--- product_id: 5227106 title: "Elementary Number Theory (Springer Undergraduate Mathematics Series)" price: "£32.37" currency: GBP in_stock: true reviews_count: 13 url: https://www.desertcart.co.uk/products/5227106-elementary-number-theory-springer-undergraduate-mathematics-series store_origin: GB region: United Kingdom --- # Elementary Number Theory (Springer Undergraduate Mathematics Series) **Price:** £32.37 **Availability:** ✅ In Stock ## Quick Answers - **What is this?** Elementary Number Theory (Springer Undergraduate Mathematics Series) - **How much does it cost?** £32.37 with free shipping - **Is it available?** Yes, in stock and ready to ship - **Where can I buy it?** [www.desertcart.co.uk](https://www.desertcart.co.uk/products/5227106-elementary-number-theory-springer-undergraduate-mathematics-series) ## Best For - Customers looking for quality international products ## Why This Product - Free international shipping included - Worldwide delivery with tracking - 15-day hassle-free returns ## Description Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back­ ground or maturity from the reader, and which can be read and understood with no extra assistance. Our first three chapters are based almost entirely on A-level mathematics, while the next five require little else beyond some el­ ementary group theory. It is only in the last three chapters, where we treat more advanced topics, including recent developments, that we require greater mathematical background; here we use some basic ideas which students would expect to meet in the first year or so of a typical undergraduate course in math­ ematics. Throughout the book, we have attempted to explain our arguments as fully and as clearly as possible, with plenty of worked examples and with outline solutions for all the exercises. There are several good reasons for choosing number theory as a subject. It has a long and interesting history, ranging from the earliest recorded times to the present day (see Chapter 11, for instance, on Fermat's Last Theorem), and its problems have attracted many of the greatest mathematicians; consequently the study of number theory is an excellent introduction to the development and achievements of mathematics (and, indeed, some of its failures). In particular, the explicit nature of many of its problems, concerning basic properties of inte­ gers, makes number theory a particularly suitable subject in which to present modern mathematics in elementary terms. Review: very good introduction to number theory - Some reviewers have said it assumes almost no previous knowledge, but that's not entirely true. It does use an elementary approach, and assumes little knowledge of advanced mathematics from the reader, but if you are a neophyte in mathematics this is not the book, it is better to use a more elementary book to have more benefits. For the small size it has there is a lot inside it, and the writing style is pleasant, although, sometimes, important details are, in an undesirable way, left out. The fact the book has answers is indeed a very good thing, and good teachers should make their own set of exercises, so I don't think the fact that the exercises are answered at the end of the book is a drawback. Quite the contrary, it is a perfect suitable book for being self-taught and independent. All the exercises have answers, or give you directions. They are spread around the text, appearing every time a new concept is been given, or a theorem is been shown. All theorems have proofs easy to follow. Someone might find that the book should have addressed this or that, instead of the topics chosen, but this is how far any criticism of this textbook can go. In few words: buy it! Review: Good introduction at a basic level - This is a reasonably complete overview of number theory that does not require any understanding of either algebra or analysis. As such, it can be used for an introductory undergraduate level course. It would be less useful for a graduate level class in which students have a better background in abstract mathematics. The proofs are straightforward and complete. The exercises are very useful. Hints and solutions are provided if you get stuck. Students with limited background in abstract mathematics will find this book accessible. Although it is not a book on how to do proofs, working through this book can give a good and relatively painless introduction to some of the proofs that will be useful in algebra other advanced classes. Students already versed in algebra will likely find this book to be a too low a level, and should look to more advanced texts. ## Features - Used Book in Good Condition ## Technical Specifications | Specification | Value | |---------------|-------| | Best Sellers Rank | #357,223 in Books ( See Top 100 in Books ) #67 in Number Theory (Books) #612 in Mathematics (Books) | | Customer Reviews | 4.4 out of 5 stars 94 Reviews | ## Images ![Elementary Number Theory (Springer Undergraduate Mathematics Series) - Image 1](https://m.media-amazon.com/images/I/61u7zvtZYrL.jpg) ## Customer Reviews ### ⭐⭐⭐⭐⭐ very good introduction to number theory *by A***D on March 20, 2011* Some reviewers have said it assumes almost no previous knowledge, but that's not entirely true. It does use an elementary approach, and assumes little knowledge of advanced mathematics from the reader, but if you are a neophyte in mathematics this is not the book, it is better to use a more elementary book to have more benefits. For the small size it has there is a lot inside it, and the writing style is pleasant, although, sometimes, important details are, in an undesirable way, left out. The fact the book has answers is indeed a very good thing, and good teachers should make their own set of exercises, so I don't think the fact that the exercises are answered at the end of the book is a drawback. Quite the contrary, it is a perfect suitable book for being self-taught and independent. All the exercises have answers, or give you directions. They are spread around the text, appearing every time a new concept is been given, or a theorem is been shown. All theorems have proofs easy to follow. Someone might find that the book should have addressed this or that, instead of the topics chosen, but this is how far any criticism of this textbook can go. In few words: buy it! ### ⭐⭐⭐⭐⭐ Good introduction at a basic level *by L***D on October 18, 2013* This is a reasonably complete overview of number theory that does not require any understanding of either algebra or analysis. As such, it can be used for an introductory undergraduate level course. It would be less useful for a graduate level class in which students have a better background in abstract mathematics. The proofs are straightforward and complete. The exercises are very useful. Hints and solutions are provided if you get stuck. Students with limited background in abstract mathematics will find this book accessible. Although it is not a book on how to do proofs, working through this book can give a good and relatively painless introduction to some of the proofs that will be useful in algebra other advanced classes. Students already versed in algebra will likely find this book to be a too low a level, and should look to more advanced texts. ### ⭐⭐⭐⭐ An almost perfect square *by I***I on February 6, 2009* That the book's almost square is easily gathered from the photo. That it's almost perfect must be verified by reading it. And what an enjoyable verification indeed awaits those who take on the challenge! Not that reading it is a challenge - on the contrary, the Joneses take every effort to ensure your learning experience be as painless as possible. Every proof is complete, all exercises are solved. The proofs are always selected for their instructional merit, rather than for their mathematical "elegance" (read: brevity and algebraic gimmickry). As one Amazonian reviewer put it: you could read it through, lying in a bubble bath. Another Amazonian reviewer commented that "Number theory is like the cement on your driveway. Real and Complex analysis are the Porsche and Ferrari you drive home every night." I disagree. In any case, in my opinion the book's weak spots are those sections where the discussion forays into the realm of real and complex analysis, namely 9.4-6 ("Random Integers", "Evaluating Zeta(2)", "Evaluating Zeta(2k)"), 9.9 ("Complex variables"), 10.2 ("The Gaussian Integers"), a part of 10.6 ("Minkowsky's Theorem") and 11.9 ("Lame and Kummer"). "Sums of two squares" (Section 10.1) could also use improvement, but this is compensated by the excellent, independent treatment this topic receives in the "Minkowsky's Theorem" chapter. On several occasions, from the very beginning, the book assumes familiarity with single-variable polynomials (particularly the division algorithm and the x^n-y^n expansion). Be prepared. If it weren't for the forays mentioned above, the book would have been a straight fiver. But even as it stands, it's a tour-de-force of pedagogy and expository mathematical writing. One last quibble. The book doesn't have a homepage, nor is there any indication of a way to contact the authors. Textbook publishers should learn from their colleagues in the applied computer science publishing industry (such as O'Reilly, Wrox, Apress, etc.) and always make a homepage available for every book, with, at the minimum, a link to an errata page, and a forum where readers of the book can discuss it, (preferably with the involvement of the author(s)). ## Frequently Bought Together - Elementary Number Theory (Springer Undergraduate Mathematics Series) - Number Theory (Dover Books on Mathematics) - Elementary Number Theory: Second Edition (Dover Books on Mathematics) --- ## Why Shop on Desertcart? - 🛒 **Trusted by 1.3+ Million Shoppers** — Serving international shoppers since 2016 - 🌍 **Shop Globally** — Access 737+ million products across 21 categories - 💰 **No Hidden Fees** — All customs, duties, and taxes included in the price - 🔄 **15-Day Free Returns** — Hassle-free returns (30 days for PRO members) - 🔒 **Secure Payments** — Trusted payment options with buyer protection - ⭐ **TrustPilot Rated 4.5/5** — Based on 8,000+ happy customer reviews **Shop now:** [https://www.desertcart.co.uk/products/5227106-elementary-number-theory-springer-undergraduate-mathematics-series](https://www.desertcart.co.uk/products/5227106-elementary-number-theory-springer-undergraduate-mathematics-series) --- *Product available on Desertcart United Kingdom* *Store origin: GB* *Last updated: 2026-05-20*