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).