9783030266950 - counting lattice paths using fourier methods (lecture notes in applied and numerical harmonic analysis) von ault, shaun; kicey, charles (6 Ergebnisse)
Sprache: Englisch
Verlag: Birkhäuser, 2019
Serie: Buch 80 von 88 - Applied and Numerical Harmonic Analysis
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Sprache: Englisch
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Serie: Buch 80 von 88 - Applied and Numerical Harmonic Analysis
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Taschenbuch. Zustand: 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.
Sprache: Englisch
Verlag: Birkhauser, 2019
Serie: Buch 80 von 88 - Applied and Numerical Harmonic Analysis
- Softcover
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Paperback. Zustand: Brand New. 136 pages. 9.50x6.25x0.25 inches. In Stock.
Sprache: Englisch
Verlag: Birkhäuser, 2019
Serie: Buch 80 von 88 - Applied and Numerical Harmonic Analysis
- Softcover
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Weitere BilderSprache: Englisch
Verlag: Springer, 2019
Serie: Buch 80 von 88 - Applied and Numerical Harmonic Analysis
- Softcover
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Taschenbuch. Zustand: Neu. Counting Lattice Paths Using Fourier Methods | Shaun Ault (u. a.) | Taschenbuch | Applied and Numerical Harmonic Analysis | xii | Englisch | 2019 | Springer | EAN 9783030266950 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berli…n, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Sprache: Englisch
Verlag: Springer, 2019
Serie: Buch 80 von 88 - Applied and Numerical Harmonic Analysis
- Softcover
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Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | 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.
