**Special Functions and Their Symmetries: Postgraduate Course in Applied Analysis**

by Vadim Kuznetsov, Vladimir Kisil

**Publisher**: University of Leeds 2003

**Description**:

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.

Download or read it online for free here:

**Download link**

(multiple formats)

## Similar books

**Mathematical Methods for Economic Theory: a tutorial**

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.

(

**11758**views)

**Discrete Oscillation Theory**

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.

(

**8443**views)

**Short introduction to Nonstandard Analysis**

by

**E. E. Rosinger**-

**arXiv**

These notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued.

(

**7727**views)

**Lectures on Topics in Analysis**

by

**Raghavan Narasimhan**-

**Tata Institute of Fundamental Research**

Topics covered: Differentiable functions in Rn; Manifolds; Vector bundles; Linear differential operators; Cauchy Kovalevski Theorem; Fourier transforms, Plancherel's theorem; Sobolev spaces Hm,p; Elliptic differential operators; etc.

(

**6865**views)