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200 10$a(Almost) Impossible Integrals, Sums, and Series /$fby Cornel Ioan V?lean
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XXXVIII, 539 p.)
225 1 $aProblem Books in Mathematics,$x0941-3502
311   $a3-030-02461-X 
330   $aThis book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.
410  0$aProblem Books in Mathematics,$x0941-3502
606   $aSequences (Mathematics)
606   $aSpecial functions
606   $aNumber theory
606   $aFunctions of real variables
606   $aPhysics
606   $aEngineering mathematics
606   $aSequences, Series, Summability$3https://scigraph.springernature.com/ontologies/product-market-codes/M1218X
606   $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030
615  0$aSequences (Mathematics).
615  0$aSpecial functions.
615  0$aNumber theory.
615  0$aFunctions of real variables.
615  0$aPhysics.
615  0$aEngineering mathematics.
615 14$aSequences, Series, Summability.
615 24$aSpecial Functions.
615 24$aNumber Theory.
615 24$aReal Functions.
615 24$aMathematical Methods in Physics.
615 24$aEngineering Mathematics.
676   $a515.43
700   $aV?lean$b Cornel Ioan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0780950
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