00918nam a2200277 i 4500991003564519707536181106s2010 it b 001 0 ita d9788817010498b14352515-39ule_instDip. di Studi Umanisticiitaitager230.092 Küng, Hans390413Ciò che credo /Hans Kung ; traduzione di Chicca Galli3. edMilano :Rizzoli,2010359 p. :Ill. ;23 cmBibliografia: p. 357-360Galli, ChiccaWas ich glaube .b1435251506-11-1806-11-18991003564519707536LE005 230 KUN 01.0112005000361081le005gE20.00-l- 00000.i1586620806-11-18Ciò che credo1749208UNISALENTOle00506-11-18ma -itait 0003307nam 22004815 450 991033825300332120200702130935.03-030-18308-410.1007/978-3-030-18308-0(CKB)4100000008527454(DE-He213)978-3-030-18308-0(MiAaPQ)EBC5926106(PPN)269145532(EXLCZ)99410000000852745420190628d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierInquiry-Based Enumerative Combinatorics One, Two, Skip a Few... Ninety-Nine, One Hundred /by T. Kyle Petersen1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XI, 238 p. 104 illus., 9 illus. in color.) Undergraduate Texts in Mathematics,0172-60563-030-18307-6 0. Introduction to this book -- 1. First Principles -- 2. Permutations -- 3. Combinations -- 4. The Binomial Theorem -- 5. Recurrences -- 6. Generating Functions -- 7. Exponential Generating Functions and Bell Numbers -- 8. Eulerian Numbers -- 9. Catalan and Narayana Numbers -- 10. Refined Enumeration -- 11. Applications to Probability -- 12. Some Partition Theory -- 13. A Bit of Number Theory -- A. Supplementary Exercises.This textbook offers the opportunity to create a uniquely engaging combinatorics classroom by embracing Inquiry-Based Learning (IBL) techniques. Readers are provided with a carefully chosen progression of theorems to prove and problems to actively solve. Students will feel a sense of accomplishment as their collective inquiry traces a path from the basics to important generating function techniques. Beginning with an exploration of permutations and combinations that culminates in the Binomial Theorem, the text goes on to guide the study of ordinary and exponential generating functions. These tools underpin the in-depth study of Eulerian, Catalan, and Narayana numbers that follows, and a selection of advanced topics that includes applications to probability and number theory. Throughout, the theory unfolds via over 150 carefully selected problems for students to solve, many of which connect to state-of-the-art research. Inquiry-Based Enumerative Combinatorics is ideal for lower-division undergraduate students majoring in math or computer science, as there are no formal mathematics prerequisites. Because it includes many connections to recent research, students of any level who are interested in combinatorics will also find this a valuable resource.Undergraduate Texts in Mathematics,0172-6056Combinatorial analysisCombinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Combinatorial analysis.Combinatorics.511.6511.6Petersen T. Kyleauthttp://id.loc.gov/vocabulary/relators/aut755510MiAaPQMiAaPQMiAaPQBOOK9910338253003321Inquiry-Based Enumerative Combinatorics1732506UNINA