**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

**Applied Analysis**

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.

(

**3000**views)

**An Introduction to Asymptotic Analysis**

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.

(

**2451**views)

**Orbital Integrals on Reductive Lie Groups and Their Algebras**

by

**Francisco Bulnes**-

**InTech**

The purpose is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.

(

**5503**views)

**Real Numbers and Fascinating Fractions**

by

**N. M. Beskin**

This text introduces the interesting and valuable concept of continued fractions. Contents: Two Historical Puzzles; Formation of Continued Fractions; Convergents; Non-terminating Continued Fractions; Approximation of Real Numbers.

(

**10488**views)