Reviewed in the United States on September 29, 2020. This page works best with JavaScript. You will find it cited in all the other number theory books and it is still being cited in journal articles as well. The Basic Library List Committee considers this book essential for undergraduate mathematics libraries. NZM has coverage of some newer topics not covered in HW, for example Schnirelmann density, factorization methods, and public key cryptography. 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. Even a proof of infinity of number of prime, the logic is puzzling. Read An Introduction to the Theory of Numbers book reviews & author details and more at Amazon.in. The proofs of the theorems aren't always obvious. He volunteers in his spare time at MathNerds.com, a math help site that fosters inquiry learning. Reviewed in the United States on April 18, 2010. In comparison to another number theory book I read before. It would have been better if some of them were presented more analytically. 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. The discussion of orders of magnitude of arithmetical functions is very thorough, covering average, normal, minimal, and maximal orders of most common arithmetic functions (another good book for that subject, that goes into even more depth, is Gerald Tenenbaum's An Introduction to Analytic and Probabilistic Number Theory). ISBN: 978-0-19-921986-5 (Oxford University Press). After the sixth edition, I would expect the typos in the text itself be essentially all corrected. LibraryThing Review User Review - zaz360 - LibraryThing. This 6th edition is a modest update to the 1979 5th edition, which was itself a modest update to the 1960 4th edition, so we're essentially dealing with a new publication of a 50-year old book. It's worthwhile to summarize some of the more unusual items included: construction of the regular 17-gon, proof of the transcendence of π and e, the Lucas-Lehmer test for primality of Mersenne numbers, Bertrand's postulate (actually a theorem: between every number and its double is a prime), and a complete elementary proof of the Prime Number Theorem. You can still see all customer reviews for the product. I highly recommend this book towards any pure math enthusiasts and applied ones who find it convenient in their time to read. It is also significantly longer. It's also worth comparing Hardy & Wright (here abbreviated HW) against another heavyweight in the introductory number theory textbook arena: Niven, Zuckerman, and Montgomery's An Introduction to the Theory of Numbers (abbreviated here as NZM). It highlights some of the topics for students who are interested into doing research at an undergraduate level. This is by far the best book on number theory I ever came across. The most conspicuous difference is that HW has no exercises; it is that peculiar thing, an introductory textbook aimed at mathematicians. There is a completely new chapter (by Joseph Silverman) on Elliptic Curves. After viewing product detail pages, look here to find an easy way to navigate back to pages you are interested in. Your recently viewed items and featured recommendations, Select the department you want to search in, A book worthwhile to use for research at an undergraduate level, Reviewed in the United States on September 5, 2017. It's still a wonderful book, and well worth buying if you don't already have a copy. I do not really have a good way to describe it, but this book really "flows". Try it and you will see it for yourselves! Reviewed in the United States on April 9, 2018. Perfect!!! NZM also covers some older topics omitted from HW, such as quadratic forms and looking at some number theory theorems as special cases of abstract algebra theorems. To calculate the overall star rating and percentage breakdown by star, we don’t use a simple average. I am an undergrad student in computer engineering. Its fantastic. Exactly as expected. I know, this review is totally uninformative, you have to see it for yourself to be sure, but I totally recommend this one. Introduction to the Theory of Numbers by Godfrey Harold Hardy is more sturdy than the other book by him that I had read recently. Did you know there are at least 200 prime numbers? P: (800) 331-1622 An Introduction to the Theory of Numbers by G.H. 620. Allen Stenger is a math hobbyist, library propagandist, and retired computer programmer. Especially for such an old book. Read honest and unbiased product reviews from our users. However, they are there, in the worst places, causing me to scratch my head wondering "is this a typo?". I have owned the 4th edition for years. The book arrived safely in perfect condition and right on time. There's a problem loading this menu right now. Very nice book. This is a comprehensive introduction to analytic number theory published in 1963. I'm so excited to read it. The chapters on continued fractions and on algebraic numbers, two notoriously confusing subjects, are especially clear. 2008. 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. However, the amount of typos is very unfortunate. 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