:2414 Nf-From: smu!leff Sep 17 16:48:00 1984 Table of Contents for R. H. Rand Computer Algebra in Applied Mathematics Research Notes in Mathematics 94 An Introduction to Macsyma Pitman Advanced Publishing Program Boston London Melbourne Chapter 1. Introduction to MACSYMA ....................................... 1 Example 1. Complex Variables ............................................. 1 Example 2. Euler-Lagrange equation ....................................... 3 Example 3. First Order O.D.E.'s .......................................... 5 Example 4. Period of a nonlinear oscillator .............................. 9 Example 5. Laplace transforms ............................................ 15 Example 6. Eigensolution of a system of O. D. E.'s ....................... 18 Exercise. Boundary Value Problem ......................................... 25 Chapter 2. Housekeeping in MACSYMA ....................................... 31 Disk files ............................................................... 31 Special keys ............................................................. 36 The editor ............................................................... 38 Chapter 3. Programming in MACSYMA ........................................ 41 Example 1. Taylor series solution of O. D. E's ........................... 42 Example 2. Lagrange'S equations .......................................... 52 Example 3. Hamilton's equations .......................................... 57 Exercise. Laplace Transforms ............................................. 64 Chapter 4. Perturbation Methods .......................................... 71 Example 1. Van der Pol's equation ........................................ 71 Example 2. Mathieu's equation ............................................ 87 Example 3. Duffing's equation ............................................ 124 Questions of convergence ................................................. 135 Exercise. The Two Variable Expansion Method .............................. 145 Epilogue. On Bugs ........................................................ 162 Appendix. Sample Batch program ........................................... 164 Glossary of MACSYMA Functions ............................................ 169 References ............................................................... 175 Index .................................................................... 177