Interactive Systems for Experimental Applied Mathematics

Interactive Systems for Experimental Applied Mathematics

1st Edition - January 1, 1968

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  • Editor: Melvin Klerer
  • eBook ISBN: 9780323148481

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Interactive Systems for Experimental Applied Mathematics is a collection of papers presented at the 1967 Association for Computing Machinery (ACM) Inc. Symposium on Interactive Systems for Experimental Mathematics, held in Washington, D.C. in conjunction with the ACM National Meeting. This book is organized into five parts encompassing 46 chapters. The opening part deals with the general criteria for interactive on-line systems that seem most important for the experimental solution of mathematical problems. This part specifically describes the AMTRAN, REDUCE, EASL, POSE, VENUS, and CHARYBDIS computer systems and languages. The next two parts cover the components of interactive systems, including coherent programming, interactive console, mathematical symbol processing, message system, and computer-aided instruction. The fourth part examines a scheme for permitting a user of conventional procedural programming languages, namely, FORTRAN, to test actual error propagation in numerical calculations. This part also describes the features of Analyst Assistance Program, an on-line graphically oriented conversational computing system designed to perform small nonrecurring numerical computations. The concluding part presents several implications of selected computer systems, the resulting problems, and their proposed solutions. This book is of great benefit to computer scientists and engineers, mathematicians, and undergraduate and graduate students in applied mathematics.

Table of Contents

  • List of Contributors


    Interactive Systems from the User's Point of View

    Interactive Programming and Automated Mathematics

    On the User's Point of View

    The APL\360 Terminal System

    The Maniac II System

    AMTRAN: Automatic Mathematical Translation

    Structure of a Language for a Numerical Analysis Problem Solving System

    REDUCE: A User-Oriented Interactive System for Algebraic Simplification

    Two Analyst-Oriented Computer Languages: EASL, POSE

    VENUS: A Small Interactive Nonprocedural Language

    AL: An Artificial Language

    Active Language I

    The Engineering Assistant: Design of a Symbol Manipulation System

    CHARYBDIS: A LISP Program to Display Mathematical Expressions on Typewriter-like Devices

    Components of Interactive Systems Coherent Programming in the Lincoln Reckoner

    Algebraic Manipulation on Computers for Scientists and Engineers

    An Interactive Console Operating as Background in a Large Computer System

    Design Philosophy for an Interactive Keyboard Terminal

    A Facility for User Definition of Simple Problem Oriented Languages

    Mathematical Symbol Processing

    LC2: A Language for Conversational Computing

    AMTRAN: Implications of an Interactive Mathematical Computer System for an Educational Institution

    What is Different about AMTRAN?

    An Object Code for Interactive Applied Mathematical Programming

    The Slave Interactive System: A One-User Interactive Executive Grafted on a Remote-Batch Computing System

    The Development of Systems for On-Line Mathematics at Harvard

    Other Topics of Interest to Interactive Systems

    An Analysis of Computer Operations Under Running Time Priority Disciplines

    A Message System for Interactive Dialog

    A Macroscopic Model of an Interactive Computing System

    A Content-Evaluating Mode of Computer-Aided Instruction

    OLDAS: An On-Line Continuous System Simulation Language

    Automation of Applied Mathematics

    On the Construction of Polyalgorithms for Automatic Numerical Analysis

    A Proposed Numerical Accuracy Control System

    A Learning Program for the Integration of Systems of Ordinary Differential Equations

    On Experiences with PIL, an Interpretive Language, in an Undergraduate Numerical Methods Course

    Curve Fitting and Editing via Interactive Graphics

    FORTRAN Codes to Fit Curves Interactively

    Analyst Assistance Program (AAP)

    Implementation of Interactive Systems

    Mathematical Laboratories: A New Power for the Physical Sciences

    Implementation of a Reckoner Facility on the Lincoln Laboratory IBM 360/67

    The Implementation of APL\360

    Implementation Considerations in a Numerical Analysis Problem Solving System

    An Implementation of Automatic Array Arithmetic by a Generalized Push-Down Stack

    An Example of the Manipulation of Directed Graphs in the AMBIT/G Programming Language

    Syntax-Directed Recognition of Hand-Printed two-Dimensional Mathematics

    A Model for Interactive Systems Design



Product details

  • No. of pages: 486
  • Language: English
  • Copyright: © Academic Press 1968
  • Published: January 1, 1968
  • Imprint: Academic Press
  • eBook ISBN: 9780323148481

About the Editor

Melvin Klerer

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