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Number Theory

Number Theory presents problems involving divisibility, prime numbers and the Euclidean Algorithm; solving linear Diophantine equations and congruences of various types, and using the Euler phi-function, quadratic residues, and the theory of congruences in applications.

About Number Theory

The Integers

Introducing Congruence

Polynomial Congruence

Special Theorems on Congruences

Quadratic Reciprocity Law

Number Theory Homework

Number Theory Quizzes

Number Theory Reviews

Number Theory Practice Exams

Number Theory Books

A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of N... List Price: $18.95 Buy New: $11.84 You Save: $7.11 (38%) New (29) Used (23) from $8.13The Universe May Be a Mystery,But It's No SecretMichael Schneider leads us on a spectacular, lavishly illustrated journey along the numbers one through ten to explore the mathematical principles made visible (more)

Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathem... List Price: $16.00 Buy New: $8.83 You Save: $7.17 (45%) New (38) Used (19) from $7.47In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled "On the Number of Prime Numbers Less Than a Given Quantity." (more)

Bayesian Computation with R (Use R) List Price: $49.95 Buy New: $36.00 You Save: $13.95 (28%) New (38) Used (13) from $35.00There has been a dramatic growth in the development and application of Bayesian inferential methods. Some of this growth is due to the availability of powerful simulation-based algorithms to summarize (more)

Euler's Gem: The Polyhedron Formula and the Birth of Topology List Price: $27.95 Buy New: $16.98 You Save: $10.97 (39%) New (30) Used (4) from $16.98Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so (more)

e: The Story of a Number List Price: $19.95 Buy Used: $2.95 You Save: $17.00 (85%) New (13) Used (38) Collectible (1) from $2.95The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal (more)

Not Even Wrong: The Failure of String Theory and the Search for Unity in Phys... List Price: $16.95 Buy New: $7.61 You Save: $9.34 (55%) New (36) Used (11) from $7.27When does physics depart the realm of testable hypothesis and come to resemble theology? Peter Woit argues that string theory isn't just going in the wrong direction, it's not even science. Not Even Wrong (more)

Killer Poker By the Numbers: Mathematical Edge for Winning Play List Price: $14.95 Buy New: $6.99 You Save: $7.96 (53%) New (37) Used (13) from $6.99Killer Poker By the Numbers: Mathematical Edge for Winning Play (more)

Elementary Number Theory (5th Edition) List Price: $124.00 Buy New: $94.16 You Save: $29.84 (24%) New (10) Used (18) from $60.00Elementary Number Theory and Its Applications is noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. (more)

Complex Analysis for Mathematics and Engineering List Price: $124.95 Buy New: $48.94 You Save: $76.01 (61%) New (19) Used (16) from $44.45Revised and updated, the new Fifth Edition of Complex Analysis for Mathematics and Engineering presents a comprehensive, student-friendly introduction to Complex Analysis. It's clear, concise writing (more)

Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills List Price: $29.95 Buy New: $14.99 You Save: $14.96 (50%) New (40) Used (14) from $14.99I used to think math was no fun'Cause I couldn't see how it was doneNow Euler's my heroFor I now see why zeroEquals e[pi] i+1--Paul Nahin, electrical engineer In the mid-eighteenth century, Swiss-born (more)