{"product_id":"prime-numbers-paperback","title":"Prime Numbers - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eHumbert Cole\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003cbr\u003eThis book presents prime numbers in a beginner-friendly way, offering detailed proofs, definitions, examples, and exercises on key theorems and concepts. Each chapter includes exercises designed to reinforce and practice the concepts of prime numbers. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThe book introduces prime and composite numbers, covering primality tests and the Sieve of Eratosthenes. It formalizes prime factorization as tuples and presents a straightforward method for finding the prime factorization of integers. The book also explains how to determine the GCD and LCM of a set of numbers using their prime factorizations. \u003cp\u003e\u003c\/p\u003eThrough detailed examples, we illustrate the Sieve of Eratosthenes for identifying prime numbers. We establish the infinitude of primes with several proofs, including Euclid's famous argument. \u003cp\u003e\u003c\/p\u003eThe book discusses Mersenne and Fermat primes, along with significant conjectures such as the twin prime conjecture, Goldbach's conjecture, and the Mersenne prime conjecture. We also cover primes in arithmetic progression and applications of Dirichlet's theorem. \u003cp\u003e\u003c\/p\u003eFinally, we explore the distribution of primes using Bertrand's postulate, the prime-counting function, and the prime number theorem. \u003cp\u003e\u003c\/p\u003eHere are some of the topics you will learn: \u003col\u003e\n\u003cli\u003eprime and composite numbers\u003c\/li\u003e\n\u003cli\u003eprimality test\u003c\/li\u003e\n\u003cli\u003esieve of Eratosthenes\u003c\/li\u003e\n\u003cli\u003eprime factorization\u003c\/li\u003e\n\u003cli\u003einfinitude of primes\u003c\/li\u003e\n\u003cli\u003eMersenne primes\u003c\/li\u003e\n\u003cli\u003eFermat primes\u003c\/li\u003e\n\u003cli\u003eGoldbach conjecture\u003c\/li\u003e\n\u003cli\u003etwin prime conjecture\u003c\/li\u003e\n\u003cli\u003eprime number theorem\u003c\/li\u003e\n\u003cli\u003eBertrand's postulate (Chebyshev's theorem)\u003c\/li\u003e\n\u003c\/ol\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 98\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.2 x 10 x 7 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 27, 2024\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":53387488231731,"sku":"9798344550527","price":28.58,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/IHpG7siD5H9798344550527.webp?v=1779440188","url":"https:\/\/www.vysn.com\/products\/prime-numbers-paperback","provider":"VYSN","version":"1.0","type":"link"}