

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 |


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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Book DetailsMathematical WorldVolume: 31; 2023; 185 ppMSC: 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.
ReadershipHigh school teachers and undergraduate students interested in algebra.
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Table of Contents
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Chapters
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The integers
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Modular arithmetic
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Diophantine equations and quadratic number domains
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Codes and factoring
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Real and complex numbers
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The ring of polynomials
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Finite fields
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Additional Material
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a courseAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
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