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PhD THESIS TOPICS AND MATERIALS IN MATHEMATICS

PhD THESIS TOPICS AND MATERIALS IN MATHEMATICS

 

 

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PhD THESIS TOPICS AND MATERIALS IN MATHEMATICS

 

  1. Inversive Geometry
  2. Additive Number Theory
  3. Fermat’s Last Theorem
  4. Mersenne Primes and Perfect Numbers
  5. Paris, “The Generation of Amicable Numbers”, Senior Thesis, 1985
  6. Group Decision-Making
  7. Logistic Models of Population Growth
  8. Topics in Mathematical Bioeconomics
  9. Brouwer’s Fixed Point Theorem
  10. Models of Tumor Growth
  11. Mathematical Models of Conventional Warfare
  12. The Fundamental Theorem of Algebra
  13. Algebraic Numbers
  14. Nonstandard Analysis
  15. Galois Theory
  16. Prime Number Theorem
  17. Waring’s Problem
  18. Twin Primes
  19. Continued Fractions
  20. Additive Bases
  21. Primality Testing and Factoring
  22. Introduction to Analytic Number Theory
  23. Finite Fields
  24. Infinite Products and the Gamma Function
  25. Computer Simulation and Recognition of Language
  26. Representation Theory
  27. Lie Groups
  28. Quadratic Forms and Class Numbers
  29. Generalizations of the Real Numbers
  30. The Arithmetic-Geometric Inequality and Other Famous Inequalities
  31. History of Mathematics
  32. Decision-Theoretic Analysis and Simulation
  33. Bayesian Statistics: Theory and Decision Making
  34. Random Effects Models in Analysis of Variance
  35. Modern Analysis of Variance
  36. Pseudo-Random Number Generation
  37. Tilings and Patterns
  38. Iterated Function Systems
  39. Branching Processes
  40. The Poisson Process and Order Statistics
  41. Majorization and Schur Convexity
  42. Cover Times
  43. Reliability Theory
  44. Measure and Integration
  45. Chvátal’s Conjecture
  46. Snark Hunting
  47. Two-Dimensional Orbifolds
  48. Matrix Groups
  49. The Erlangen Program