**Bernoulli Polynomials and Applications**

by Omran Kouba

**Publisher**: arXiv 2013**Number of pages**: 48

**Description**:

In this lecture notes we try to familiarize the audience with the theory of Bernoulli polynomials; we study their properties, and we give, with proofs and references, some of the most relevant results related to them. Several applications to these polynomials are presented, including a unified approach to the asymptotic expansion of the error term in many numerical quadrature formulae, and many new and sharp inequalities, that bound some trigonometric sums.

Download or read it online for free here:

**Download link**

(490KB, PDF)

## Similar books

**Introduction to Methods of Applied Mathematics**

by

**Sean Mauch**-

**Caltech**

Advanced mathematical methods for scientists and engineers, it contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations.

(

**18936**views)

**Advanced Calculus and Analysis**

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.

(

**29091**views)

**Elementary Mathematical Analysis**

by

**J.W. Young, F.M. Morgan**-

**The Macmillan Company**

The book presents a course suitable for students in the first year of our colleges, universities, and technical schools. It presupposes on the part of the student only the usual minimum entrance requirements in elementary algebra and plane geometry.

(

**11293**views)

**Set Theory and Topology: An Introduction to the Foundations of Analysis**

by

**Felix Nagel**-

**arXiv**

We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. The exposition in this first part includes relation and order theory as well as a construction of number systems.

(

**11881**views)