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More (Almost) Impossible Integrals, Sums, and Series: A New Collection of Fiendish Problems and Surprising Solutions: Problem Books in Mathematics

Autor Cornel Ioan Vălean
en Limba Engleză Paperback – 25 mai 2024
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.
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Specificații

ISBN-13: 9783031212642
ISBN-10: 3031212649
Pagini: 816
Ilustrații: XXXIV, 816 p.
Dimensiuni: 155 x 235 mm
Ediția:2023
Editura: Springer International Publishing
Colecția Springer
Seria Problem Books in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Chapter 1. Integrals.- Chapter 2. Hints.- Chapter 3. Solutions.- Chapter 4. Sums and Series.- Chapter 5. Hints.- Chapter 6. Solutions.

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

Presents a whole new collection of fiendish problems and solutions devised by the author Contains over 500 integrals, sums, and series throughout the book, most being new Includes ‘Hints’ sections to guide the reader toward obtaining a solution or to more information about a problem