Téléchargez le livre : Counting Lattice Paths Using Fourier Methods

Counting Lattice Paths Using Fourier Methods

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Éditeur :

Birkhäuser


Collection :

Applied and Numerical Harmonic Analysis

Paru le : 2019-08-30

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Description

This monograph introduces a novel and effective approach to counting lattice paths by using the discrete Fourier transform (DFT) as a type of periodic generating function. Utilizing a previously unexplored connection between combinatorics and Fourier analysis, this method will allow readers to move to higher-dimensional lattice path problems with ease. The technique is carefully developed in the first three chapters using the algebraic properties of the DFT, moving from one-dimensional problems to higher dimensions. In the following chapter, the discussion turns to geometric properties of the DFT in order to study the corridor state space. Each chapter poses open-ended questions and exercises to prompt further practice and future research. Two appendices are also provided, which cover complex variables and non-rectangular lattices, thus ensuring the text will be self-contained and serve as a valued reference.


Counting Lattice Paths Using Fourier Methods is ideal for upper-undergraduates and graduate students studying combinatorics or other areas of mathematics, as well as computer science or physics. Instructors will also find this a valuable resource for use in their seminars. Readers should have a firm understanding of calculus, including integration, sequences, and series, as well as a familiarity with proofs and elementary linear algebra.
Pages
136 pages
Collection
Applied and Numerical Harmonic Analysis
Parution
2019-08-30
Marque
Birkhäuser
EAN papier
9783030266950
EAN PDF
9783030266967
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
3645 Ko
Prix
73,84 €
EAN EPUB
9783030266967
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
11315 Ko
Prix
73,84 €

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