Friendly Introduction to Number Theory, A (Classic Version), 4th edition
Your access includes:
 Search, highlight, and take notes
 Easily create flashcards
 Use the app for access anywhere
 14day refund guarantee
$10.99per month
4month term, pay monthly or pay $43.96
Learn more, spend less

Special partners and offers
Enjoy perks from special partners and offers for students

Find it fast
Quickly navigate your eTextbook with search

Stay organized
Access all your eTextbooks in one place

Easily continue access
Keep learning with autorenew
Overview
A Friendly Introduction to Number Theory, 4th Edition introduces you to the overall themes and methodology of mathematics through the detailed study of one particular facet: number theory. Starting with nothing more than basic high school algebra, you are gradually led to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. The writing is appropriate for undergraduates and includes many numerical examples, which are analyzed for patterns and used to make conjectures. Emphasis is on the methods used for proving theorems rather than on specific results.
This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price.
Published by Pearson (May 24th 2023)  Copyright © 2023
ISBN13: 9780137981175
Subject: Advanced Math
Category: Number Theory
Overview
Preface
Flowchart of Chapter Dependencies
Introduction
 What Is Number Theory?
 Pythagorean Triples
 Pythagorean Triples and the Unit Circle
 Sums of Higher Powers and Fermat's Last Theorem
 Divisibility and the Greatest Common Divisor
 Linear Equations and the Greatest Common Divisor
 Factorization and the Fundamental Theorem of Arithmetic
 Congruences
 Congruences, Powers, and Fermat's Little Theorem
 Congruences, Powers, and Euler's Formula
 Euler's Phi Function and the Chinese Remainder Theorem
 Prime Numbers
 Counting Primes
 Mersenne Primes
 Mersenne Primes and Perfect Numbers
 Powers Modulo m and Successive Squaring
 Computing k^{th} Roots Modulo m
 Powers, Roots, and “Unbreakable” Codes
 Primality Testing and Carmichael Numbers
 Squares Modulo p
 Is 1 a Square Modulo p? Is 2?
 Quadratic Reciprocity
 Proof of Quadratic Reciprocity
 Which Primes Are Sums of Two Squares?
 Which Numbers Are Sums of Two Squares?
 As Easy as One, Two, Three
 Euler's Phi Function and Sums of Divisors
 Powers Modulo p and Primitive Roots
 Primitive Roots and Indices
 The Equation X^{4} + Y^{4} = Z^{4}
 Square  Triangular Numbers Revisited
 Pell's Equation
 Diophantine Approximation
 Diophantine Approximation and Pell's Equation
 Number Theory and Imaginary Numbers
 The Gaussian Integers and Unique Factorization
 Irrational Numbers and Transcendental Numbers
 Binomial Coefficients and Pascal's Triangle
 Fibonacci's Rabbits and Linear Recurrence Sequences
 Oh, What a Beautiful Function
 Cubic Curves and Elliptic Curves
 Elliptic Curves with Few Rational Points
 Points on Elliptic Curves Modulo p
 Torsion Collections Modulo p and Bad Primes
 Defect Bounds and Modularity Patterns
 Elliptic Curves and Fermat's Last Theorem
 The TopsyTurvey World of Continued Fractions [online]
 Continued Fractions, Square Roots, and Pell's Equation [online]
 Generating Functions [online]
 Sums of Powers [online]
Further Reading
Index
A. Factorization of Small Composite Integers [online]
B. A List of Primes [online]
Your questions answered
When you purchase an eTextbook subscription, it will last 4 months. You can renew your subscription by selecting Extend subscription on the Manage subscription page in My account before your initial term ends.
If you extend your subscription, we'll automatically charge you every month. If you made a one‑time payment for your initial 4‑month term, you'll now pay monthly. To make sure your learning is uninterrupted, please check your card details.
To avoid the next payment charge, select Cancel subscription on the Manage subscription page in My account before the renewal date. You can subscribe again in the future by purchasing another eTextbook subscription.
When you purchase a Channels subscription it will last 1 month, 3 months or 12 months, depending on the plan you chose. Your subscription will automatically renew at the end of your term unless you cancel it.
We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details.