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Integer and Polynomial Algebra
 
Kenneth R. Davidson University of Waterloo, Waterloo, ON, Canada
Matthew Satriano University of Waterloo, Waterloo, ON, Canada
Softcover ISBN:  978-1-4704-7332-7
Product Code:  MAWRLD/31
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Sale Price: $42.25
eBook ISBN:  978-1-4704-7584-0
Product Code:  MAWRLD/31.E
List Price: $55.00
MAA Member Price: $49.50
AMS Member Price: $44.00
Sale Price: $35.75
Softcover ISBN:  978-1-4704-7332-7
eBook: ISBN:  978-1-4704-7584-0
Product Code:  MAWRLD/31.B
List Price: $120.00 $92.50
MAA Member Price: $108.00 $83.25
AMS Member Price: $96.00 $74.00
Sale Price: $78.00 $60.13
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Integer and Polynomial Algebra
Kenneth R. Davidson University of Waterloo, Waterloo, ON, Canada
Matthew Satriano University of Waterloo, Waterloo, ON, Canada
Softcover ISBN:  978-1-4704-7332-7
Product Code:  MAWRLD/31
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Sale Price: $42.25
eBook ISBN:  978-1-4704-7584-0
Product Code:  MAWRLD/31.E
List Price: $55.00
MAA Member Price: $49.50
AMS Member Price: $44.00
Sale Price: $35.75
Softcover ISBN:  978-1-4704-7332-7
eBook ISBN:  978-1-4704-7584-0
Product Code:  MAWRLD/31.B
List Price: $120.00 $92.50
MAA Member Price: $108.00 $83.25
AMS Member Price: $96.00 $74.00
Sale Price: $78.00 $60.13
  • Book Details
     
     
    Mathematical World
    Volume: 312023; 185 pp
    MSC: Primary 11; 12; 13

    This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number fields, the RSA encryption scheme, and finite fields.

    In addition to introducing students to the rigorous foundations of mathematical proofs, the authors cover several specialized topics, giving proofs of the Fundamental Theorem of Algebra, the transcendentality of \(e\), and Quadratic Reciprocity Law. The book is aimed at incoming undergraduate students with a strong passion for mathematics.

    Readership

    High school teachers and undergraduate students interested in algebra.

  • Table of Contents
     
     
    • Chapters
    • The integers
    • Modular arithmetic
    • Diophantine equations and quadratic number domains
    • Codes and factoring
    • Real and complex numbers
    • The ring of polynomials
    • Finite fields
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Accessibility – to request an alternate format of an AMS title
Volume: 312023; 185 pp
MSC: Primary 11; 12; 13

This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number fields, the RSA encryption scheme, and finite fields.

In addition to introducing students to the rigorous foundations of mathematical proofs, the authors cover several specialized topics, giving proofs of the Fundamental Theorem of Algebra, the transcendentality of \(e\), and Quadratic Reciprocity Law. The book is aimed at incoming undergraduate students with a strong passion for mathematics.

Readership

High school teachers and undergraduate students interested in algebra.

  • Chapters
  • The integers
  • Modular arithmetic
  • Diophantine equations and quadratic number domains
  • Codes and factoring
  • Real and complex numbers
  • The ring of polynomials
  • Finite fields
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
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