Mathematics Branches, Topics, and Sub-Topics

A structured visual guide to the major mathematical areas and their relationships.

Search by code, branch, topic, subtopic, or a keyword from the descriptions.

26Exx Miscellaneous topics

This subtopic studies miscellaneous topics in real analysis and function theory, collecting specialized results and techniques that do not fit the main subclasses.

Specific topics

26E05 Real-analytic functions

Overview

26E05 studies real-analytic functions in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for real-analytic functions
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E10 $C^\infty$ functions, quasi-analytic functions

Overview

26E10 studies $c^\infty$ functions, quasi-analytic functions in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for $c^\infty$ functions, quasi-analytic functions
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E15 Calculus of functions on infinite-dimensional spaces

Overview

26E15 studies calculus of functions on infinite-dimensional spaces in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for calculus of functions on infinite-dimensional spaces
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E20 Calculus of functions taking values in infinite-dimensional spaces

Overview

26E20 studies calculus of functions taking values in infinite-dimensional spaces in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for calculus of functions taking values in infinite-dimensional spaces
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E25 Set-valued functions

Overview

26E25 studies set-valued functions in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for set-valued functions
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E30 Non-Archimedean analysis

Overview

26E30 studies non-archimedean analysis in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for non-archimedean analysis
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E35 Nonstandard analysis

Overview

26E35 studies nonstandard analysis in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for nonstandard analysis
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E40 Constructive real analysis

Overview

26E40 studies constructive real analysis in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for constructive real analysis
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E50 Fuzzy real analysis

Overview

26E50 studies fuzzy real analysis in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for fuzzy real analysis
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E60 Means

Overview

26E60 studies means in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for means
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks

26E70 Real analysis on time scales or measure chains

Overview

26E70 studies real analysis on time scales or measure chains in miscellaneous topics. It collects analysis topics that do not fit more specialized one-variable or multivariable families, often emphasizing cross-cutting techniques.

Related Wikipedia Page

Miscellaneous Topics (Wikipedia)

Useful Links

Key Ideas

  • Canonical formulations and representative examples for real analysis on time scales or measure chains
  • How structural, local, and computational viewpoints interact in the subject
  • Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to gather auxiliary topics, unusual constructions, and analysis methods spanning several subareas.

Applications

  • Auxiliary analytical techniques
  • Cross-cutting methods
  • Specialized or emerging topics

References

Recommended Textbooks