v1.28d - 3 may 2009
- Corrected the mean of the Binomial distribution
v1.28c - 13 june 2005
- Generalized Laguerre polynomials: added the explicit expression for L_n^a(x), and the Sonine polynomials.
- Minor corrections (angular integrals, Stirling formula)
v1.28 (merge of versions 1.27b - 1.27e) - 2 October 2004
- Minor corrections: Lagrange equations, covariance/contravariance, Laplace transform, Bases of L^2([a,b[).
- Added the angular and anisotropic exponential-like integrals
- Minor modifications.
v1.27 (merge of versions 1.26b - 1.26f) - 20 October 2002
- Minor modifications and corrections (determinants, exponential-like integrals).
v1.26 - 7 January 2002
- Corrected some typesetting mistakes (gamma function, statistical distributions).
- Minor modifications.
v1.25 - 15 October 2001
- Added the spherical change of variables in n dimensions.
- Minor modifications.
v1.24 - 8 June 2001 (Minor revision)
- Corrected some typesetting mistakes.
- Other minor modifications.
v1.23 - 22 May 2001
- Added the derivative of an integral.
- Added the classical mechanics subsection (Lagrange equations with non conservative forces).
- Corrected some typesetting mistakes.
- Other minor modifications.
v1.22 - 7 November 2000
- Added the dominated convergence theorem.
- Added the hydrodynamics subsection (Navier-Stokes and Bernoulli equations).
- Removed trivial trigonometric identities.
- Removed redundant Fourier transforms.
- Removed the singularity spectrum (dynamical systems and fractals).
- Corrected some minor mistakes.
- Other minor modifications.
v1.21 - 26 October 2000
- Added the taylor sum of the gaussian integral.
- Added the Levi-Civita symbol.
- Added the hypersphere surface integral.
- Added the Liapunov exponents.
- Completed the Lorentz law of composition of the speed.
- Corrected a mistake in the hypersphere volume integral.
- Removed the quantum grand canonical partition function with quantum statistics.
- Removed the magic formula (quantum coulomb plasma).
- Removed the diagrammatic lemmas.
- Removed redundant particular cases of the fractal dimension.
- Other minor modifications.
v1.20 - 10 October 2000
- Added the Taylor sums' first order terms.
- Added the Fresnel integral.
- Added the exponential-like integrals.
- Added the hypersphere volume integral.
- Added the inequalities subsection.
- Added the infimum/supremum definition of the Legendre transform.
- Added the Chebyshev polynomials.
- Added the exact Airy functions.
- Completed the gamma function, removed all numerical values.
- Added the motion in curvilinear coordinates (cylindrical, spherical).
- Added the Kramers-Kronig equations.
- Added thermodynamic functions.
- Added the special relativity subsection (Lorentz transformation, covariance, contravariance, invariance, electrodynamics).
- Added the stationary perturbation theory.
- Added the dynamical systems and fractals section (multifractal dimension, singularity spectrum).
- Removed redundant path integral exact solutions.
- Corrected some mistakes in the radial hydrogen, spherical harmonics and Laguerre functions, Tchebychev inequality, classical electrodynamics, rotation matrices.
- Other minor modifications.
v1.11 - 9 August 2000
- Added Kramer's rule (comatrix - linear algebra)
- Added Trotter's formula (commutation and anticommutation relations)
- Corrected some typesetting mistakes.
- Other minor modifications.
v1.10 - 5 August 2000
- Added the products subsection.
- Added the linear algebra subsection (determinants, diagonalization).
- Added the second order linear ODE
- Added the Eulerian equation.
- Added the Bessel functions.
- Added the statistics subsection.
- Added the statistical distributions.
- Added the statistical inequalities (Markov, Jensen, Tchebychev).
- Added the statistical limit theorems.
- Added Wick's theorem.
- Added the classical statistics physics section.
- Added the k-points correlation function.
- Added Fermi's golden rule.
- Added the quantum statistical ensembles.
- Added the quantum linear reponse theory
(linear response function, fluctuation-dissipation theorem, Kubo's formula).
- Corrected some typesetting mistakes.
- Other minor modifications.
v1.01 - 25 July 2000
- Added new commutation and anticommutation relations.
- Corrected some typesetting mistakes.
v1.00 - 18 July 2000
- First error-free version (hopefully).