Number theory, known to gauss as arithmetic, studies the properties of the integers. Everyday low prices and free delivery on eligible orders. He works in analytic number theory, and in particular on its applications to prime numbers and to diophantine equations. This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A few buzzwords may help in getting the right picture about the scope of the book. Buy an introduction to the theory of numbers 6 by hardy, g.
Students are not allowed to use books, lecture notes, notebooks, smartphones, or any device with a memory. Euclid devoted part of his elements to prime numbers and divisibility, topics that belong unambiguously to number theory and are basic to it books vii to ix of. Introduction to the theory of numbers by godfrey harold hardy is more sturdy than the other book by him that i had read recently. Thus in the next definition, d, n, and k are integers. An introduction to the theory of numbers, 6th edition, by. The systematic study of number theory was initiated around 300b. In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. Analytic number theory mathematical institute universiteit leiden. This is an excellent book on the theory of numbers appropriate for a beginning graduate student who completed undergraduate introductory courses in number theory, advanced calculus, and linear algebra. Buy elements of number theory dover books on mathematics on. This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. Number theory, branch of mathematics concerned with properties of the positive. In this book, all numbers are integers, unless specified otherwise.
This book gives both a proof of the prime number theorem based on complex analysis which is similar to. In the second and third parts of the book, deep results in number theory are proved using only elementary methods. Hardy is a classical number theory text written in 1930ss though i think its revised version is available. Fundamentals of number theory dover books on mathematics. Waclaw sierpinski 250 problems in elementary number theory presents problems and their solutions in five specific areas of this branch of mathe matics. Wright also went and wrote some things for this book, he wasnt included on the spine of the book, so i forgot about him. Its highly recommended for anyone wanting to learn number theory as it is always good idea to learn directly from the master. I have read the book elementary number theory by david m. The intent of this book is to survey major interesting results and current trends in the theory of number associated with natural numbers, classes of natural. It grew out of undergraduate courses that the author taught at harvard, uc san diego, and the university of washington. Elements of number theory dover books on mathematics. He began book vii of his elements by defining a number as a multitude. One of the most valuable characteristics of this book is its stress on learning number theory by means of demonstrations and problems. Of particular interest are connections to other fields such as complex geometry, representation theory and theoretical physics.