{"product_id":"number-theory-revealed-a-masterclass-9781470463700","title":"Number Theory Revealed  A Masterclass","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eI strongly recommend the reading of \u003cem\u003eNumber Theory Revealed\u003c\/em\u003e (the 'Masterclass' in particular) not only to all mathematicians but also to anybody scientifically inclined and curious about what mathematics is and how it is done. Not only are the topics well chosen and well presented, but this book is a real page-turner. How often can you say that about a mathematical textbook? Chapeau!\"\" —Marco Abate, \u003cem\u003eThe Mathematical Intelligencer\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"\"Andrew Granville has written many wonderful expository articles about number theory (especially patterns in primes), as well as dozens of research articles on many aspects of this field. It is, thus, highly appropriate that he turn all this knowledge into a series of textbooks for number theory. So if you are looking for enrichment in how the world of number theory connects together but formatted as a textbook with familiar topical arrangement, this is a great resource; I can't wait for the next two volumes to appear.\"\" —Karl-Dieter Crisman, \u003cem\u003eMAA Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePreliminary chapter on induction\u003c\/li\u003e\n\u003cli\u003eThe Eulidean algorithm\u003c\/li\u003e\n\u003cli\u003eCongruences\u003c\/li\u003e\n\u003cli\u003eThe basic algebra of number theory\u003c\/li\u003e\n\u003cli\u003eMultiplicative functions\u003c\/li\u003e\n\u003cli\u003eThe distribution of prime numbers\u003c\/li\u003e\n\u003cli\u003eDiophantine problems\u003c\/li\u003e\n\u003cli\u003ePower residues\u003c\/li\u003e\n\u003cli\u003eQuadratic residues\u003c\/li\u003e\n\u003cli\u003eQuadratic equations\u003c\/li\u003e\n\u003cli\u003eSquare roots and factoring\u003c\/li\u003e\n\u003cli\u003eRational approximations to real numbers\u003c\/li\u003e\n\u003cli\u003eBinary quadratic forms\u003c\/li\u003e\n\u003cli\u003eThe anatomy of integers\u003c\/li\u003e\n\u003cli\u003eCounting integral and rational points on curves, modulo $p$\u003c\/li\u003e\n\u003cli\u003eCombinatorial number theory\u003c\/li\u003e\n\u003cli\u003eThe $p$-adic numbers\u003c\/li\u003e\n\u003cli\u003eRational points on elliptic curve\u003c\/li\u003e\n\u003cli\u003eHints for exercises\u003c\/li\u003e\n\u003cli\u003eRecommended further reading\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50046719492439,"sku":"9781470463700","price":78.3,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/number-theory-revealed-a-masterclass-9781470463700","provider":"Book Curl","version":"1.0","type":"link"}