Sinai Robins's Books

Fourier Analysis on Polytopes and the Geometry of Numbers

Part I: A Friendly Introduction

By: Sinai Robins

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fourier Analysis on Polytopes and the Geometry of Numbers

Part I: A Friendly Introduction

By: Sinai Robins

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 interested in exploring this important expanding field.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

352

Publisher

American Mathematical Society

Published Date

ISBN 10

1470470330

ISBN 13

9781470470333

Computing the Continuous Discretely

Integer-point Enumeration in Polyhedra

By: Matthias Beck,Sinai Robins

Write a review Read reviews Take a Quiz Solve Book Puzzle

Computing the Continuous Discretely

Integer-point Enumeration in Polyhedra

By: Matthias Beck,Sinai Robins

This textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. We encounter here a friendly invitation to the field of "counting integer points in polytopes", and its various connections to elementary finite Fourier analysis, generating functions, the Frobenius coin-exchange problem, solid angles, magic squares, Dedekind sums, computational geometry, and more. With 250 exercises and open problems, the reader feels like an active participant.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

242

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387461124

ISBN 13

9780387461120

Exploring Martha's Vineyard by Bike, Foot, and Kayak

By: Lee Sinai

Write a review Read reviews Take a Quiz Solve Book Puzzle

Exploring Martha's Vineyard by Bike, Foot, and Kayak

By: Lee Sinai

This must-have guide details the island¿s best hiking and biking trails, and includes a section of kayaking trips.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

292

Publisher

Appalachian Mountain Club

Published Date

ISBN 10

1878239902

ISBN 13

9781878239907

Book's by Sinai Robins

Fourier Analysis on Polytopes and the Geometry of Numbers

Fourier Analysis on Polytopes and the Geometry of Numbers

Computing the Continuous Discretely

Computing the Continuous Discretely

Exploring Martha's Vineyard by Bike, Foot, and Kayak

Exploring Martha's Vineyard by Bike, Foot, and Kayak

Username

Password

Username

Password

Password again

Birthday

Email