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.

62Pxx Applications to specific fields

This subtopic introduces the core ideas in applications to specific fields, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.

Specific topics

62P05 Applications of statistics to actuarial sciences and financial mathematics

Overview

Applications of statistics to actuarial sciences and financial mathematics. This topic addresses statistical applications to specific scientific and engineering fields with domain-driven constraints.

Related Wikipedia Page

Wikipedia: Applied statistics

Useful Links

Key Ideas

  • domain-specific statistical modeling
  • measurement and design constraints
  • translation of methods to practice

Typical Uses

Used to adapt statistical theory to field-specific data, objectives, and regulatory contexts.

Applications

  • Medicine and public health
  • Engineering and industrial systems
  • Social and environmental sciences

References

Recommended Textbooks

62P10 Applications of statistics to biology and medical sciences; meta analysis

Overview

Applications of statistics to biology and medical sciences; meta analysis. This topic addresses statistical applications to specific scientific and engineering fields with domain-driven constraints.

Related Wikipedia Page

Wikipedia: Applied statistics

Useful Links

Key Ideas

  • domain-specific statistical modeling
  • measurement and design constraints
  • translation of methods to practice

Typical Uses

Used to adapt statistical theory to field-specific data, objectives, and regulatory contexts.

Applications

  • Medicine and public health
  • Engineering and industrial systems
  • Social and environmental sciences

References

Recommended Textbooks

62P12 Applications of statistics to environmental and related topics

Overview

Applications of statistics to environmental and related topics. This topic addresses statistical applications to specific scientific and engineering fields with domain-driven constraints.

Related Wikipedia Page

Wikipedia: Applied statistics

Useful Links

Key Ideas

  • domain-specific statistical modeling
  • measurement and design constraints
  • translation of methods to practice

Typical Uses

Used to adapt statistical theory to field-specific data, objectives, and regulatory contexts.

Applications

  • Medicine and public health
  • Engineering and industrial systems
  • Social and environmental sciences

References

Recommended Textbooks

62P15 Applications of statistics to psychology

Overview

Applications of statistics to psychology. This topic addresses statistical applications to specific scientific and engineering fields with domain-driven constraints.

Related Wikipedia Page

Wikipedia: Applied statistics

Useful Links

Key Ideas

  • domain-specific statistical modeling
  • measurement and design constraints
  • translation of methods to practice

Typical Uses

Used to adapt statistical theory to field-specific data, objectives, and regulatory contexts.

Applications

  • Medicine and public health
  • Engineering and industrial systems
  • Social and environmental sciences

References

Recommended Textbooks

62P20 Applications of statistics to economics

Overview

Applications of statistics to economics. This topic addresses statistical applications to specific scientific and engineering fields with domain-driven constraints.

Related Wikipedia Page

Wikipedia: Applied statistics

Useful Links

Key Ideas

  • domain-specific statistical modeling
  • measurement and design constraints
  • translation of methods to practice

Typical Uses

Used to adapt statistical theory to field-specific data, objectives, and regulatory contexts.

Applications

  • Medicine and public health
  • Engineering and industrial systems
  • Social and environmental sciences

References

Recommended Textbooks

62P25 Applications of statistics to social sciences

Overview

Applications of statistics to social sciences. This topic addresses statistical applications to specific scientific and engineering fields with domain-driven constraints.

Related Wikipedia Page

Wikipedia: Applied statistics

Useful Links

Key Ideas

  • domain-specific statistical modeling
  • measurement and design constraints
  • translation of methods to practice

Typical Uses

Used to adapt statistical theory to field-specific data, objectives, and regulatory contexts.

Applications

  • Medicine and public health
  • Engineering and industrial systems
  • Social and environmental sciences

References

Recommended Textbooks

62P30 Applications of statistics to engineering and industrial statistics

Overview

Applications of statistics to engineering and industrial statistics. This topic addresses statistical applications to specific scientific and engineering fields with domain-driven constraints.

Related Wikipedia Page

Wikipedia: Applied statistics

Useful Links

Key Ideas

  • domain-specific statistical modeling
  • measurement and design constraints
  • translation of methods to practice

Typical Uses

Used to adapt statistical theory to field-specific data, objectives, and regulatory contexts.

Applications

  • Medicine and public health
  • Engineering and industrial systems
  • Social and environmental sciences

References

Recommended Textbooks

62P35 Applications of statistics to physics

Overview

Applications of statistics to physics. This topic addresses statistical applications to specific scientific and engineering fields with domain-driven constraints.

Related Wikipedia Page

Wikipedia: Applied statistics

Useful Links

Key Ideas

  • domain-specific statistical modeling
  • measurement and design constraints
  • translation of methods to practice

Typical Uses

Used to adapt statistical theory to field-specific data, objectives, and regulatory contexts.

Applications

  • Medicine and public health
  • Engineering and industrial systems
  • Social and environmental sciences

References

Recommended Textbooks

62P99 Miscellaneous applications of statistics

Overview

Miscellaneous applications of statistics. This topic addresses statistical applications to specific scientific and engineering fields with domain-driven constraints.

Related Wikipedia Page

Wikipedia: Applied statistics

Useful Links

Key Ideas

  • domain-specific statistical modeling
  • measurement and design constraints
  • translation of methods to practice

Typical Uses

Used to adapt statistical theory to field-specific data, objectives, and regulatory contexts.

Applications

  • Medicine and public health
  • Engineering and industrial systems
  • Social and environmental sciences

References

Recommended Textbooks