| 书目名称 | Inquiry-Based Enumerative Combinatorics |
| 副标题 | One, Two, Skip a Few |
| 编辑 | T. Kyle Petersen |
| 视频video | |
| 概述 | 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). |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .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 |
| 出版日期 | Textbook 2019 |
| 关键词 | Inquiry-based combinatorics; Undergraduate combinatorics textbook; Inquiry-Based Learning; Discrete Mat |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-18308-0 |
| isbn_softcover | 978-3-030-18310-3 |
| isbn_ebook | 978-3-030-18308-0Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 18:58:50
