E-Books →Number Theory with Computations

Free Download Number Theory with Computations
English | 2024 | ISBN: 3031638131 | 445 Pages | PDF EPUB (True) | 38 MB
The book is divided into two parts. The first part, on elementary number theory, deals with concepts such as induction, divisibility, congruences, primitive roots, cryptography, and continued fractions. The second part is devoted to analytic number theory and includes chapters on Dirichlet's theorem on primes in arithmetic progressions, the prime number theorem, smooth numbers, and the famous circle method of Hardy and Littlewood. The book contains many topics not often found in introductory textbooks, such as Aubry's theorem, the Tonelli-Shanks algorithm, factorisation methods, continued fraction representations of e, and the irrationality of 𝜁(3). Each chapter concludes with a summary and notes, as well as numerous exercises.