Saturday, June 28, 2008

MATHEMATICS THESIS TOPICS

MATHEMATICS

Algebra:
1. Algebraic Curves
2. Field Theory
3. Quadratic Forms
4. Algebraic Equations
5. General Algebra
6. Quaternions and Cliffo...
7.Algebraic Geometry
8. Group Theory
9. Ring Theory
10. Algebraic Identities
11. Homological Algebra
12. Scalar Algebra
13. Algebraic Invariants
14. Linear Algebra
15. Sums
16. Algebraic Operations
17. Named Algebras
18. Valuation Theory
19. Algebraic Properties
20. Noncommutative Algebra
21. Vector Algebra
22. Coding Theory
23. Number Theory
24. Wavelets
25. Cyclotomy
26. Polynomials ,
27. Elliptic Curves
28. Products


Applied Mathematics:
1. Business
2. Complex Systems
3. Control Theory
4. Data Visualization
5. Dynamical Systems@
6. Engineering
7. Ergodic Theory
8. Game Theory
9. Information Theory
10. Inverse Problems
11. Numerical Methods
12. Optimization
13. Population Dynamics
14. Signal Processing

Calculus and Analysis:
1. Calculus Functional Analysis Norms
2. Calculus of Variations Functions Operator Theory
3. Catastrophe Theory General Analysis Polynomials@
4. Complex Analysis Generalized Functions Roots
5. Differential Equations Harmonic Analysis Series
6. Differential Forms Inequalities Singularities
7. Differential Geometry Integral Transforms Special Functions
8. Dynamical Systems Manifolds@
9. Fixed Points Measure Theory

Discrete Mathematics
1. Cellular Automata
2. Coding Theory
3. Combinatorics
4. Computational Systems
5. Computer Science
6. Division Problems
7. Experimental Mathematics
8. Finite Groups
9. General Discrete Mathematics
10. Graph Theory
11. Information Theory
12. Packing Problems
13. Point Lattices
14. Recurrence Equations
15. Umbral Calculus

Foundations of Mathematics:
1. Axioms
2. Category Theory
3. Logic
4. Mathematical Problems
5. Point-Set Topology
6. Set Theory
7. Theorem Proving

Geometry:
1. Algebraic Geometry
2. Ergodic Theory
3. Plane Geometry
4. Combinatorial Geometry
5. General Geometry
6. Points
7. Computational Geometry
8. Geometric Construction
9. Projective Geometry
10. Continuity Principl
11. Geometric Duality
12. Rigidity
13. Coordinate Geometry
14. Geometric Inequalities
15. Sangaku Problems
16. Curves
17. Inversive Geometry
18. Solid Geometry
19. Differential Geometry
20. Line Geometry
21. Surfaces
22. Dissection
23. Multidimensional Geometry
24. Symmetry
25. Distance
26. Noncommutative Geometry
27. Transformations
28. Division Problems
29. Non-Euclidean Geometry
30. Trigonometry

History and Terminology
1. Biography
2. Contests
3. Disciplinary Terminology
4. History
5. Mathematica Code
6. Mathematica Commands
7. Mathematical Problems
8. Mnemonics
9. Notation
10. Prizes
11. Terminology

Number Theory
1. Algebraic Curves
2. Elliptic Curves
3. Prime Numbers
4. Algebraic Number Theory
5. Ergodic Theory
6. p-adic Numbers
7. Arithmetic
8. General Number Theory
9. Rational Approximation
10. Automorphic Forms
11. Generating Functions
12. Rational Numbers
13. Binary Sequences
14. Integer Relations
15. Real Numbers
16. Class Numbers
17. Integers
18. Reciprocity Theorems
19. Congruences
20. Irrational Numbers
21.
Rounding
22.
Constants
23.
Normal Numbers
24.
Sequences
25.
Continued Fractions
26.
Numbers
27.
Special Numbers
28.
Diophantine Equations
29.
Number Theoretic Funct...
30.
Transcendental Numbers
31. Divisors
32. Parity

Probability and Statistics
1. Bayesian Analysis
2. Nonparametric Statistics
3. Statistical Asymptotic...
4. Descriptive Statistics
5. Probability
6. Statistical Distributions
7. Error Analysis
8. Random Numbers
9.
Statistical Indices
10.
Estimators
11.
Random Walks
12.
Statistical Plots
13.
Markov Processes
14.
Rank Statistics
15.
Statistical Tests
16.
Moments
17.
Regression
18.
Time-Series Analysis
19.
Multivariate Statistics
20.
Runs
21.
Trials

Recreational Mathematics
1.
Cryptograms
2.
Dissection
3.
Folding
4.
Games
5.
Illusions
6.
Magic Figure
7.
Mathematical Art
8.
Mathematical Humor
9.
Mathematical Records
10
Mathematics in the Arts
11.
Number Guessing
12.
Numerology
13.
Puzzles
14.
Sports

Topology:
1.
Algebraic Topology
2.
Bundles
3.
Cohomology
4.
General Topology
5.
Knot Theory
6.
Low-Dimensional Topology
7.
Manifolds
8.
Point-Set Topology
9.
Spaces
10.
Topological Invariants
11.
Topological Operations
12.
Topological Structures

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