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विविक्त गणित




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विविक्त गणित (English : Discrete mathematics) म्हणजे पूर्णांक, आलेख आदींचा तार्किक विधाने (propositional logic वापरून) अभ्यास करणारी गणिताची एक शाखा होय. विविक्त गणितामध्ये संतत (continuous) नसलेल्या संख्या वगैरे गोष्टींचा अभ्यास होतो. त्यामुळे नेहमीचे शून्यलब्धीशास्त्र/कलनशास्त्र (Calculus) तसेच गणितीय विश्लेषण (Mathematical Analysis) यांसारख्या गोष्टी येथे विचारात घेतल्या जात नाहीत.


विवित गणितामध्ये खालील गोष्टी येतात :


  • अंकशास्त्र ((Number Theory)

  • अमूर्त बीजगणित (Abstract Algebra)

  • आलेख सिद्धान्त (Graph Theory)

  • उपयोगिता सिद्धान्त (Utility Theory)

  • क्रमचय-संचय (Combinatorics)

  • खेल सिद्धान्त (Game Theory)

  • गूढलेखन शास्त्र (Cryptography)

  • तर्कशास्त्र (Logic)

  • निर्णय सिद्धान्त (Decision Theory)

  • परिमित अंतर कलन (Calculus of Finite Differences)

  • विविक्त कलनशास्त्र (Discrete calculus)

  • विविक्त भूमिती किंवा अभिकलनात्मक भूमिती (Computational Geometry)

  • विविक्त विश्लेषण (Discrete Analysis)

  • विविक्तीकरण (Discretization)

  • संकेतन सिद्धान्त (Coding Theory)

  • संक्रिया विज्ञान (Operations research)

  • सतत गणिताचे विविक्त रूप (Discrete Analogues of Continuous Mathematics)

  • संभाव्यता शास्त्र (Probability)

  • समुच्चय सिद्धान्त (Set Theory)

  • संस्थिति (Topology)

  • सांख्यिकी (Statistics)

  • सामाजिक चुनाव सिद्धान्त (Social Choice Theory)

  • सूचना सिद्धान्त (Information Theory)

  • सैद्धांतिक संगणक विज्ञान (Theoretical Computer Science)























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