Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. Governing access note Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Cham, Springer International Publishing | Imprint: Springer, 2019Īntecedent source mixed Carrier category online resource Carrier category codeĬarrier MARC source rdacarrier Color not applicable Content category text Content type codeĬontent type MARC source rdacontent Control code 978-2-8 Dimensions unknown Extent 1 online resource (XXXVIII, 539 pages) File format multiple file formats Form of item.(Almost) Impossible Integrals, Sums, and Series.Label (Almost) Impossible Integrals, Sums, and Series, by Cornel Ioan Vălean, (electronic resource) Link Instantiates The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.- Member ofĪssigning source Provided by publisher Vălean, Cornel Ioan Image bit depth 0 Literary form non fiction Nature of contents dictionaries Series statement Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Language eng Summary This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. Label (Almost) Impossible Integrals, Sums, and Series Title (Almost) Impossible Integrals, Sums, and Series Statement of responsibility by Cornel Ioan Vălean Creator ![]() The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series. ![]() Main article: Convergence of Fourier seriesĪ proof that a Fourier series is a valid representation of any periodic function (that satisfies the Dirichlet conditions) is overviewed in § Fourier theorem proving convergence of Fourier series.Summary This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. Function s 6 ( x ) is differentiable, and therefore:
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