Fourier analysis on polytopes and the geometry of numbers. Part I, A friendly introduction / Sinai Robins.

Format:

Book

Author/Creator:

Robins, Sinai, author.

Series:

Student mathematical library ; v. 107.

Student mathematical library ; volume 107

Language:

English

Subjects (All):

Fourier analysis.

Polytopes.

Geometry of numbers.

Physical Description:

xxiii, 325 pages : illustrations (some color) ; 22 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2024]-

Summary:

This book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserves all of the information of a polytope, and turns its geometry into analysis. The approach is unique, and streamlines this emerging field by presenting new simple proofs of some basic results of the field. In addition, each chapter is tted with many exercises, some of which have solutions and hints in an appendix. Thus, an individual learner will have an easier time absorbing the material on their own, or as part of a class. Overall, this book provides an introduction appropriate for an advanced undergraduate, a beginning graduate student, or researcher interested in exploring this important expanding field.

Contents:

Part I. A friendly introduction

Notes:

Includes bibliographical references and index.

ISBN:

9781470470333

1470470330

OCLC:

1414167283