Counting Lattice Paths Using Fourier Methods
Language: English
Published by Springer, 2019
Series: Book 80 of 88 - Applied and Numerical Harmonic Analysis
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 93.85
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Add to basketItem description from seller
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.…
Seller Inventory # 9783030266950
- Title
- Counting Lattice Paths Using Fourier Methods
- Author
- Shaun Ault
- Publisher
- Springer
- Publication year
- 2019
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3030266958
- ISBN 13
- 9783030266950
- Item weight
- 236 grams
- Dimensions
- 235x155x9 mm
- Series
- Book 80 of 88: Applied and Numerical Harmonic Analysis
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