03693cam a22006135i 4500 21818016 20240423153910.0 m |o d | cr ||||||||||| 190510s2019 gw |||| o |||| 0|eng 0 ibc origres u ncip 20 y-gencatlg acquire pcnspringer policy default (DE-He213)978-3-030-02462-8 2019763756 9783030024628 10.1007/978-3-030-02462-8 doi DLC eng pn rda DLC MAT034000 bisacsh PBK bicssc PBK thema 515.24 23 QA292 QA295 Vălean, Cornel Ioan, author. 2498 (Almost) Impossible Integrals, Sums, and Series / by Cornel Ioan Vălean. 1st ed. 2019. Cham : Springer International Publishing : Imprint: Springer, 2019. 1 online resource (XXXVIII, 539 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Problem Books in Mathematics, 0941-3502 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. Description based on publisher-supplied MARC data. Engineering mathematics. 2499 Functions of real variables. 2500 Number theory. 2501 Physics. 2502 Sequences (Mathematics). 2503 Special functions. 2504 Sequences, Series, Summability. https://scigraph.springernature.com/ontologies/product-market-codes/M1218X 2505 Engineering Mathematics. https://scigraph.springernature.com/ontologies/product-market-codes/T11030 2506 Mathematical Methods in Physics. https://scigraph.springernature.com/ontologies/product-market-codes/P19013 2507 Number Theory. https://scigraph.springernature.com/ontologies/product-market-codes/M25001 2508 Real Functions. https://scigraph.springernature.com/ontologies/product-market-codes/M12171 2509 Special Functions. https://scigraph.springernature.com/ontologies/product-market-codes/M1221X 2510 Print version: (almost) impossible integrals, sums, and series 9783030024611 (DLC) 2018966810 Printed edition: 9783030024611 Printed edition: 9783030024635 Problem Books in Mathematics, 0941-3502 2511 springerpcn batch7 s-Online Electronic Resource 37668 37668