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商品詳細
Lattice Path Combinatorics and Special Counting Sequences : From an Enumerative Perspective.
・ISBN 978-1-032-67175-8 hard GB£ 83.99
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-003-50991-2
| 著者・編者 | Song, Chunwei, |
|---|---|
| 出版社 | (CRC Press, UK) |
| 出版年月 | 2024 |
| ページ数 | 105 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-13071＞ |
解説
This book endeavors to deepen our understanding of lattice path combinatorics, explore key types of special sequences, elucidate their interconnections, and concurrently champion the author's interpretation of the "combinatorial spirit".
The author intends to give an up-to-date introduction to the theory of lattice path combinatorics, its relation to those special counting sequences important in modern combinatorial studies, such as the Catalan, Schroeder, Motzkin, Delannoy numbers, and their generalized versions. Brief discussions of applications of lattice path combinatorics to symmetric functions and connections to the theory of tableaux are also included. Meanwhile, the author also presents an interpretation of the "combinatorial spirit" (i.e., "counting without counting", bijective proofs, and understanding combinatorics from combinatorial structures internally, and more), hoping to shape the development of contemporary combinatorics.
Lattice Path Combinatorics and Special Counting Sequences: From an Enumerative Perspective will appeal to graduate students and advanced undergraduates studying combinatorics, discrete mathematics, or computer science.