{"product_id":"9783031679537","title":"Synthesis Lectures on Mathematics \u0026 Statistics: Theorems and Examples","description":"\u003ch1\u003eSynthesis Lectures on Mathematics \u0026amp; Statistics: Theorems and Examples\u003c\/h1\u003e \u003ch2\u003eKatsuura, Hidefumi\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book focuses on the theoretical aspects of calculus. The book begins with a chapter on set theory before thoroughly discussing real numbers, then moves onto sequences, series, and their convergence. The author explains why an understanding of real numbers is essential in order to create a foundation for studying analysis. Since the Cantor set is elusive to many, a section is devoted to binary\/ternary numbers and the Cantor set.  The book then moves on to continuous functions, differentiations, integrations, and uniform convergence of sequences of functions. An example of a nontrivial uniformly Cauchy sequence of functions is given. The author defines each topic, identifies important theorems, and includes many examples throughout each chapter. The book also provides introductory instruction on proof writing, with an emphasis on how to execute a precise writing style.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2024-10-04\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031679537\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-67954-4\u003c\/p\u003e \u003cp\u003eDimensions: 240cm x168cm\u003c\/p\u003e \u003cp\u003ePages: 214\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":45385621340300,"sku":"9783031679537","price":44.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031679537.jpg?v=1776055781","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031679537","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}