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    • Learn
      • Mind Map of AI
      • AI/ML Opus - 5 Books
      • ML by Sanjeev Katariya
      • Presentation - AI@Scale
      • Math for ML
      • Data, Systems, AI
      • Microservices
      • History of India
    • Mathematical Ontology
      • Mathematics
      • Theoretical Mathematics
      • Pure Mathematics
      • Applied Mathematics
    • Scientific Ontology
      • Science
      • Formal Science
      • Data Science
      • Empirical Science
    • Humanities Ontology
      • Humanities
      • History
      • Literature
      • Philosophy
      • Religion
      • Classics
      • Law
      • Government and Politics
      • Arts
      • Business
    • My Educational Ontology
      • My Ontology
      • My Interests
      • My Links
      • My Books
      • By Mathematics
      • By Science
      • By Humanities
      • By Cross Discipline
      • By Images
      • By Videos
    • Travel the World
      • Travel the Planet
      • Travel North America
      • Travel Asia
      • Travel Europe
      • Travel South America
      • Travel Africa
      • Travel Oceania
      • Travel Antartica
    • Enjoy
      • Sanjeev's Fun Music
      • Sufi Music
  • Home
  • Learn
    • Mind Map of AI
    • AI/ML Opus - 5 Books
    • ML by Sanjeev Katariya
    • Presentation - AI@Scale
    • Math for ML
    • Data, Systems, AI
    • Microservices
    • History of India
  • Mathematical Ontology
    • Mathematics
    • Theoretical Mathematics
    • Pure Mathematics
    • Applied Mathematics
  • Scientific Ontology
    • Science
    • Formal Science
    • Data Science
    • Empirical Science
  • Humanities Ontology
    • Humanities
    • History
    • Literature
    • Philosophy
    • Religion
    • Classics
    • Law
    • Government and Politics
    • Arts
    • Business
  • My Educational Ontology
    • My Ontology
    • My Interests
    • My Links
    • My Books
    • By Mathematics
    • By Science
    • By Humanities
    • By Cross Discipline
    • By Images
    • By Videos
  • Travel the World
    • Travel the Planet
    • Travel North America
    • Travel Asia
    • Travel Europe
    • Travel South America
    • Travel Africa
    • Travel Oceania
    • Travel Antartica
  • Enjoy
    • Sanjeev's Fun Music
    • Sufi Music

Sanjeev Katariya

Sanjeev KatariyaSanjeev KatariyaSanjeev Katariya

Mathematics

Mathematics can, broadly speaking, be subdivided into the study of quantity, structure, space, and change (i.e. arithmetic, algebra, geometry, and analysis). In addition to these main concerns, there are also subdivisions dedicated to exploring links from the heart of mathematics to other fields: to logic, to set theory (foundations), to the empirical mathematics of the various sciences (applied mathematics), and more recently to the rigorous study of uncertainty. While some areas might seem unrelated, the Langlands program has found connections between areas previously thought unconnected, such as Galois groups, Riemann surfaces and number theory.


The ontological breakdown is as follows:

  • Theoretical Mathematics
  • Pure Mathematics
  • Applied Mathematics

Wikipedia Classification

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