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.
Betal nemt med kort, Klarna, Apple Pay eller Google Pay. Ikke tilfreds? Du har altid 14 dages fortrydelsesret. Læs mere i vores vilkår. Har du spørgsmål, så send os en mail på hello@memmo.org.
Memmo gør det nemmere at studere – uanset hvor du er i verden. Hos os samler du dine kursusbøger og smarte studieværktøjer ét sted: resuméer, quizzer, podcasts og flashcards. Og så er der Ted, din studieven, der svarer på alt, du undrer dig over. Over 50 000 studerende studerer allerede her – bygget til at hjælpe dig med at lære hurtigere og stresse mindre.