This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subjects evolution from antiquity to recent research. This is especially unfortunate, because the elementary theory of numbers. Now in its fourth edition dated 1998, its a fairly popular textbook for courses like ours. This is an excellent textbook for an introductory course in number theory. I see by looking at the profile of the questioner that he is graduating from high school this year. Number theory has a long and distinguished history and the concepts and problems relating to the subject have been instrumental in the foundation of much of mathematics. The module is not based on an particular book, but the following books may be useful. This book is an excellent introduction to elementary number theory. Written for the onesemester undergraduate number theory c. Thomas koshy elementary number theory with applications, 2 nd edition, academic press. Elementary number theory, sixth edition, is written for the onesemester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. An elementary number theory book should use elementary definitions and concepts abstract algebra is meant for algebraic number theory books. These are an integral part of the book and require the readers active participation, for. Students solutions manual to accompany elementary number theory by burton, david and a great selection of related books, art and collectibles available now at.
Burton table of contents preface new to this edition 1preliminaries 1. Review of divisibility, prime numbers and congruences. Elementary number theory, 7th edition, pdf is written for the 1semester undergraduate number theory course taken by mathematics majors, secondary education majors, and computer science students. Elementary number theory a revision by jim hefferon, st michaels college, 2003dec. I have used it a number of times for my own courses and i believe it is the most popular book for elementary number theory courses in the united states. Contents preface vii section1integers 1 2uniquefactorization 10 3lineardiophantineequations 20 4congruences 27 5linearcongruences 34 6fermatsandwilsonstheorems 42 7thedivisorsofaninteger 49. In this book, professor baker describes the rudiments of number theory in a concise, simple and direct manner. Furthermore, this book serves as an excellent reference when i want to look up proofs of facts in elementary number theory this was the textbook for my elementary number theory. For a typical undergraduate with not much exposure to mathematics be. Elementary number theory, sixth edition, is written for the onesemester undergraduate number theory course taken by math majors, secondary education majors, and. Not many problems have answer in the back, which is not good thing for selfstudying. The problems are very challenging, but illuminate the material deeply. Elementary number theory and its applications by rosen. Mary jones elementary number theory, springer undergraduate mathematics series.
A question in alternative proof of euler criterion from david burton s book. Introduction to number theory by hua loo keng, published by springer in 1982. These are an integral part of the book and require the readers active. So avoid his other book, which is good, but not as easy to read as this one. Elementary number theory a series of books in mathematics underwood dudley. I have question only in page 173 2 nd paragraph ie in the case when a is quadratic residue of p. Elementary number theory 9780073051888 by burton,david and a great selection of similar new, used and collectible books available now at great prices. Euclidean algorithm, sieve of eratosthenes, chinese remainder theorem, fermats and. This is the book to consult if you want to see how the ancients did number theory. What are some good books in number theory for a beginner. The integers q and r are called, respectively, the quotient and remainder in t. The integers q and r are called, respectively, the quotient and remainder in the.
What are some good books in number theory for a beginner to. May 16, 2010 elementary number theory, 7e, by david m. Elementary number theory has 14 available editions to buy at half price books marketplace. Free stepbystep solutions to elementary number theory 9780073383149. Elementary number theory study at kings kings college. A good undergradlevel textbook is steins elementary number theory, but there are many options with the same title that are excellent as well by rosen, dudley, kraft and others. Most of the basic problems are discussed in this book using high school mathematics. This text provides a simple account of classical number theory, as well as some of the historical background in which the subject evolved.
Cloury, jones and bartlett an introduction to the theory of numbers by h. I understand the very basics of congruence and modular arithmetic, but if someone could give not only a formal, but intuitive and helpful explanation. Elementary theory of numbers dover books on mathematics. Elementary number theory 2010 edition open library. Elementary number theory a revision by jim hefferon, st michaels college, 2003dec of notes by w.
One of the unique characteristics of these notes is the careful choice of topics and its importance in the theory of numbers. It is intended for use in a onesemester, undergraduate number theory course taken primarily by mathematics majors and students preparing to be secondary school teachers. Burton, elementary number theory, mcgrawhill education, 5th ed. The background of the student helps me answer this question more meaningfully. Elementary number theory book by david m burton 14. Burton, mcgrawhill the theory of numbers a text and source book of problems by andrew adler and john e. Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Elementary number theory and its applications by rosen, kenneth h. Thanks for the a2a the majority of students who take courses in number theory are mathematics majors who will not become number theorists. My number theory book has hopelessly lost me on the topic of residue classes. Kenneth rosen elementary number theory and its applications, 5 th edition, mcgraw hill. This book is very easy to read and concepts are introdced very clearly. Author underwood dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. Residue classes, linear congruences in one variable, euclids.
The freedom is given in the last two chapters because of the advanced nature of the topics that are presented. Elementary number theory hardcover published september 27th 2005 by mcgrawhill scienceengineeringmath. Contents preface vii section1integers 1 2uniquefactorization 10 3lineardiophantineequations 20 4congruences 27 5linearcongruences 34 6fermatsandwilsonstheorems 42 7thedivisorsofaninteger 49 8perfectnumbers 56 9eulerstheoremandfunction 63 10primitiverootsandindices 72 11quadraticcongruences 82 12quadraticreciprocity 92 numbersinotherbases 101 14duodecimals. Elementary number theory department of mathematics. Elementary number theory international series in pure and applied mathematics. Furthermore, this book serves as an excellent reference when i want to look up proofs of facts in elementary number theory this was the textbook for my elementary number theory class. Things come in small chunks which are easily digested. Feb 16, 2010 elementary number theory, 7e, by david m. There are copies in the math library and in moffitt. Also i need to understand why they matter, or i will likely have difficulty grasping the concept.
This contemporary textbook provides a simple account of classical number theory, set against a historical background that shows the subjects evolution from antiquity to recent research. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subjects evolution from. Check out the new look and enjoy easier access to your favorite features. The book covers main topics of elementary number theory. By introducing several new concepts in the concrete setting of rational integers, this module is a good preparation for more demanding modules in number theory and algebra. This contemporary textbook provides a simple account of classical number theory, set against a historical background that shows the subjects. Many of them will, however, teach mathematics at the high school or junior college level, and this book is i. Solutions to elementary number theory 9780073383149. Elementary number theory 7th edition solutions manual. The following question is from textbook david m burton elementary number theory on page 185. Elementary number theory, 7th edition by david burton 9780073383149. Burton, 2010, mcgrawhill, higher education edition, in english 7th ed. The book is very short 120 text pages but not at cost of clarity.
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