EAN: 9783030024611

(ALMOST) IMPOSSIBLE INTEGRALS SUMS AND SERIES -...

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.

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