Limits, Series, and Fractional Part Integrals: Problems in by Ovidiu Furdui PDF

By Ovidiu Furdui

This ebook good points tough difficulties of classical research that invite the reader to discover a number of concepts and instruments used for fixing difficulties of contemporary subject matters in genuine research. This quantity deals an strange selection of difficulties — a lot of them unique — focusing on 3 issues of mathematical research: limits, sequence, and fractional half integrals.

The paintings is split into 3 components, every one containing a bankruptcy facing a specific challenge variety in addition to a truly brief element of tricks to pick difficulties. the 1st bankruptcy collects difficulties on limits of distinctive sequences and Riemann integrals; the second one chapter focuses on the calculation of fractional half integrals with a different part known as ‘Quickies’ which includes difficulties that experience had unforeseen succinct options. the ultimate bankruptcy bargains the reader an collection of issues of a taste in the direction of the computational facets of countless sequence and distinctive items, lots of that are new to the literature. every one bankruptcy features a portion of tricky difficulties that are influenced by means of different difficulties within the e-book. those ‘Open difficulties’ will be thought of learn tasks for college students who're learning complex calculus, and which are meant to stimulate creativity and the invention of recent and unique tools for proving identified effects and setting up new ones.

This stimulating selection of difficulties is meant for undergraduate scholars with a robust history in research; graduate scholars in arithmetic, physics, and engineering; researchers; and someone who works on subject matters on the crossroad among natural and utilized arithmetic. additionally, the extent of difficulties is acceptable for college students eager about the Putnam pageant and different excessive point mathematical contests.

Show description

Read Online or Download Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis (Problem Books in Mathematics) PDF

Best number theory books

Birational Geometry, Rational Curves, and Arithmetic (Simons by Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel PDF

​​​​This ebook positive factors contemporary advancements in a swiftly turning out to be region on the interface of higher-dimensional birational geometry and mathematics geometry.  It makes a speciality of the geometry of areas of rational curves, with an emphasis on functions to mathematics questions.  Classically, mathematics is the research of rational or necessary options of diophantine equations and geometry is the examine of strains and conics.

Download e-book for iPad: Analytic Number Theory, Approximation Theory, and Special by Gradimir V. Milovanović,Michael Th. Rassias

This ebook, in honor of Hari M. Srivastava, discusses crucial advancements in mathematical learn in various difficulties. It includes thirty-five articles, written via eminent scientists from the overseas mathematical group, together with either learn and survey works. matters coated comprise analytic quantity concept, combinatorics, designated sequences of numbers and polynomials, analytic inequalities and functions, approximation of capabilities and quadratures, orthogonality and particular and complicated capabilities.

New PDF release: L-Functions and Arithmetic (London Mathematical Society

This quantity is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of a number of brief classes, geared toward providing rigorous yet non-technical expositions of the most recent examine components, and a couple of person lectures on particular issues. The members are all striking figures within the sector of algebraic quantity concept and this quantity might be of lasting price to scholars and researchers operating within the sector.

Download e-book for iPad: Quadratic Residues and Non-Residues: Selected Topics by Steve Wright

This ebook deals an account of the classical thought of quadratic residues and non-residues with the aim of utilizing that idea as a lens during which to view the improvement of a few of the basic equipment hired in smooth user-friendly, algebraic, and analytic quantity idea. the 1st 3 chapters current a few easy evidence and the background of quadratic residues and non-residues and speak about a variety of proofs of the legislations of Quadratic Reciprosity intensive, with an emphasis at the six proofs that Gauss released.

Extra resources for Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis (Problem Books in Mathematics)

Sample text

Download PDF sample

Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis (Problem Books in Mathematics) by Ovidiu Furdui


by Edward
4.2

Rated 4.75 of 5 – based on 14 votes