Cover Image
Read Now

Reduce Software for Algebraic Computation

CONTRIBUTED BY DR. ANTHONY C. HEARN THE RAND CORPORATION, SANTA MONICA, CALIFORNIA REDUCE is a computer program for algebraic computation that IS III world-wide use by thousands of scientists, engineers, and mathematicians. Although it traces its beginnings to 1963, until recently it has only been a...

Full description

Bibliographic Details
Main Author: Rayna, Gerhard
Format: eBook
Language:English
Published: New York, NY Springer New York 1987, 1987
Edition:1st ed. 1987
Series:Artificial Intelligence
Subjects:
Applied Dynamical Systems
Algorithms
Nonlinear Theories
Mathematical Physics
Theoretical, Mathematical And Computational Physics
Mathematical Methods In Physics
Dynamics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1.Overview
  • 1.1. Variables, values, assignments
  • 1.2. The basic operations
  • 1.3. Giving commands, getting answers
  • 1.4. A first look at CLEAR
  • 1.5. WS, SAVEAS, INPUT n
  • 1.6. Some built-in functions
  • 1.7. NUM and DEN
  • 1.8. Differentiation
  • 1.9. Integration
  • 1.10. FOR … DO
  • 1.11. FOR … SUM
  • 1.12. FOR … PRODUCT
  • 1.13. WHILE … DO
  • 1.14. Boolean expressions
  • 1.15. REPEAT … UNTIL
  • 2. A Harder Look
  • 2.1. The SUBSTITUTION function
  • 2.2. ARRAY and OPERATOR
  • 2.3. Matrices
  • 2.4. The COEFF function
  • 2.5. FACTORIZE
  • 2.6. The SOLVE function
  • 2.7. LET and CLEAR
  • 2.8. WRITE
  • 2.9. Grouping
  • 2.10. IF… THEN
  • 2.11. PART and setting a PART
  • 3. Setting Modes and Options
  • 3.1. EXP
  • 3.2. GCD
  • 3.3. LCM
  • 3.4. MCD
  • 3.5. RESUBS
  • 3.6. ORDER
  • 3.7. FACTOR command
  • 3.8. FACTOR switch
  • 3.9. DIV
  • 3.10. RAT
  • 3.11. ALLFAC
  • 3.12. LIST
  • 3.13. NERO
  • 3.14. NAT, FORT
  • 3.15. PRI
  • 3.16. KORDER
  • 3.17. Domain modes
  • 4. Procedures
  • 4.1. Procedures without parameters or RETURN
  • 4.2. Procedures with RETURN
  • 4.3. Returning multiple values
  • 4.4. Procedures with one parameter
  • 4.5. Procedures with more than one parameter
  • 4.6. Procedures with local variables
  • 4.7. Interaction of procedures
  • 4.8. Linkage questions
  • 4.9. Procedures with GO TO
  • 4.10. LET rules as procedures
  • 5. Case Studies
  • 5.1. Find the variables
  • 5.2. Dividing polynomials
  • 5.3. LCM, GCD, and the Euclidean Algorithm
  • 5.4. Systems of linear equations
  • 5.5. Series approximations to quotients
  • 5.6. Families of polynomials
  • 5.7. Rationalizing denominators
  • 5.8. A bug involving surds
  • 5.9. Noncommuting symbols
  • 6. Running REDUCE
  • 6.1. The basics
  • 6.2. IN from files
  • 6.3. Making corrections
  • 6.4. INPUT, RETRY, CMD
  • 6.5. OUT, FORT, LINELENGTH
  • 6.6. COMPILE, FASLOUT, LOAD
  • 6.7.TIME, SHOWTIME
  • 6.8. DEFINE
  • 6.9. Tracing
  • 6.10. Expression input
  • 6.11. Lost in LISP?

Similar Items