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(Almost) Impossible Integrals, Sums, and Series
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Catalogue Information
Field name
Details
Dewey Class
515.24
Title
(Almost) Impossible Integrals, Sums, and Series ([EBook]) / by Cornel Ioan Vălean.
Author
Vălean, Cornel Ioan
Other name(s)
SpringerLink (Online service)
Publication
Cham : Springer International Publishing , 2019.
Physical Details
XXXVIII, 539 pages : online resource.
Series
Problem books in mathematics
ISBN
9783030024628
Summary Note
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.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-02462-8
Links to Related Works
Subject References:
Engineering mathematics
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Functions of real variables
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Mathematical Methods in Physics
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Number Theory
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Real Functions
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Sequences (Mathematics)
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Sequences, Series, Summability
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Special Functions
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Authors:
author
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Vălean, Cornel Ioan
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Corporate Authors:
SpringerLink (Online service)
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Series:
Problem books in mathematics
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Classification:
515.24
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515.24 (DDC 23)
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