Originally published in 2013, reissued as part of Pearson's modern classic series.
This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972.
Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topi
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.
No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.
This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers.
Solutions of equations in integers is the central problem of number theory and is the focus of this book.
The text is designed to be used either in an upper division undergraduate classroom, or for self study.
This book emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts in which they originated, and providing an accessible introduction to one of the most fascinating subjects in ...
Here , the probability is taken over the random choice of a and B , as well as the random choices made during the execution of A. Show how to use A ... The paper by Miller defined the set In , but did not give a probabilistic analysis .