ONE HUNDRED AND ONE
CAVENDISH
FAIRY TALES
ON
MATHEMATICAL PHYSICS
Reflection over the Barrier
Hidden Symmetry of the Kepler Problem
Rates of Activation Processes
Tale 11
Collapse of a Bubble in Water
Tale 12
Calculation of the Sums, Landau Diamagnetism
and de Haas-van Alphen Effect
Tale 13
Energy Levels of Soccer-ball Molecule
Tale 14
Painting of Polyhedrae or the Shubnikov Problem
Climbing the Mountans and Geodesic Lines
Tale 16
Variable Dimensionality
Tale 17
Rainbows and Catastrophes
Tale 18
Sunflowers, Pineapples and Modular Forms
Tale 19
Molecular Rotations and the the Berry Phase
Tale 20
Infinities and Regularizations
Tale 21
On Shape of the Galaxies
Tale 22
Laplacian Growth
Tale 23
Tricomi Equation and Crossing of Discontinuities
Tale 24
Hall Conductance Quantisation
Tale 25
Special Functions and Group Representations.
1. SO(n) and Gegenbauer Polynomials.
Tale 26
Can one hear the string shape.
Inverse scattering problem.
Tale 27
Three Particles Collisions
Tale 28
Singular Integral Equations
Tale 29
On Higher Orders in Perturbation Theory
Tale 30
On Boundary Layer and Electrostatics
of Quantum Hall Effect
Tale 31
Stability of the Fronts
Tale 32
On Hotzmark Distribution
Tale 33
Kaleidescope
Tale 34
Skyrmions
Tale 35
Special Functions and Group Representations.
2. SL2 (R) and Hypergeometric
Functions.
Tale 36
Projective Representations and Group's Cohomologies
Tale 37
Universe as a Dynamical System
Tale 38
Young Tableaux and Rotations of Molecules
Tale 39
Tale 40
Lie Algebras and Dynamic Symmetry
of Elementary Particles
Tale 41
on Tiling
Tale 42
Frenet Formulas and Hyper-spiral
Structure of DNA
Tale 43
Waves on Water: Coastal Waves,
Bores and Waterfalls
Tale 44
Spin and Oscillator
Green Functions and Resistor's Networks
Tale 47
\pi^2 in the exponent
Tale 49
Sticky Ball, Potential Theory and Catastrophes
Tale 50
Logic as Algebra
Tale 51
Random Walk and Weyl Formula
Tale 52
Tale 53
Froud's Pendulum
Tale 54
A pendulum and elliptic functions
Tale 55
2D Fluid Dynamics
Tale 56
Frobenius Numbers and Quantum Mechanics
Tale 57
Penrose Tiling and Quasicrystals
Tale 58
Classification of Lie Algebras
Tale 59
Exceptional Lie Algebras
Tale 60
Tale 61
Quasi-exactly solvable Schroedinger
Equations
Tale 62
Turbulence
Tale 63
On Duality
On envelopes
Tale 65
Two Eulers
Tale 66
Optics and Hyperbolic Geometry
Tale 67
Tale 68
Tale 69
Tale 70
On Planetary Rings
Tale 71
Tale 72
Tale 73
Tale 74
Tale 75
Top and Monopole
Tale 76
Tale 77
Kapitza's Pendulum
Tale 78
Tale 79
Minimal Surfaces
Tale 80
Remarcable Curves
Tale 81
Mortality, Shot Noice and Random Processes
Tale 82
Coastal Waves
Tale 83
Symmetric Group, Young Tableaux and States of Molecules
Tale 84
Superconductor near its Self-Duality Point
Tale 85
Tale 86
Cardano Formula
Tale 87
Kohn's Anomaly and Catastrophes
Tale 88
The Clock
Tale 89
Descriptive Geometry
Tale 90
Tale 91
Tale 92
Electrostatics and Conformal Mapping
Tale 93
Tale 94
Tale 95
Tale 96
Tale 97
Tale 98
Tale 99
Tale 100
Tale 101
Appendix 1
Supermathematics
Bibliography