عنوان

Counting lattice paths using Fourier methods

شابک

9783030266967

شماره

E458

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

عنوان اصلي

Counting lattice paths using Fourier methods

نام عام مواد

[Electronic book]

نام نخستين پديدآور

/ Shaun Ault, Charles Kicey.

محل نشرو پخش و غیره

Cham, Switzerland

نام ناشر، پخش کننده و غيره

: Springer/Birkhauser

تاریخ نشرو بخش و غیره

, 2019.

نام خاص و کميت اثر

xii, 136 p.

عنوان فروست

(Applied and numerical harmonic analysis)

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

موضوع مستند نشده

Lattice paths.

موضوع مستند نشده

Fourier transformations.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Ault, Shaun V., 1979-

مستند نام اشخاص تاييد نشده

Kicey, Charles.

کشور

ایران

سازمان

University of Tehran. Library of College of Science

تاريخ و ساعت مذاکره و دسترسي

UT_SCI_BL_DB_1002541_0001.pdf

فرمت انتشار

e

نوع ماده

BL

کد کاربرگه

278840

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y