{"product_id":"counting-lattice-paths-using-fourier-methods-von-shaun-ault-charles-kicey","title":"Counting Lattice Paths Using Fourier Methods","description":"\n                                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.\n                \n                \u003cbr\u003e\n                                \n                \u003ci\u003eCounting Lattice Paths Using Fourier Methods\u003c\/i\u003e\n                                 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            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030266950\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783030266950","offer_id":39423551963229,"sku":"9783030266950","price":74.89,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/21ee7a08-030b-4ce7-8643-8c44f37ca782.jpg?v=1771996490","url":"https:\/\/shop.autorenwelt.de\/en\/products\/counting-lattice-paths-using-fourier-methods-von-shaun-ault-charles-kicey","provider":"Autorenwelt Shop","version":"1.0","type":"link"}