{"product_id":"problems-and-solutions-for-undergraduate-kit-wing-yu-9789887879756","title":"Problems and Solutions for Undergraduate Real Analysis I","description":"The 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\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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Kit-Wing Yu\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9887879754\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789887879756\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e 978-988-78797-5-6\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/22\/2018\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 212\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.83lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.00h x 7.00w x 0.45d\u003c\/ol\u003e","brand":"Kit-Wing Yu","offers":[{"title":"Paperback","offer_id":44126137123071,"sku":"9789887879756","price":21.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_02d23782-b1aa-46c9-bf4e-045091b4fc81.jpg?v=1687446477","url":"https:\/\/www.whiterainbookhouse.com\/products\/problems-and-solutions-for-undergraduate-kit-wing-yu-9789887879756","provider":"WR Book House","version":"1.0","type":"link"}