(Almost) Impossible Integrals, Sums, and S...

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Sprache: Englisch

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Beschreibung

This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. 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. 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. 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. 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.

Über den Autor

Cornel Ioan Valean lives in Romania. While his background is in accounting and business informatics, he is also an independent researcher and self-educated in the area of the calculation of integrals, series and limits. He has published his work in the Journal of Classical Analysis and the Mediterranean Journal of Mathematics, and has made several contributions to the Problems section of the American Mathematical Monthly.

Zusammenfassung

Presents new and ingenious derivations for classical and original problems

Contains over 500 worked problems

Includes 'Hints' sections to guide the reader toward obtaining a solution or to more information about a problem

Inhaltsverzeichnis

Chapter1. Integrals.- Chapter2. Sums and Series.

Details

Erscheinungsjahr:	2019
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xxxviii 539 S.
ISBN-13:	9783030024611
ISBN-10:	303002461X
Sprache:	Englisch
Herstellernummer:	978-3-030-02461-1
Einband:	Gebunden
Autor:	V¿lean, Cornel Ioan
Auflage:	1st edition 2019
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 35 mm
Von/Mit:	Cornel Ioan V¿lean
Erscheinungsdatum:	24.05.2019
Gewicht:	1,133 kg

Artikel-ID: 114439365