{"product_id":"excursions-in-multiplicative-number-theory-9783030731717","title":"Excursions in Multiplicative Number Theory","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eThis textbook provides a unique exploration of analytic number theory, focusing on explicit and realistic numerical bounds. It offers precise proofs in simplified settings and encourages an active learning style with nearly three hundred exercises. It begins with a study of arithmetic functions and notions of arithmetical interest and leads to explorations of the convolution method, Levin–Faĭnleĭb theorem, and Mellin transform. Methodology is emphasized throughout, and the book is ideal for graduate students and upper-level undergraduate students familiar with analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques. \u003c\/blockquote\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 338 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 05 March 2023\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003eThis comprehensive textbook delves into the realm of analytic number theory, offering a unique and focused exploration of numerical bounds in arithmetic functions. Through precise proofs presented in simplified settings, the author skillfully constructs practical tools and insights that facilitate the study of the behavior of mathematical expressions. An active learning approach is fostered through nearly three hundred engaging exercises, making this resource an invaluable asset for students and instructors alike.\u003cbr\u003e\u003cbr\u003eThe book is structured to cater to readers with varying levels of expertise, beginning with a comprehensive study of arithmetic functions and concepts of arithmetical interest. From there, a series of guided \"walks\" are presented, each offering explorations along three broad themes: the convolution method, the Levin–Faĭnleĭb theorem, and the Mellin transform. By following any one of these walks, readers will gradually ascend to \"higher ground,\" where they can engage in extensions and applications, such as the Selberg formula, the Bruns sieve, and the Large Sieve Inequality.\u003cbr\u003e\u003cbr\u003eMethodology plays a central role throughout the text, with frequent opportunities for readers to explore numerically using computer algebra packages like Pari\/GP and Sage. Additionally, excurses in Multiplicative Number Theory provide valuable insights for graduate students and upper-level undergraduate students who possess a solid foundation in analytic number theory. This book also appeals to researchers in mathematics and engineering who are interested in employing experimental techniques in this dynamic and active field.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 551g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030731717\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2022\u003c\/p\u003e","brand":"Olivier Ramare","offers":[{"title":"Paperback \/ softback","offer_id":44265507881210,"sku":"9783030731717","price":41.64,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/noImage_1_16c647cf-aa58-473e-93e8-eb0721ac8932.jpg?v=1685793216","url":"https:\/\/shulphink.com\/products\/excursions-in-multiplicative-number-theory-9783030731717","provider":"Shulph Ink","version":"1.0","type":"link"}