Special Functions and Their Symmetries: Postgraduate Course in Applied Analysis
by Vadim Kuznetsov, Vladimir Kisil
Publisher: University of Leeds 2003
This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics. It consists of the two parts: the first part gives the classic analytical approach and the second links the theory with groups of symmetries.
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by Guenther Hoermann, Roland Steinbauer - Universitaet Wien
From the table of contents: 1. Test Functions and Distributions; 2. Differentiation, Differential Operators; 3. Basic Constructions; 4. Convolution; 5. Fourier Transform and Temperate Distributions; 6. Regularity; 7. Fundamental Solutions.
by J. Ponstein
This book is concerned with an attempt to introduce the infinitesimals and the other 'nonstandard' numbers in a naive, simpleminded way. Nevertheless, the resulting theory is hoped to be mathematically sound, and to be complete within obvious limits.
by Ravi P. Agarwal, at al. - Hindawi Publishing Corporation
This book is devoted to a rapidly developing branch of the qualitative theory of difference equations with or without delays. It presents the theory of oscillation of difference equations, exhibiting classical as well as recent results in that area.
by Martin J. Osborne - University of Toronto
This tutorial covers the basic mathematical tools used in economic theory. The main topics are multivariate calculus, concavity and convexity, optimization theory, differential and difference equations. Knowledge of elementary calculus is assumed.