Counting Lattice Paths Using Fourier Methods (Lecture Notes in Applied and Numerical Harmonic Analysis)

Ault, Shaun; Kicey, Charles

ISBN 10: 3030266958 ISBN 13: 9783030266950

Edit� par Birkhäuser, 2019

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Synopsis :

Lattice Paths and Corridors.- One-Dimensional Lattice Walks.- Lattice Walks in Higher Dimensions.- Corridor State Space.- Review: Complex Numbers.- Triangular Lattices.- Selected Solutions.- Index.

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Titre : Counting Lattice Paths Using Fourier Methods...
�diteur : Birkh�user
Date d'�dition : 2019
Reliure : Couverture souple
Etat : New

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Counting Lattice Paths Using Fourier Methods

Kicey, Charles

Edit� par Springer, 2019

ISBN 10 : 3030266958 ISBN 13 : 9783030266950

Ancien ou d'occasion Couverture souple

Vendeur : Buchpark, Trebbin, Allemagne

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Etat : Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: B�cher | 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. N� de r�f. du vendeur 35470582/2

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Counting Lattice Paths Using Fourier Methods

Shaun Ault|Charles Kicey

Edit� par Springer International Publishing, 2019

ISBN 10 : 3030266958 ISBN 13 : 9783030266950

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduces a unique technique to count lattice paths by using the discrete Fourier transformExplores the interconnection between combinatorics and Fourier methodsMotivates students to move from o. N� de r�f. du vendeur 385699595

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Counting Lattice Paths Using Fourier Methods

Ault, Shaun

Edit� par Birkhauser 2019-08, 2019

ISBN 10 : 3030266958 ISBN 13 : 9783030266950

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Counting Lattice Paths Using Fourier Methods

Charles Kicey (u. a.)

Edit� par Springer International Publishing, 2019

ISBN 10 : 3030266958 ISBN 13 : 9783030266950

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Counting Lattice Paths Using Fourier Methods (Lecture Notes in Applied and Numerical Harmonic Analysis)

Ault, Shaun; Kicey, Charles

Edit� par Birkh�user, 2019

ISBN 10 : 3030266958 ISBN 13 : 9783030266950

Neuf Couverture souple

Vendeur : Lucky's Textbooks, Dallas, TX, Etats-Unis

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Counting Lattice Paths Using Fourier Methods

Charles Kicey

Edit� par Springer International Publishing, Springer International Publishing, 2019

ISBN 10 : 3030266958 ISBN 13 : 9783030266950

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N� de r�f. du vendeur 9783030266950

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Counting Lattice Paths Using Fourier Methods

Charles Kicey

Edit� par Springer International Publishing Aug 2019, 2019

ISBN 10 : 3030266958 ISBN 13 : 9783030266950

Neuf Taschenbuch

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 148 pp. Englisch. N� de r�f. du vendeur 9783030266950

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Counting Lattice Paths Using Fourier Methods

Charles Kicey

Edit� par Springer International Publishing, Springer International Publishing Aug 2019, 2019

ISBN 10 : 3030266958 ISBN 13 : 9783030266950

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 148 pp. Englisch. N� de r�f. du vendeur 9783030266950

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