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The Resource Counting Lattice Paths Using Fourier Methods, by Shaun Ault, Charles Kicey, (electronic resource)

Counting Lattice Paths Using Fourier Methods, by Shaun Ault, Charles Kicey, (electronic resource)

Label
Counting Lattice Paths Using Fourier Methods
Title
Counting Lattice Paths Using Fourier Methods
Statement of responsibility
by Shaun Ault, Charles Kicey
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Is part of
http://library.link/vocab/creatorName
Ault, Shaun
Dewey number
515.2433
Image bit depth
0
LC call number
QA403.5-404.5
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Kicey, Charles.
  • SpringerLink (Online service)
Series statement
Lecture Notes in Applied and Numerical Harmonic Analysis,
http://library.link/vocab/subjectName
  • Fourier analysis
  • Harmonic analysis
  • Combinatorics
  • Fourier Analysis
  • Abstract Harmonic Analysis
  • Combinatorics
Label
Counting Lattice Paths Using Fourier Methods, by Shaun Ault, Charles Kicey, (electronic resource)
Link
https://doi.org/10.1007/978-3-030-26696-7
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Lattice Paths and Corridors -- One-Dimensional Lattice Walks -- Lattice Walks in Higher Dimensions -- Corridor State Space -- Review: Complex Numbers -- Triangular Lattices -- Selected Solutions -- Index
Control code
978-3-030-26696-7
Dimensions
unknown
Edition
1st ed. 2019.
Extent
XII, 136 p. 60 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783030266967
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-26696-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1122604085
Label
Counting Lattice Paths Using Fourier Methods, by Shaun Ault, Charles Kicey, (electronic resource)
Link
https://doi.org/10.1007/978-3-030-26696-7
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Lattice Paths and Corridors -- One-Dimensional Lattice Walks -- Lattice Walks in Higher Dimensions -- Corridor State Space -- Review: Complex Numbers -- Triangular Lattices -- Selected Solutions -- Index
Control code
978-3-030-26696-7
Dimensions
unknown
Edition
1st ed. 2019.
Extent
XII, 136 p. 60 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783030266967
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-26696-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1122604085

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