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Fourier Analysis on Polytopes and the Geometry of Numbers

Fourier Analysis on Polytopes and the Geometry of Numbers - Student Mathematical Library

Paperback (31 May 2024)

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Publisher's Synopsis

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 fitted 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 interesting in exploring this important expanding field.

Book information

ISBN: 9781470470333
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 516.158
DEWEY edition: 23/eng/20231213
Language: English
Number of pages: 349
Weight: 184g
Height: 216mm
Width: 140mm