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Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Limits, Series, and Fractional Part Integrals (EB) : Problems in Mathematical Analysis / by Ovidiu Furdui.
Author
Furdui, Ovidiu. , 1974-
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer
, 2013.
Physical Details
XVIII, 274 pages : online resource.
Series
Problem books in mathematics
0941-3502
ISBN
9781461467625
Summary Note
Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis features original problems in classical analysis that invite the reader to explore a host of strategies and mathematical tools used for solving real analysis problems. The book is designed to fascinate the novice, puzzle the expert, and trigger the imaginations of all. The text is geared toward graduate students in mathematics and engineering, researchers, and anyone who works on topics at the frontier of pure and applied mathematics. Moreover, it is the first book in mathematical literature concerning the calculation of fractional part integrals and series of various types. Most problems are neither easy nor standard and deal with modern topics of classical analysis. Each chapter has a section of open problems that may be considered as research projects for students who are taking advanced calculus classes. The intention of having these problems collected in the book is to stimulate the creativity and the discovery of new and original methods for proving known results and establishing new ones. The book is divided into three parts, each of them containing a chapter dealing with a particular type of problems. The first chapter contains problems on limits of special sequences and Riemann integrals; the second chapter deals with the calculation of special classes of integrals involving a fractional part term; and the third chapter hosts a collection of problems on the calculation of series (single or multiple) involving either a numerical or a functional term. Â :
Contents note
Preface -- Notations -- 1. Limits -- 2. Fractional Part Integrals -- 3. A Bouquet of Series -- A. Elements of Classical Analysis -- B. StolzâCesà ro Lemma -- References -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-1-4614-6762-5
Links to Related Works
Subject References:
Analysis
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Functions, Special
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Global analysis (Mathematics)
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Mathematics
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Sequences (Mathematics)
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Sequences, Series, Summability
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Special Functions
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Authors:
Furdui, Ovidiu. 1974-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Problem books in mathematics
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Classification:
515
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