eBook - ePub

Lattice Path Combinatorics and Special Counting Sequences

Name: Lattice Path Combinatorics and Special Counting Sequences
ISBN: 9781040123423

From an Enumerative Perspective

Chunwei Song,

120 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Lattice Path Combinatorics and Special Counting Sequences

From an Enumerative Perspective

Chunwei Song,

About this book

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, Schröder, 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.

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Yes, you can access Lattice Path Combinatorics and Special Counting Sequences by Chunwei Song in PDF and/or ePUB format, as well as other popular books in Mathematics & Computer Science General. We have over one million books available in our catalogue for you to explore.