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

Ault, Shaun; Kicey, Charles

ISBN 10: 3030266958 ISBN 13: 9783030266950

Editorial: Birkhäuser, 2019

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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.

Acerca del autor: Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

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T�tulo: Counting Lattice Paths Using Fourier Methods...
Editorial: Birkh�user
A�o de publicaci�n: 2019
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Counting Lattice Paths Using Fourier Methods

Kicey, Charles

Publicado por Springer, 2019

ISBN 10: 3030266958 ISBN 13: 9783030266950

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Condici�n: 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 ref. del art�culo: 35470582/2

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Counting Lattice Paths Using Fourier Methods

Shaun Ault|Charles Kicey

Publicado por Springer International Publishing, 2019

ISBN 10: 3030266958 ISBN 13: 9783030266950

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Condici�n: 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 ref. del art�culo: 385699595

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Counting Lattice Paths Using Fourier Methods

Ault, Shaun

Publicado por Birkhauser 2019-08, 2019

ISBN 10: 3030266958 ISBN 13: 9783030266950

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Counting Lattice Paths Using Fourier Methods

Charles Kicey (u. a.)

Publicado por 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

Publicado por Birkh�user, 2019

ISBN 10: 3030266958 ISBN 13: 9783030266950

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Counting Lattice Paths Using Fourier Methods

Charles Kicey

Publicado por Springer International Publishing, Springer International Publishing, 2019

ISBN 10: 3030266958 ISBN 13: 9783030266950

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Taschenbuch. Condici�n: 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 ref. del art�culo: 9783030266950

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Counting Lattice Paths Using Fourier Methods

Charles Kicey

Publicado por Springer International Publishing Aug 2019, 2019

ISBN 10: 3030266958 ISBN 13: 9783030266950

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Taschenbuch. Condici�n: 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 ref. del art�culo: 9783030266950

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Counting Lattice Paths Using Fourier Methods

Charles Kicey

Publicado por Springer International Publishing, Springer International Publishing Aug 2019, 2019

ISBN 10: 3030266958 ISBN 13: 9783030266950

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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania

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Taschenbuch. Condici�n: 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 ref. del art�culo: 9783030266950

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