Fourier Analysis on Polytopes and the Geometry of Numbers: Part I: a Friendly Introduction: 107 (Student Mathematical Library) - Softcover

Sinai Robins (author)

Softcover

ISBN 10: 1470470330 ISBN 13: 9781470470333

Publisher: American Mathematical Society, 2024

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.

About this title

About the Author

Sinai Robins, University of Sao Paulo, Brazil.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2024
• Language: English
• ISBN 10: 1470470330
• ISBN 13: 9781470470333
• Binding: Paperback
• Number of pages: 349