By Carlo Viola
The topics handled during this e-book were particularly selected to symbolize a bridge connecting the content material of a primary direction at the uncomplicated conception of analytic features with a rigorous therapy of a few of crucial exact features: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such designated features are quintessential instruments in "higher calculus" and are often encountered in just about all branches of natural and utilized arithmetic. the single wisdom assumed at the a part of the reader is an knowing of easy techniques to the extent of an trouble-free path overlaying the residue theorem, Cauchy's necessary formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The booklet addresses the wishes of complicated undergraduate and graduate scholars in arithmetic or physics.
Read Online or Download An Introduction to Special Functions (UNITEXT) PDF
Best functional analysis books
This booklet is the 1st systematic remedy of measures on projection lattices of von Neumann algebras. It provides major fresh leads to this box. One half is electrified by way of the Generalized Gleason Theorem on extending measures at the projection lattices of von Neumann algebras to linear functionals.
This ebook bargains a scientific presentation of up to date fabric scattered through the literature from the method viewpoint. It studies the elemental theories and strategies, with many fascinating difficulties in partial and traditional differential equations, differential geometry and mathematical physics as functions, and gives the mandatory training for the majority vital features in modern reviews.
The speculation of operator areas is particularly contemporary and will be defined as a non-commutative Banach house thought. An 'operator area' is just a Banach house with an embedding into the gap B(H) of all bounded operators on a Hilbert area H. the 1st a part of this ebook is an creation with emphasis on examples that illustrate quite a few elements of the idea.
Sie suchen Übungen zur Klausurvorbereitung, fabric für Tutorien oder Beispiele für eine Vorlesung zur weiterführenden research? In diesem umfangreichen Buch finden Sie eine Vielzahl verschiedener Aufgaben - von abstrakten Beweisen über theoretische und angewandte Beispiele hin zu konkreten Berechnungen.
- Ordered Structures and Applications: Positivity VII (Zaanen Centennial Conference), 22-26 July 2013, Leiden, the Netherlands (Trends in Mathematics)
- Classical Summability Theory
- A Primer on Hilbert Space Theory: Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups (UNITEXT for Physics)
- Essentials of Mathematical Methods in Science and Engineering
Additional info for An Introduction to Special Functions (UNITEXT)
An Introduction to Special Functions (UNITEXT) by Carlo Viola