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

Robins, Sinai

 
9781470470333: Fourier Analysis on Polytopes and the Geometry of Numbers: Part I: a Friendly Introduction: 107 (Student Mathematical Library)
Tapa blanda
ISBN 10: 1470470330 ISBN 13: 9781470470333
Editorial: American Mathematical Society, 2024

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Sinai Robins, University of Sao Paulo, Brazil.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2024
Idioma
Inglés
ISBN 10 
1470470330
ISBN 13 
9781470470333
Encuadernación
Tapa blanda
Número de páginas
349
Contacto del fabricante
no disponible
Persona responsable
no disponible