Inquiry-Based Enumerative Combinatorics

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58,84 €

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One, Two, Skip a Few… Ninety-Nine, One Hundred, Undergraduate Texts in Mathematics

ISBN: 3030183076
ISBN 13: 9783030183073
Autor: Petersen, T Kyle
Verlag: Springer Verlag GmbH
Umfang: xi, 238 S., 95 s/w Illustr., 9 farbige Illustr., 238 p. 104 illus., 9 illus. in color.
Erscheinungsdatum: 24.08.2019
Auflage: 1/2019
Produktform: Gebunden/Hardback
Einband: GEB

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. InquiryBased Enumerative Combinatorics is ideal for lowerdivision 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.

Artikelnummer: 7011744 Kategorie:

Beschreibung

Autorenporträt

T. Kyle Petersen is Professor of Mathematics at DePaul University in Chicago. His research interests lie in algebraic, enumerative, and topological combinatorics, and he has been an active member of the Inquiry-Based Learning (IBL) community for over a decade. His graduate textbook, Eulerian Numbers, appears in Birkhäuser Advanced Texts Basler Lehrbücher.

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