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Undergraduate Texts in Mathematics

Inquiry-Based Enumerative Combinatorics

One, Two, Skip a Few... Ninety-Nine, One Hundred

Authors: Petersen, T. Kyle

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  • Equips readers with the fundamentals of enumerative combinatorics with an emphasis on generating function techniques
  • Promotes an engaging learning experience by utilizing Inquiry-Based Learning (IBL)
  • Offers an accessible entry-point to enumerative combinatorics that builds from minimal prerequisites to a selection of advanced topics
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eBook 36,99 €
price for Spain (gross)
  • ISBN 978-3-030-18308-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-030-18307-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

About the authors

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.

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook 36,99 €
price for Spain (gross)
  • ISBN 978-3-030-18308-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-030-18307-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Inquiry-Based Enumerative Combinatorics
Book Subtitle
One, Two, Skip a Few... Ninety-Nine, One Hundred
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-18308-0
DOI
10.1007/978-3-030-18308-0
Hardcover ISBN
978-3-030-18307-3
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XI, 238
Number of Illustrations
95 b/w illustrations, 9 illustrations in colour
Topics