An Introduction to the Theory of Numbers 6th Edition by G. H. Hardy (PDF)

Description

An Introduction to the Theory of Numbers by G. H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D. R. Heath-Brown, this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today’s students through the key milestones and developments in number theory.Updates include a chapter by J. H. Silverman on one of the most important developments in number theory – modular elliptic curves and their role in the proof of Fermat’s Last Theorem — a foreword by A. Wiles, and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions for further reading are also included for the more avid reader.The text retains the style and clarity of previous editions making it highly suitable for undergraduates in mathematics from the first year upwards as well as an essential reference for all number theorists.

User’s Reviews

Editorial Reviews: Review `Review from previous edition Mathematicians of all kinds will find the book pleasant and stimulating reading, and even experts on the theory of numbers will find that the authors have something new to say on many of the topics they have selected… Each chapter is a model of clear exposition, and the notes at the ends of the chapters, with the references and suggestions for further reading, are invaluable.’ Nature`This fascinating book… gives a full, vivid and exciting account of its subject, as far as this can be done without using too much advanced theory.’ Mathematical Gazette`…an important reference work… which is certain to continue its long and successful life…’ Mathematical Reviews`…remains invaluable as a first course on the subject, and as a source of food for thought for anyone wishing to strike out on his own.’ Matyc Journal About the Author Roger Heath-Brown F.R.S. was born in 1952, and is currently Professor of Pure Mathematics at Oxford University. He works in analytic number theory, and in particular on its applications to prime numbers and to Diophantine equations.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Its fantastic. I highly recommend this book towards any pure math enthusiasts and applied ones who find it convenient in their time to read. It highlights some of the topics for students who are interested into doing research at an undergraduate level. Although strongly advise, I would recommend to attend an intro to number theory class, or try to do it yourself kind of learner before picking up this book. This book is filled with tons of pure number theory related topics while a few applied ones are embedded for those who are interested into using number theory in the real world. It may be boring at first, since there are not any exercises to do, like you normally find most in an introduction to number theory. Try to learn and understand number theory at a comfortable level so that you can understand some of the least to most advance level topics found in this book. Try it and you will see it for yourselves!

⭐I am an undergrad student in computer engineering. I bought this book after I looked at the table of contents and found some topics which I interested in. This is by far the best book on number theory I ever came across. It is very readable, fairly free of errors (the ones that are there are easy to spot and do not cause confusion). In comparison to another number theory book I read before. This one has the charm of making previously confusing concept clear. Different proofs are often given on major theorems. I do not really have a good way to describe it, but this book really “flows”. The logic is clear and easy to follow. If I read this one to start with, it would save me a lot of time and I would have a much better understanding of the subject by now. I know, this review is totally uninformative, you have to see it for yourself to be sure, but I totally recommend this one.The only downside is the price dropped by like 20$ since I bought it.

⭐A worthwhile addition to anyone’s mathematical library. Should not be used as a primary textbook for a class though! The book encompasses a vast array of number theoretical topics and is updated to include recent developments. However, the amount of typos is very unfortunate. Especially for such an old book. After the sixth edition, I would expect the typos in the text itself be essentially all corrected. However, they are there, in the worst places, causing me to scratch my head wondering “is this a typo?”. Even the errata online has typos. Which makes me wonder, do they have an errata for the errata? Nonetheless, the book is great, I just with recent authors spent more time keeping it so.

⭐Very nice book. The proofs of the theorems aren’t always obvious. It would have been better if some of them were presented more analytically. Also the book doesn’t have exercises. They could be very useful for the reader, in order to understand in depth the true point of every chapter.

⭐Great general book for nonnumbertheorist.

⭐The book arrived safely in perfect condition and right on time. Thank you for packaging it so safely! I’m so excited to read it.

⭐Did you know there are at least 200 prime numbers?

⭐I have owned the 4th edition for years. You might think that Hardy and Wright is dated and can’t possibly be relevant, but check the data. You will find it cited in all the other number theory books and it is still being cited in journal articles as well.The biggest improvements have been pointed out by other reviewers so I’ll just state them without discussion: more readable font/spacing and a much needed subject index. For the 45% reduction in price of the paperback, I couldn’t afford to pass up this edition.4.5 stars

⭐Greetings … I recently visit England as well a member of my family that when I was a teenager order and purchase the Fifth Edition you can see in the Picture. This was before I enter to study Math in UCV, Caracas to then move to Italy and again get another degree.The Hardy book … new Edition is good while I do not yet conquer … but now has an Analytical Index (Good) … but do not include in full … seems neither partially explanations which Ramanujan cover like square and triangular numbers. This invite me to a new purchase … “In the Spirit of Ramanujan” …Without to disturb you too much … there are another Mathematics … Indeed there are Infinite Mathematics while the Duodecimal or Math of Spirit … is the most important and in this “Egyptian” not new Math … all puzzles get solutions.Thanks for any person worked to produce the Sixth Edition.

⭐Another great classic, at undergraduate level, but worth dipping into time and time again. It lacks an Index but you can download one free on the internet.

⭐The small amount I understood was great.This book is destined for super-brainy mathematicians.

⭐Very very very awesome book..I have ever read….everyone should buy it once in life………..

⭐I have owned a hard-back copy of this book (4th edition) since 1964, when I was still a student. At that time there were not many books on number theory available, and as far as I remember, Hardy-Wright used to be recommended as the best book in the field. I had always regretted the absence of an index, which made it very difficult to use the book.I have been aware of more recent editions of the book, and finally decided to purchase the latest edition a few days ago. What an improvement! Even though the old style notation and terminology has been preserved, the notes have been updated to include more recent results, and a a new chapter on elliptic curves has been added. An index is now in place, but it could be more detailed.One must not forget that the book is directed to students of mathematics and practising mathematicians. Comments made about the book by other people should be read with care.

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