Limits Series And Fractional Part Integrals

Limits Series And Fractional Part Integrals by Ovidiu Furdui. Download in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets. Limits Series And Fractional Part Integrals books. Click Download for free ebooks.

Limits Series And Fractional Part Integrals

Limits Series And Fractional Part Integrals
Author: Ovidiu Furdui
Publisher: Springer Science & Business Media
ISBN: 1461467624
Size: 62.72 MB
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This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical analysis: limits, series, and fractional part integrals. The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of hints to select problems. The first chapter collects problems on limits of special sequences and Riemann integrals; the second chapter focuses on the calculation of fractional part integrals with a special section called ‘Quickies’ which contains problems that have had unexpected succinct solutions. The final chapter offers the reader an assortment of problems with a flavor towards the computational aspects of infinite series and special products, many of which are new to the literature. Each chapter contains a section of difficult problems which are motivated by other problems in the book. These ‘Open Problems’ may be considered research projects for students who are studying advanced calculus, and which are intended to stimulate creativity and the discovery of new and original methods for proving known results and establishing new ones. This stimulating collection of problems is intended for undergraduate students with a strong background in analysis; graduate students in mathematics, physics, and engineering; researchers; and anyone who works on topics at the crossroad between pure and applied mathematics. Moreover, the level of problems is appropriate for students involved in the Putnam competition and other high level mathematical contests.
Limits, Series, and Fractional Part Integrals
Language: en
Pages: 274
Authors: Ovidiu Furdui
Categories: Mathematics
Type: BOOK - Published: 2013-05-30 - Publisher: Springer Science & Business Media
This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical
Limits, Series, and Fractional Part Integrals
Language: en
Pages: 260
Authors: Jai Rathod
Categories: Mathematics
Type: BOOK - Published: 2016-04-01 - Publisher:
In mathematics, a limits in the value that a function or sequence approaches as the input or index approaches some value. Limits are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives, and integrals. Many times, a function can be undefined at a point,
Basic Theory
Language: en
Pages: 489
Authors: Anatoly Kochubei, Yuri Luchko
Categories: Mathematics
Type: BOOK - Published: 2019-02-19 - Publisher: Walter de Gruyter GmbH & Co KG
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other
Ramanujan Summation of Divergent Series
Language: en
Pages: 195
Authors: Bernard Candelpergher
Categories: Mathematics
Type: BOOK - Published: 2017-09-12 - Publisher: Springer
The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions.
Square Matrices of Order 2
Language: en
Pages: 370
Authors: Vasile Pop, Ovidiu Furdui
Categories: Mathematics
Type: BOOK - Published: 2017-05-08 - Publisher: Springer
This unique and innovative book presents an exciting and complete detail of all the important topics related to the theory of square matrices of order 2. The readers exploring every detailed aspect of matrix theory are gently led toward understanding advanced topics. They will follow every notion of matrix theory
The Differential and Integral Calculus
Language: en
Pages: 785
Authors: Augustus De Morgan
Categories: Calculus
Type: BOOK - Published: 1842 - Publisher:
Books about The Differential and Integral Calculus
The Differential and Integral Calculus Containing Differentiation, Integration ...
Language: en
Pages: 849
Authors: Augustus De_Morgan
Categories: Calculus
Type: BOOK - Published: 1842 - Publisher:
Books about The Differential and Integral Calculus Containing Differentiation, Integration ...
Introduction to the Theory of Fourier's Series and Integrals and the Mathematical Theory of the Conduction of Heat
Language: en
Pages: 434
Authors: Horatio Scott Carslaw
Categories: Definite integrals
Type: BOOK - Published: 1906 - Publisher:
Books about Introduction to the Theory of Fourier's Series and Integrals and the Mathematical Theory of the Conduction of Heat
Physics of Fractal Operators
Language: en
Pages: 354
Authors: Bruce West, Mauro Bologna, Paolo Grigolini
Categories: Mathematics
Type: BOOK - Published: 2003-01-14 - Publisher: Springer Science & Business Media
In Chapter One we review the foundations of statistieal physies and frac­ tal functions. Our purpose is to demonstrate the limitations of Hamilton's equations of motion for providing a dynamical basis for the statistics of complex phenomena. The fractal functions are intended as possible models of certain complex phenomena; physical.systems
Malliavin Calculus and Its Applications
Language: en
Pages: 85
Authors: David Nualart
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.
The Malliavin calculus was developed to provide a probabilistic proof of Hormander's hypoellipticity theorem. The theory has expanded to encompass other significant applications. The main application of the Malliavin calculus is to establish the regularity of the probability distribution of functionals of an underlying Gaussian process. In this way, one