Summing It Up
Subtitle: From One Plus One to Modern Number Theory
Publisher: Princeton University Press
Published: Jan 30, 2018
Language: eng
Format: paperback
Number of pages: 248
ISBN-13: 9780691178516
Notes: Source title: Summing It Up: From One Plus One to Modern Number Theory
Table of contents: title: Preface
pagenum: xi; title: Acknowledgments
pagenum: xv; title: Introduction: What This Book Is About
pagenum: 1; label: Part One
title: Finite Sums
pagenum: 11; label: 1
title: Proem
pagenum: 11; label: 2
title: Sum of Two Squares
pagenum: 22; label: 3
title: Sums of Three and Four Squares
pagenum: 32; label: 4
title: Sums of Higher Powers: Waring's Problem
pagenum: 37; label: 5
title: Simple Sums
pagenum: 42; label: 6
title: Sums of Powers, Using Lots of Algebra
pagenum: 50; label: Part Two
title: Infinite Sums
pagenum: 73; label: 7
title: Infinite Series
pagenum: 73; label: 8
title: Cast of Characters
pagenum: 96; label: 9
title: Zeta and Bernoulli
pagenum: 103; label: 10
title: Count the Ways
pagenum: 110; label: Part Three
title: Modular Forms and Their Applications
pagenum: 127; label: 11
title: The Upper Half-Plane
pagenum: 127; label: 12
title: Modular Forms
pagenum: 147; label: 13
title: How Many Modular Forms Are There?
pagenum: 160; label: 14
title: Congruence Groups
pagenum: 179; label: 15
title: Partitions and Sums of Squares Revisited
pagenum: 186; label: 16
title: More Theory of Modular Forms
pagenum: 201; label: 17
title: More Things to Do with Modular Forms: Applications
pagenum: 213; title: Bibliography
pagenum: 225; title: Index
pagenum: 227