{"product_id":"problems-and-solutions-for-undergraduate-real-analysis-i-9789887879756","title":"Problems and Solutions for Undergraduate Real Analysis I","description":"\u003cp\u003e • Author(s): Kit-Wing Yu\u003cbr\u003e • Publisher: 978-988-78797-5-6\u003cbr\u003e • Publisher Imprint: 978-988-78797-5-6\u003cbr\u003e • BISAC: Mathematical Analysis\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: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eElementary Set Algebra\u003c\/li\u003e\n\u003cli\u003eThe Real Number System\u003c\/li\u003e\n\u003cli\u003eCountable and Uncountable Sets\u003c\/li\u003e\n\u003cli\u003eElementary Topology on Metric Spaces\u003c\/li\u003e\n\u003cli\u003eSequences in Metric Spaces\u003c\/li\u003e\n\u003cli\u003eSeries of Numbers\u003c\/li\u003e\n\u003cli\u003eLimits and Continuity of Functions\u003c\/li\u003e\n\u003cli\u003eDifferentiation\u003c\/li\u003e\n\u003cli\u003ethe Riemann-Stieltjes Integral\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003eFurthermore, the main features of this book are listed as follows: \u003col\u003e\n\u003cli\u003eThe 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\u003eEach 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\u003eThree levels of difficulty have been assigned to problems so that you can sharpen your mathematics step-by-step.\u003c\/li\u003e\n\u003cli\u003eDifferent 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\u003eAn 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\u003c\/ol\u003e","brand":"978-988-78797-5-6","offers":[{"title":"Paperback","offer_id":47780317986967,"sku":"9789887879756","price":1807.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789887879756.webp?v=1778044381","url":"https:\/\/atlanticbooks.com\/products\/problems-and-solutions-for-undergraduate-real-analysis-i-9789887879756","provider":"Atlantic Books","version":"1.0","type":"link"}