Special Functions, a Review
by S. Arfaoui, I. Rezgui, A.B. Mabrouk
Publisher: viXra 2016
Number of pages: 69
The present document is concerned with the review of the most frequently special functions applied in scientific fields such as Bessel functions, Mathieu functions, the Gamma function, the Beta function, Jacobi functions... We review their principal properties and their interactions with different branches especially in mathematics.
Home page url
Download or read it online for free here:
by Ian Craw - University of Aberdeen
Introductory calculus course, with some leanings to analysis. It covers sequences, monotone convergence, limits, continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.
by E. T. Whittaker, G. N. Watson - Cambridge University Press
This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It is the standard book of reference in English on the applications of analysis to the transcendental functions.
by Victor Guillemin, Shlomo Sternberg - Harvard University
In semi-classical analysis many of the basic results involve asymptotic expansions in which the terms can by computed by symbolic techniques and the focus of these lecture notes will be the 'symbol calculus' that this creates.
by Sean Mauch - Caltech
Advanced mathematical methods for scientists and engineers, it contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations.