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

Robins, Sinai

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

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Sinai Robins, University of Sao Paulo, Brazil.

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Verlag
American Mathematical Society
Erscheinungsdatum
2024
Sprache
Englisch
ISBN 10 
1470470330
ISBN 13 
9781470470333
Einband
Taschenbuch
Anzahl der Seiten
349
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
preigu
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