عنوان
پدید آورنده
موضوع
رده
QA171.5 .A85 2019eb
QA171
.
5
.
A85
2019eb
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3030266966
(Number (ISBN
9783030266967
Erroneous ISBN
9783030266950
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Counting lattice paths using Fourier methods /
General Material Designation
[Book]
First Statement of Responsibility
Shaun Ault, Charles Kicey.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham :
Name of Publisher, Distributor, etc.
Birkhäuser,
Date of Publication, Distribution, etc.
[2019]
Date of Publication, Distribution, etc.
©2019
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource :
Other Physical Details
illustrations
SERIES
Series Title
Applied and numerical harmonic analysis,
ISSN of Series
2512-6482
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Intro; LN-ANHA Series Preface; Preface; Contents; 1 Lattice Paths and Corridors; 1.1 Corridor Paths; 1.2 Corridor Numbers and State Vectors; 1.3 Dyck Paths and Motzkin Paths; 1.4 The Binomial Coefficients and Unbounded Lattices; 1.5 Relationship to Reflection Principle; 1.6 Application: Skewed-Bottom Corridors; 2 One-Dimensional Lattice Walks; 2.1 Reflections and Transitions; 2.2 The Discrete Fourier Transform; 2.3 Computing Vertex Numbers Using the DFT; 2.4 Application: Three-Way Paths; 2.5 Application: Unbounded Corridors; 2.6 Application: Walks in Cycle Graphs
Text of Note
3 Lattice Walks in Higher Dimensions3.1 Multidimensional Corridors; 3.2 Admissibility and Balanced Transition Operators; 3.3 Fourier Analysis of Multidimensional Corridors; 3.4 Walks Within Corridors with Boundary Identifications; 4 Corridor State Space; 4.1 Vertex States as Vectors; 4.2 Using Eigenvectors to Count Corridor Paths; 4.3 Application: Asymptotic Analysis of Centered Corridors; 4.4 Higher Dimensional Centered Corridors; A Review: Complex Numbers; A.1 Properties of the Complex Numbers; A.2 The Complex Exponential; A.3 Complex Vector Spaces; B Triangular Lattices
Text of Note
B.1 Triangular Lattices and Triangle GroupsB. 2 Tilings of the Plane and Corridors; B.3 Application: Walks in Low-Dimensional Wedges; Selected Solutions; References; ; Index
0
8
8
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783030266967
OTHER EDITION IN ANOTHER MEDIUM
Title
Counting Lattice Paths Using Fourier Methods.
International Standard Book Number
9783030266950
TOPICAL NAME USED AS SUBJECT
Fourier transformations.
Lattice paths.
Fourier transformations.
Lattice paths.
DEWEY DECIMAL CLASSIFICATION
Number
511
.
3/3
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA171
.
5
Book number
.
A85
2019eb
PERSONAL NAME - PRIMARY RESPONSIBILITY
Ault, Shaun V.,1979-
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Kicey, Charles
ORIGINATING SOURCE
Date of Transaction
20200823093625.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
