More (Almost) Impossible Integrals, Sums, and Series

A New Collection of Fiendish Problems and Surprising Solutions

Cornel Ioan Vălean (Autor)

Buch | Hardcover

XXXIV, 816 Seiten

2023 | 2023
Springer International Publishing (Verlag)
978-3-031-21261-1 (ISBN)

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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.

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.

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

Erscheinungsdatum	26.05.2023
Reihe/Serie	Problem Books in Mathematics
Zusatzinfo	XXXIV, 816 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1436 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	generalized harmonic series • integration puzzles • Integration Techniques • logarithmic integrals • polylogarithmic integrals • properties of special functions • puzzles with harmonic series • summation puzzles • Summation techniques • sums involving zeta functions
ISBN-10	3-031-21261-4 / 3031212614
ISBN-13	978-3-031-21261-1 / 9783031212611
Zustand	Neuware