{"id":130,"date":"2016-11-02T15:04:04","date_gmt":"2016-11-02T13:04:04","guid":{"rendered":"http:\/\/cadredidactice.ub.ro\/vasilepostolica\/?page_id=130"},"modified":"2018-10-31T14:07:04","modified_gmt":"2018-10-31T12:07:04","slug":"teme-de-disertatie-md1-2017","status":"publish","type":"page","link":"https:\/\/cadredidactice.ub.ro\/vasilepostolica\/teme-de-disertatie-md1-2017\/","title":{"rendered":"Teme propuse pentru diserta\u021bie MD1 2019"},"content":{"rendered":"
    \n
  1. Spa\u0163ii topologice. \u015eiruri generalizate. Caracteriz\u0103ri aferente.<\/li>\n
  2. Spa\u0163ii metrice. Propriet\u0103\u0163i caracteristice.<\/li>\n
  3. Spa\u0163ii liniare normate. Spa\u0163ii Hilbert.<\/li>\n
  4. Structurile uzuale de spa\u0163ii metrice pentru R, , Rn<\/sup>.<\/li>\n
  5. Fundamente ale Analizei matematice \u00een lec\u0163iile curente.<\/li>\n
  6. Func\u0163iile cu varia\u0163ie m\u0103rginit\u0103 implicate \u00een rectificabilitatea Jordan.<\/li>\n
  7. Serii Fourier \u015fi aplica\u0163ii \u00een studiul semnalelor.<\/li>\n
  8. Lec\u0163ii de Analiz\u0103 matematic\u0103 realizate folosind computerele.<\/li>\n
  9. Integrale de tip Riemann \u2013 Stieltjes \u015fi importan\u0163a lor.<\/li>\n
  10. Convergen\u0163\u0103\/Divergen\u0163\u0103 \u00een spa\u0163ii Euclidiene.<\/li>\n
  11. Limit\u0103, continuitate \u015fi diferen\u0163iabilitate pentru func\u0163ii vectoriale.<\/li>\n
  12. Integrale Riemann \u015fi generaliz\u0103ri imediate.<\/li>\n
  13. Inegalit\u0103\u0163i clasice solu\u0163ionate prin Analiz\u0103 matematic\u0103 \u015fi probleme de extrem.<\/li>\n
  14. Analiza matematic\u0103 \u00een cercurile de matematic\u0103 ale elevilor.<\/li>\n
  15. Erori, gre\u015feli \u015fi solu\u0163ii diferen\u0163iate pentru lec\u0163iile de Analiz\u0103 matematic\u0103.<\/li>\n
  16. Performan\u0163e prin Analiza matematic\u0103.<\/li>\n<\/ol>\n

    Bibliografie selectiv\u0103<\/h2>\n
      \n
    1. \u00a0Barry Simon \u2013 A Comprehensive Course in Analysis (www.facebook.com\/simon.analysis<\/a>; www.ams.org\/simon-set<\/a>)<\/li>\n
    2. Dic\u0163ionar de Analiz\u0103 matematic\u0103 (coord. Acad. Romulus Cristescu) \u2013 Editura \u015etiin\u0163ific\u0103 \u015fi Enciclopedic\u0103, Bucure\u015fti, 1989.<\/li>\n
    3. Postolic\u0103, V.- Eficien\u0163\u01ce prin Matematic\u01ce Aplicat\u01ce**: Analiz\u0103 Matematic\u0103. Aplica\u0163ii multiple. Eficien\u0163a \u015fi Optimizare. Editura Matrix Rom, Bucure\u015fti, 2007.<\/li>\n
    4. Postolic\u0103, V. – Baze ale matematicii actualizate prin Eficien\u0163\u0103. Editura Matrix Rom, Bucure\u015fti, 2008.<\/li>\n
    5. Postolic\u0103, V.- Optimizare \u015fi aplica\u0163ii: spa\u0163ii abstracte, eficien\u0163\u0103, proiec\u0163ii immediate \u015fi de perspectiv\u0103. Editura Matrix Rom, Bucure\u015fti, 2009.<\/li>\n
    6. Postolic\u0103, V. \u2013 Incursiuni necesare Matematicii Didactice. Editura Matrix Rom, Bucure\u015fti, 2013.<\/li>\n
    7. Precupanu Anca \u2013 Bazele Analizei Matematice. Editura Canova, Ia\u015fi, 1993.<\/li>\n
    8. St\u0103n\u0103\u015fil\u0103 Octavian \u2013 Analiz\u0103 Matematic\u0103. Editura Didactic\u0103 \u015fi Pedagogic\u0103, Bucure\u015fti, 1979.<\/li>\n
    9. St\u0103n\u0103\u015fil\u0103 Octavian \u2013 Analiza Matematic\u0103 a Semnalelor \u015fi Ondinelor. Editura Matrix Rom, Bucure\u015fti, 1997.<\/li>\n<\/ol>\n

      01 Octombrie 2018,
      \nProf. Univ. Dr. Vasile Postolic\u0103.<\/p>\n","protected":false},"excerpt":{"rendered":"

      Spa\u0163ii topologice. \u015eiruri generalizate. Caracteriz\u0103ri aferente. Spa\u0163ii metrice. Propriet\u0103\u0163i caracteristice. Spa\u0163ii liniare normate. Spa\u0163ii Hilbert. Structurile uzuale de spa\u0163ii metrice pentru R, , Rn. Fundamente ale Analizei matematice \u00een lec\u0163iile curente. Func\u0163iile cu varia\u0163ie m\u0103rginit\u0103 implicate \u00een rectificabilitatea Jordan. Serii …<\/p>\n

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