More (Almost) Impossible Integrals, Sums, and Series: A New Collection of Fiendish Problems and Surprising...

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Cornel Ioan Vălean

More (Almost) Impossible Integrals, Sums, and Series

A New Collection of Fiendish Problems and Surprising Solutions

Cornel Ioan Vălean

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Hardback

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English

Springer International Publishing AG
25 May 2023

Number theory; Calculus & mathematical analysis; Real analysis, real variables; Functional analysis & transforms; Mathematical physics

Series: Problem Books in Mathematics

This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks. As in the author’s previous book, these fascinating mathematical problems are shown in new and engaging ways, 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. Classical problems are shown in a fresh light, with new, surprising or unconventional ways of obtaining the desired results devised by the author. This book is accessible to readers with a good knowledge of calculus, from undergraduate students to researchers. It will appeal to all mathematical puzzlers wholove a good integral or series and aren’t afraid of a challenge.

By: Cornel Ioan Vălean
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2023 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 1.436kg
ISBN: 9783031212611
ISBN 10: 3031212614
Series: Problem Books in Mathematics
Pages: 816
Publication Date: 25 May 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Cornel Ioan Vălean 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.