Problem Books in Mathematics

(Almost) Impossible Integrals, Sums, and Series

Authors: Valean, Cornel Ioan

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  • Presents new and ingenious derivations for classical and original problems
  • Contains over 500 worked problems
  • Includes ‘Hints’ sections to guide the reader toward obtaining a solution or to more information about a problem
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eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-030-02462-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA in USD
  • ISBN 978-3-030-02461-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

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.


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-030-02462-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA in USD
  • ISBN 978-3-030-02461-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
(Almost) Impossible Integrals, Sums, and Series
Authors
Series Title
Problem Books in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-02462-8
DOI
10.1007/978-3-030-02462-8
Hardcover ISBN
978-3-030-02461-1
Series ISSN
0941-3502
Edition Number
1
Number of Pages
XXXVIII, 539
Topics