Friendly Introduction to Number Theory, A (Classic Version), 4th edition
$16.99per month
Minimum 4-month term, pay monthly or pay $67.96 upfront
Includes:
- Instant access to eTextbook
- Search, highlights, notes, and more
- Expert video lessons and practice questions
- Videos, study help in multiple subjects. List in FAQs.
- Practice problems and study guides
- Q&A with experts and AI tutor
$10.99per month
Minimum 4-month term, pay monthly or pay $43.96 upfront
Includes:
- Instant access to eTextbook
- Search, highlights, notes, and more
$16.99per month
Minimum 4-month term, pay monthly or pay $67.96 upfront
Includes:
- Instant access to eTextbook
- Search, highlights, notes, and more
- Expert video lessons and practice questions
- Videos, study help in multiple subjects. List in FAQs.
- Practice problems and study guides
- Q&A with experts and AI tutor
$10.99per month
Minimum 4-month term, pay monthly or pay $43.96 upfront
Includes:
- Instant access to eTextbook
- Search, highlights, notes, and more
$10.99per month
Minimum 4-month term, pay monthly or pay $43.96 upfront
Includes:
- Instant access to eTextbook
- Search, highlights, notes, and more
$10.99per month
Minimum 4-month term, pay monthly or pay $43.96 upfront
Includes:
- Instant access to eTextbook
- Search, highlights, notes, and more
Access to this eTextbook title
Learn more, spend less
-
Find it fast
Quickly navigate your eTextbook with search
-
Stay organized
Access all your eTextbooks in one place
-
Easily continue access
Keep learning with auto-renew
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
ISBN-13: 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 kth 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 X4 + Y4 = Z4
- 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 Topsy-Turvey 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.
A Study & Exam Prep subscription includes video lessons, practice problems and other study tools. Get unlimited access to the full range of subjects:
Yes, the Study & Exam Prep Pack's feature is Channels, which can be purchased separately at any time. Simply go to Channels on the Pearson+ site and choose monthly, quarterly, or annual access, separate from your eTextbook subscription. Still deciding? Watch the first six videos free and buy it if you love it (we know you'll love it!).
Currently, they are the exact same offering. 'Study & Exam Prep Pack' is what we call 'Channels' when it is bundled with an eTextbook or bundled with MyLab & Mastering courseware. When purchased on its own, you will see it called Channels, still the same study & exam prep help you need.