Number theory has a long and distinguished history and the concepts and problems relating to the subject have been instrumental in the foundation of much of mathematics. In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner. Though most of the text is classical in content, he includes many guides to further study which will stimulate the reader to delve into the great wealth of literature devoted to the subject. The book is based on Professor Baker's lectures given at the University of Cambridge and is intended for undergraduate students of mathematics.
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Editorial Reviews
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"Many books do not live up to their titles, but this is one that definitely does." Mathematical Reviews
"Includes excellent exercises. The material in this book makes up a superb introduction to number theory" American Math Monthly
"Includes excellent exercises. The material in this book makes up a superb introduction to number theory" American Math Monthly
Book Description
Based upon the renowned author's Cambridge lectures, the text simplifies the complexities of the basic elements of number theory and stimulates the reader to pursue further study.
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12 of 12 people found the following review helpful:
5.0 out of 5 stars
Fields Medalist,
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This review is from: A Concise Introduction to the Theory of Numbers (Paperback)
My copy of this book is worn out. It's hard to explain it's charm, perhaps it's the way it covers so much ground so quickly and fluidly (without leaving everything as an exercise for the reader). A particular emphasis on quadratics: residues, forms, class field - not surprising since the author himself won the Fields Medal for his work binary quadratic forms in 1970 and previously in 1966 proved a long-standing conjecture of Carl Gauss: The only imaginary quadratic fields with unique factorization are d = -1, -2, -3, -7, -11, -19, -43, -67 and -163.
5.0 out of 5 stars
apt title,
By skeezer "skeezer" (Salem, Massachusetts) - See all my reviews
This review is from: A Concise Introduction to the Theory of Numbers (Paperback)
This book packs in as many concepts as number theory books five times its length (divisibility, arithmetical functions, congruences, quadratic residues and forms and fields, and diophantine equations and approximations) and is still (surprisingly) very clear. There are even exercises to keep you busy.
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Inside This Book
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First Sentence:
The set 1, 2, 3,... of all natural numbers will be denoted by N. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quadratic irrational, partial quotients, binary quadratic forms, rational integers, infinite descent, quadratic fields, quadratic residue, algebraic integers, polynomial with integer coefficients, primitive root, integer divisible, unique factorization, quadratic reciprocity, integer solutions Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Chelsea Publ, Baker's Transcendental New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The set 1, 2, 3,... of all natural numbers will be denoted by N. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quadratic irrational, partial quotients, binary quadratic forms, rational integers, infinite descent, quadratic fields, quadratic residue, algebraic integers, polynomial with integer coefficients, primitive root, integer divisible, unique factorization, quadratic reciprocity, integer solutions Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Chelsea Publ, Baker's Transcendental New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 1
book:
9
books
cite this book:
See all 9 books citing this book
- Niedere Zahlentheorie, Parts 1 and 2 (AMS Chelsea Publishing) by Paul Bachmann on page 33
- The Hilbert Challenge by Jeremy J. Gray in Back Matter
- Primality Testing and Integer Factorization in Public-Key Cryptography (Advances in Information Security) by Song Y. Yan in Back Matter
- Mathematical Expeditions: Chronicles by the Explorers (Undergraduate Texts in Mathematics) by Reinhard Laubenbacher in Back Matter
- Fields Medallists' Lectures (World Scientific Series in 20th Century Mathematics , Vol 5) by Micheal Atiyah on page 161
- Elements of Number Theory by John Stillwell in Back Matter
See all 9 books citing this book
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