LMS Undergraduate Project Archive
Latest Revision 26 October 1995
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001 The Circle Limit Drawings of M.C. Escher
002 Wallpaper Patterns
003 Perspective and Projective Geometry
004 Torus knots
005 Saturn's Co-Orbital Moons
006 Non-Newtonian Fluids.
007 Musical Tones
008 Population models
009 Determination of Parabolic Orbits
010 Newton's Early Work
011 The Greek Theory of Ratio
012 Charges on a Sphere
013 Prime numbers in Arithmetic Progressions
014 The distribution of Quadratic Residues
015 Late Sunrise
016 Diophantos and Fermat
017 Unsolvability of Group theoretic problems
018 The theorems of Burnside and Polya
019 Pascal plus
020 Iterating to a solution
021 Iterated Function Systems
022 Continued fractions
023 The Bernoulli Polynomials and the Euler-Maclaurin Formula
024 Turing Machines
025 Axiomatic Geometry
026 Bell Ringing
027 Ptolemy's Inequality
028 Square functions and curves
029 Constructibility of the Regular Polygons
030 Chord envelopes
031 Factorization of Polynomials
032 Floor polynomials
033 The Lorentz Group
034 Evaluation of Pi
035 Cubes and hypercubes
036 Integration in REDUCE - the Risch Algorithm
037 Mathematical Models of Warfare
038 A Knot Polynomial
039 p-adic Numbers
040 The life and work of James Gregory
041 Euler and his contribution to Number Theory
042 Quaternions and Division Rings
043 Mathematics and Fair Elections
044 A history of Drag
045 Solution of NLS equation
046 Symmetry and chaos in fluid dynamics
047 Mushroom mathematics
048 Signal processing of electrical signals
049 Elliptic functions and their computation
050 Elastica
051 Water waves
052 Topological Groups and Haar Measure
053 Abelian Groups
054 Analysis on Manifolds
055 Algebraic Number Theory
056 Game Theory
057 Semi-Group Theory
058 Model Theory
059 Topics in Fourier Analysis
060 Group representation theory and Burnside's problem
061 NP-completeness
062 Homological Algebra
063 A Study of Knots in ${\mathbb R}^{3}$
064 Finite Dimensional Lie Algebras
065 Horn Clause Logic and Computability
066 Algebraic Number Theory, Fermat's Conjecture
067 Coding Theory
068 Algebraic Geometry
069 Algebraic Approach to Markovs Chains
070 Model Logic
071 The Axiom of Choice
072 Convexity
073 Group Representation
074 General Topology
075 Applications of Systems of Differential Equations to Problems in Biochemical Sciences
076 Space Time as a basis for Special Relativity
077 Homotopy Principle and its Applications to fixed points, differential equations and Catastrophe Theory
078 Regular expression and regular Automata.
079 An Introduction to Logic
080 Crystallography Groups
081 Fourier Analysis
082 Differential Equations
083 Ideal Theory --- Introduction
084 Homology Theory
085 General Topology
086 Measure Theory
087 Model Theory
088 Group rings
089 Riemann Surfaces
090 Galois Theory
091 Functional Analysis
092 Stokes Theorem
093 Catastrophe Theory
094 Convexity
095 Homological Algebra
096 Integral Equations
097 Proof Theory
098 Function Spaces
099 Algebraic Number Theory
100 Lattices and Logic
101 Differential Topology
102 The History of Calculus
103 Model Theory
104 Group Theory
105 Godel's inconsistency theorems
106 Algebraic Projective Geometry
107 Game Theory
108 Introduction to Model Theory
109 Differential Equations, Topology and Stability
110 Topological Groups
111 Homotopy and Homogeneous Spaces
112 Representation of finite groups
113 Differential Geometry
114 Homological Algebra
115 An Algebraic proof of the Completeness theorem of Mathematical Logic
116 Lattice Theory
117 Stability Theory for Ordinary Differential Equations
118 Hilbert Spaces and Integral Equations
119 Boolean Algebras
120 Algebraic Geometry
121 Filters and Ultra Filters
122 Calculus of Variations
123 Analytical Topology
124 Lie Algebras
125 Differential Geometry
126 Graph Theory
127 Hilbert Spaces
128 Category Theory
129 Symmetry
130 Group Presentation
131 Complex Analysis
132 Logic and Proof Theory
133 Algebraic Geometry
134 Adaptive Resonance Theory
135 Number Theory
136 Riemann Surfaces
137 General Topology
138 Error-Correcting Codes
139 The Cubist
140 Fibonacci Decoding Problem
141 Non-Additive Sets
142 Christmas Lights
143 Decoding Problem
144 Coding Problem
145 Somos Sequences
146 Tiling Problems
147 Phase-plane analysis
148 Equilibrium of charged particles
149 A model for alpha-decay
150 Does quantum mechanics require action at a distance?
151 The wooden neutrino
152 Wedderburn's Structure Theorems for F-algebras
153 Generalised Functions
154 Configurations in Steiner Triple Systems
155 Greek Construction Problems
156 Archimedes and the Greek Precursors of Calculus
157 Fitting Surfaces to Data: bicubic splines
158 Aspects of Random Neural Nets
159 Investigation of Unsupervised Learning
160 Population modelling with differential equations
161 Solving partial differential equations with integral transforms
162 Unconstrained Optimisation using Direct Search Methods
163 Balancing a Pole
164 How things Float
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