Interactive Systems for Experimental Applied Mathematics - 1st Edition - ISBN: 9780123956088, 9780323148481

Interactive Systems for Experimental Applied Mathematics

1st Edition

Editors: Melvin Klerer
eBook ISBN: 9780323148481
Imprint: Academic Press
Published Date: 1st January 1968
Page Count: 486
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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




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© Academic Press 1968
Academic Press
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About the Editor

Melvin Klerer

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