More (Almost) Impossible Integrals, Sums, and Series

A New Collection of Fiendish Problems and Surprising Solutions
2023
ISBN: 978-3-031-21264-2
Verlag: Springer Nature Switzerland

Buch, Englisch, 816 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1264 g

Reihe: 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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

V¿lean, Cornel Ioan

Valean, Cornel Ioan

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

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

Über Autor(innen)

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.