This well developed, accessible text details the historical development of the subject throughout It also provides wide ranging coverage of significant results with comparatively elementary proofs, some of them new This second edition contains two new chapters that provide a complete proof of the
The fifth edition of this classic reference work has been updated to give a reasonably accurate account of the present state of knowledge.
Written for the one semester undergraduate number theory course, this text provides a simple account of classical number theory, set against a historical background that shows the subject s evolution from antiquity It reveals the attraction that has drawn leading mathematicians and amateurs alike t
This undergraduate textbook describes the computational aspects of number theory, such as techniques of factoring Problems of varying difficulty are used throughout the text to aid comprehension.
This book is the first volume of a two volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory For this reason, the book starts with the most e
Prime numbers are beautiful, mysterious, and beguiling mathematical objects The mathematician Bernhard Riemann made a celebrated conjecture about primes in 1859, the so called Riemann Hypothesis, which remains to be one of the most important unsolved problems in mathematics Through the deep insigh
Solutions of equations in integers is the central problem of number theory and is the focus of this book The amount of material is suitable for a one semester course The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations There are exercises at the
Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory This introductory book emphasises algorithms and applications, such as cryptography and error
The Book of Numbers lets readers of all levels of mathematical sophistication or lack thereof understand the origins, patterns, and interrelationships of different numbers n nWhether it is a visualization of the Catalan numbers or an explanation of how the Fibonacci numbers occur in nature, there
In 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 Today, after 150 years of careful research and exhaustive study, the Riemann Hypothesis re
In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that would forever change the history of mathematics The subject was the mystery of prime numbers At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians
The fourth edition of Kenneth Rosen s widely used and successful text, Elementary Number Theory and Its Applications, preserves the strengths of the previous editions, while enhancing the book s flexibility and depth of content coverage.The blending of classical theory with modern applications is a
Aimed at courses in Elementary Number Theory, this book is for math majors, for mathematics education students, and for Computer Science students Starting from basic algebra, it takes the reader to mathematical research It includes numerical examples, analyzed for patterns and used to make conject
Number theory, the Queen of Mathematics, is an almost purely theoretical science Yet it can be the source of endlessly intriguing puzzle problems, as this remarkable book demonstrates This is the first book to deal exclusively with the recreational aspects of the subject and it is certain to be a