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 Simon J.A. Malham - Heriot-Watt University
From the table of contents: Order notation; Perturbation methods; Asymptotic series; Laplace integrals (Laplace's method, Watson's lemma); Method of stationary phase; Method of steepest descents; Bibliography; Notes; Exam formula sheet; etc.
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 I.M. Sigal, M. Merkli - University of Toronto
In this course, we deal with modern analysis. Properties of functions are studied as much as they are needed for understanding maps. More specifically, our emphasis is on applications of modern analysis and the material is selected accordingly.
by John Avery - Learning Development Institute
The book places emphasis on Mathematics as a human activity and on the people who made it. From the table of contents: Historical background; Differential calculus; Integral calculus; Differential equations; Solutions to the problems.