{"product_id":"problems-and-solutions-for-undergraduate-real-analysis-i-paperback","title":"Problems and Solutions for Undergraduate Real Analysis I - 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\u003eKit-Wing Yu\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe aim of \u003cb\u003eProblems and Solutions for Undergraduate Real Analysis I\u003c\/b\u003e, as the name reveals, is to assist undergraduate students or first-year students who study mathematics in learning their first rigorous real analysis course. The wide variety of problems, which are of varying difficulty, include the following topics: \u003cbr\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e Elementary Set Algebra\u003c\/li\u003e \u003cli\u003e The Real Number System\u003c\/li\u003e \u003cli\u003e Countable and Uncountable Sets\u003c\/li\u003e \u003cli\u003e Elementary Topology on Metric Spaces\u003c\/li\u003e \u003cli\u003e Sequences in Metric Spaces\u003c\/li\u003e \u003cli\u003e Series of Numbers\u003c\/li\u003e \u003cli\u003e Limits and Continuity of Functions\u003c\/li\u003e \u003cli\u003e Differentiation\u003c\/li\u003e\n\u003cli\u003e the Riemann-Stieltjes Integral \u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003eFurthermore, the main features of this book are listed as follows: \u003cbr\u003e\u003col\u003e \u003cli\u003e The book contains 230 problems, which cover the topics mentioned above, with detailed and complete solutions. As a matter of fact, my solutions show every detail, every step and every theorem that I applied.\u003c\/li\u003e\n\u003cli\u003e Each chapter starts with a brief and concise note of introducing the notations, terminologies, basic mathematical concepts or important\/famous\/frequently used theorems (without proofs) relevant to the topic.\u003c\/li\u003e\n\u003cli\u003e Three levels of difficulty have been assigned to problems so that you can sharpen your mathematics step-by-step.\u003c\/li\u003e\n\u003cli\u003e Different colors are used frequently in order to highlight or explain problems, examples, remarks, main points\/formulas involved, or show the steps of manipulation in some complicated proofs. (ebook only)\u003c\/li\u003e\n\u003cli\u003e An appendix about mathematical logic is included. It tells students what concepts of logic (e.g. techniques of proofs) are necessary in advanced mathematics.\u003c\/li\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 212\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.45 x 10 x 7 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 22, 2018\u003c\/div\u003e\n            \u003c\/ol\u003e","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47337087992057,"sku":"9789887879756","price":28.35,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/WUFMUXlFUmFuUHR4WmcxMUtmKzJNUT09.webp?v=1769674907","url":"https:\/\/bookscloud.io\/products\/problems-and-solutions-for-undergraduate-real-analysis-i-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}