Second Year Essays

Sample Second Year Essays

85%

Using Bijections and Lattice Paths to Enumerate Tilings of the Aztec Diamond

84%

Finite Reflection Groups

84%

Divergent Series: Cesaro, Abel Sums and their Generalizations

83%

Arithmetical Functions and Dirichlet Series

81%

Squaring The Circle: Ancient Problem and Modern Solutions

81%

Knots and their Invariants

80%

Mobius Transformations

78%

Octonions

78%

An Introduction to Newtonian Celestial
Mechanics, and a comparison of Hohmann and
Bi-elliptic transfers

77%

The Ising Model – From inspiration to exact solutions

76%

The Electrical Theory of Random Walks

76%

Chromatic Polynomials

75%

The Distribution of Prime Numbers and the Gaps Between Primes

74%

Curvature of Surfaces in R^3

73%

Convex Analysis and the Karush-Kuhn-Tucker Theorem

72%

The Reed-Frost Model and its Applications to Real Life

70%

Mathematics: The Last Truth of Democracy

68%

Cryptography: An Introduction to Internet Security