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Famous Functions in Number Theory
 
Bowen Kerins Education Development Center, Inc., Waltham, MA
Darryl Yong Harvey Mudd College, Claremont, CA
Al Cuoco Education Development Center, Inc., Waltham, MA
Glenn Stevens Boston University, Boston, MA
A co-publication of the AMS and IAS/Park City Mathematics Institute
Front Cover for Famous Functions in Number Theory
Available Formats:
Softcover ISBN: 978-1-4704-2195-3
Product Code: SSTP/3
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $24.80
Electronic ISBN: 978-1-4704-2642-2
Product Code: SSTP/3.E
List Price: $29.00
MAA Member Price: $26.10
AMS Member Price: $23.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $46.50
MAA Member Price: $41.85
AMS Member Price: $37.20
Front Cover for Famous Functions in Number Theory
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  • Front Cover for Famous Functions in Number Theory
  • Back Cover for Famous Functions in Number Theory
Famous Functions in Number Theory
Bowen Kerins Education Development Center, Inc., Waltham, MA
Darryl Yong Harvey Mudd College, Claremont, CA
Al Cuoco Education Development Center, Inc., Waltham, MA
Glenn Stevens Boston University, Boston, MA
A co-publication of the AMS and IAS/Park City Mathematics Institute
Available Formats:
Softcover ISBN:  978-1-4704-2195-3
Product Code:  SSTP/3
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $24.80
Electronic ISBN:  978-1-4704-2642-2
Product Code:  SSTP/3.E
List Price: $29.00
MAA Member Price: $26.10
AMS Member Price: $23.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $46.50
MAA Member Price: $41.85
AMS Member Price: $37.20
  • Book Details
     
     
    IAS/PCMI--The Teacher Program Series
    Volume: 32015; 203 pp
    MSC: Primary 00;

    Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute.

    But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves.

    Famous Functions in Number Theory introduces readers to the use of formal algebra in number theory. Through numerical experiments, participants learn how to use polynomial algebra as a bookkeeping mechanism that allows them to count divisors, build multiplicative functions, and compile multiplicative functions in a certain way that produces new ones. One capstone of the investigations is a beautiful result attributed to Fermat that determines the number of ways a positive integer can be written as a sum of two perfect squares.

    Famous Functions in Number Theory is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest.

    Readership

    In-service secondary school teachers; students training to become secondary school teachers.

  • Table of Contents
     
     
    • Cover
    • Title page
    • Copyright page
    • Contents
    • Preface
    • Problem sets
    • Facilitator notes
    • Teaching notes
    • Mathematical overview
    • Solutions
    • Other titles in this series
    • Back Cover
  • Additional Material
     
     
  • Request Review Copy
Volume: 32015; 203 pp
MSC: Primary 00;

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute.

But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves.

Famous Functions in Number Theory introduces readers to the use of formal algebra in number theory. Through numerical experiments, participants learn how to use polynomial algebra as a bookkeeping mechanism that allows them to count divisors, build multiplicative functions, and compile multiplicative functions in a certain way that produces new ones. One capstone of the investigations is a beautiful result attributed to Fermat that determines the number of ways a positive integer can be written as a sum of two perfect squares.

Famous Functions in Number Theory is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest.

Readership

In-service secondary school teachers; students training to become secondary school teachers.

  • Cover
  • Title page
  • Copyright page
  • Contents
  • Preface
  • Problem sets
  • Facilitator notes
  • Teaching notes
  • Mathematical overview
  • Solutions
  • Other titles in this series
  • Back Cover
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