{"product_id":"counting-lattice-paths-using-fourier-methods-9783030266967","title":"Counting Lattice Paths Using Fourier Methods","description":"\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915084067095,"sku":null,"price":8097.3,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030266967.jpg?v=1781526172","url":"https:\/\/payment.letskitaboo.com\/te\/products\/counting-lattice-paths-using-fourier-methods-9783030266967","provider":"Kitaboo One eStore","version":"1.0","type":"link"}