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Computer algebra: History, Community, Applications & Science

In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects. Although computer algebra could be considered a subfield of scientific…

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Computer algebra topic overview

The analysis highlights History, Community, Applications and Science as prominent areas in the source structure around Computer algebra.

Related topics
96
Source areas
7
Connected nodes
103
Extracted relationships
53
Related term clusters
33
Bridge connections
103

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 36 topics
History · 25 topics
Algorithms used in computer algebra · 11 topics
Computer science aspects · 9 topics
Scientific community · 7 topics
Mathematical aspects · 6 topics
Terminology · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Terminology

Scientific community

Computer science aspects

Mathematical aspects

History

Algorithms used in computer algebra

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

How Computer algebra connects Entity context

The extracted context around Computer algebra shows recurring relationship patterns in the source. For example, Computer algebra → ALTRAN, John McCarthy, Lisp, Massachusetts Institute, McCarthy, Predecessors, Project MAC, Recursive, SAIL, Stanford AI Laboratory, Stanford University, Technology, Though Another extracted example is Computer algebra → Betty Snyder, ENIAC, Female, Frances Bilas, IBM, Jean Jennings, Kay McNulty, Marlyn Wescoff, Pennsylvania, Ruth Lichterman, University. Use these groups to spot repeated connection types before inspecting the individual relationships.

Computer algebra

Top relations

has application · 13
Computer algebra → ALTRAN, John McCarthy, Lisp, Massachusetts Institute, McCarthy, Predecessors, Project MAC, Recursive, SAIL, Stanford AI Laboratory, Stanford University, Technology, Though
related to Human-driven computer algebra · 11
Computer algebra → Betty Snyder, ENIAC, Female, Frances Bilas, IBM, Jean Jennings, Kay McNulty, Marlyn Wescoff, Pennsylvania, Ruth Lichterman, University
related to Scientific community · 9
Computer algebra → Algebraic Computation, Algebraic Manipulation, Association, Computing Machinery, International Symposium, ISSAC, SIGSAM, Special Interest Group, Symbolic
related to Historic problems · 4
Computer algebra → Classical, Euclid's, Euclidean, Thus
related to Terminology · 4
Computer algebra → English, French, Symbolic, Typically

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

algebra computer computation expressions symbolic expression mathematical may numbers used systems algorithms rewriting also like usually represented algebraic called numerical

Computer algebra relationships Subject–Predicate–Object triples

TTTA extracted 53 structured relationships around Computer algebra. Examples in this analysis include Mathematica → instance of → and some commercial ones and the polynomials → instance of → equality may be tested only on some classes of expressions. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Mathematicainstance ofand some commercial ones0.80text
Mapleinstance ofand some commercial ones0.80text
use the GMP libraryinstance ofand some commercial ones0.80text
which is thus a de facto standard.ExpressionsExcept for numbersinstance ofand some commercial ones0.80text
variablesinstance ofand some commercial ones0.80text
every mathematical expression may be viewed as the symbol of an operator followed by a sequence of operandsinstance ofand some commercial ones0.80text
which is thus a de facto standardinstance ofand some commercial ones0.80text
the polynomialsinstance ofequality may be tested only on some classes of expressions0.80text
rational fractions.To test the equality of two expressionsinstance ofequality may be tested only on some classes of expressions0.80text
instead of designing specific algorithmsinstance ofequality may be tested only on some classes of expressions0.80text
it is usual to put expressions in some canonical form or to put their difference in a normal forminstance ofequality may be tested only on some classes of expressions0.80text
and to test the syntactic equality of the result.In computer algebrainstance ofequality may be tested only on some classes of expressions0.80text

Related concept clusters Related term clusters

The concept neighborhoods around Computer algebra bring nearby vocabulary together. In this analysis, examples include Algebra, Computer and Symbolic. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Computer algebra
    • Algebra
    • Computer
    • Symbolic
    • Computation
    • Systems
    • Algebraic
    • Also
    • Algorithms
    • Several
    • Used
    • Mathematical
    • Expressions
  • computer algebra
    • Algebra
    • Computer
    • Computation
    • Symbolic
    • Systems
    • Algebraic
    • Algorithms
    • Also
    • Several
    • Used
    • Mathematical
    • Expressions
  • computer science
    • Algebra
    • Symbolic
    • Computation
    • Systems
    • Algebraic
    • Also
    • Algorithms
    • Several
    • Used
    • Mathematical
    • Expressions
    • Rule
  • mathematical expression
    • Expressions
    • May
    • Operands
    • Equality
    • Numbers
    • Symbolic
    • Scientific
    • Simplification
    • Represented
    • Data
    • Software
    • Representation
  • numerical computation
    • Symbolic
    • Computer
    • Used
    • Scientific
    • Algebraic
    • Algorithms
    • Numbers
    • Several
    • Systems
    • Expressions
    • Data
    • Integers
  • computer algebra systems
    • Algebra
    • Computer
    • Computation
    • Symbolic
    • Systems
    • Algebraic
    • Algorithms
    • Also
    • Several
    • Used
    • Rewriting
    • Mathematical
  • journal of symbolic computation
    • Symbolic
    • Computer
    • Algebraic
    • Algorithms
    • Programming
    • Several
    • Used
    • Systems
    • Expressions
    • Scientific
    • Data
    • Numerical
  • algebra
    • Computer
    • Computation
    • Symbolic
    • Systems
    • Algebraic
    • Algorithms
    • Also
    • Several
    • Used
    • Polynomial
    • Usually
    • Mathematical

Connections between topic areas Semantic bridges

For Computer algebra, one of the stronger structural bridges in this analysis connects Computer algebra with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Computer algebra — Overview · splits 67 ⟂ 37
Computer algebra — History · splits 78 ⟂ 26
Computer algebra — Algorithms used in computer algebra · splits 92 ⟂ 12
Computer algebra — Computer science aspects · splits 94 ⟂ 10
Computer algebra — Scientific community · splits 96 ⟂ 8
Computer algebra — Mathematical aspects · splits 97 ⟂ 7
Computer algebra — Terminology · splits 101 ⟂ 3

Map overview Semantic statistics

Computer algebra

Nodes104
Edges103
Triples53
Avg. degree1.98
Density0.019231
Components1

Source & methodology

TTTA analyzes the structure around Computer algebra to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History, Community, Applications & Science, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Computer algebra · EN edition · Analysis: TopicsToTalkAbout

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