Softcover ISBN:  9781470472566 
Product Code:  STML/102 
List Price:  $59.00 
Individual Price:  $47.20 
eBook ISBN:  9781470473297 
Product Code:  STML/102.E 
List Price:  $59.00 
Individual Price:  $47.20 
Softcover ISBN:  9781470472566 
eBook: ISBN:  9781470473297 
Product Code:  STML/102.B 
List Price:  $118.00 $88.50 
Softcover ISBN:  9781470472566 
Product Code:  STML/102 
List Price:  $59.00 
Individual Price:  $47.20 
eBook ISBN:  9781470473297 
Product Code:  STML/102.E 
List Price:  $59.00 
Individual Price:  $47.20 
Softcover ISBN:  9781470472566 
eBook ISBN:  9781470473297 
Product Code:  STML/102.B 
List Price:  $118.00 $88.50 

Book DetailsStudent Mathematical LibraryVolume: 102; 2023; 286 ppMSC: Primary 00; 11
One of the great charms of mathematics is uncovering unexpected connections. In Numbers and Figures, Giancarlo Travaglini provides six conversations that do exactly that by talking about several topics in elementary number theory and some of their connections to geometry, calculus, and reallife problems such as COVID19 vaccines or fiscal frauds. Each conversation is in two parts—an introductory essay which provides a gentle introduction to the topic and a second section that delves deeper and requires study by the reader. The topics themselves are extremely appealing and include, for example, Pick's theorem, Simpson's paradox, Farey sequences, the Frobenius problem, and Benford's Law.
Numbers and Figures will be a useful resource for college faculty teaching Elementary Number Theory or Calculus. The chapters are largely independent and could make for nice courseending projects or even leadins to high school or undergraduate research projects. The whole book would make for an enjoyable semesterlong independent reading course. Faculty will find it entertaining bedtime reading and, last but not least, readers more generally will be interested in this book if they miss the accuracy and imagination found in their high school and college math courses.
ReadershipUndergraduate students interested in number theory and discrete mathematics.

Table of Contents

Chapters

Integer points, polygons, and polyhedra

Simpson’s paradox, Farey sequences, and Diophantine approximation

A coin problem and generating functions

Pythagorean triples and sums of squares

Benford’s law, uniform distribution and normal numbers

Sums and integrals


Additional Material

RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Requests
One of the great charms of mathematics is uncovering unexpected connections. In Numbers and Figures, Giancarlo Travaglini provides six conversations that do exactly that by talking about several topics in elementary number theory and some of their connections to geometry, calculus, and reallife problems such as COVID19 vaccines or fiscal frauds. Each conversation is in two parts—an introductory essay which provides a gentle introduction to the topic and a second section that delves deeper and requires study by the reader. The topics themselves are extremely appealing and include, for example, Pick's theorem, Simpson's paradox, Farey sequences, the Frobenius problem, and Benford's Law.
Numbers and Figures will be a useful resource for college faculty teaching Elementary Number Theory or Calculus. The chapters are largely independent and could make for nice courseending projects or even leadins to high school or undergraduate research projects. The whole book would make for an enjoyable semesterlong independent reading course. Faculty will find it entertaining bedtime reading and, last but not least, readers more generally will be interested in this book if they miss the accuracy and imagination found in their high school and college math courses.
Undergraduate students interested in number theory and discrete mathematics.

Chapters

Integer points, polygons, and polyhedra

Simpson’s paradox, Farey sequences, and Diophantine approximation

A coin problem and generating functions

Pythagorean triples and sums of squares

Benford’s law, uniform distribution and normal numbers

Sums and integrals