{"product_id":"problems-and-solutions-for-undergraduate-real-analysis-paperback","title":"Problems and Solutions for Undergraduate Real Analysis - 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 present book \u003cb\u003eProblems and Solutions for Undergraduate Real Analysis\u003c\/b\u003e is the combined volume of author's two books \u003cb\u003eProblems and Solutions for Undergraduate Real Analysis I\u003c\/b\u003e and \u003cb\u003eProblems and Solutions for Undergraduate Real Analysis II\u003c\/b\u003e. By offering 456 exercises with different levels of difficulty, this book gives a brief exposition of the foundations of first-year undergraduate real analysis. Furthermore, we believe that students and instructors may find that the book can also be served as a source for some advanced courses or as a reference.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 \u003cli\u003e The Riemann-Stieltjes Integral\u003c\/li\u003e \u003cli\u003e Sequences and Series of Functions\u003c\/li\u003e \u003cli\u003e Improper Integrals\u003c\/li\u003e \u003cli\u003e Lebesgue Measure\u003c\/li\u003e\n\u003cli\u003e Lebesgue Measurable Functions\u003c\/li\u003e \u003cli\u003e Lebesgue Integration\u003c\/li\u003e \u003cli\u003e Differential Calculus of Functions of Several Variables\u003c\/li\u003e \u003cli\u003e Integral Calculus of Functions of Several Variables\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e Furthermore, the main features of this book are listed as follows: \u003cbr\u003e\u003col\u003e \u003cli\u003e The book contains 456 problems of undergraduate real analysis, which cover the topics mentioned above, with detailed and complete solutions. In fact, the 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. As a consequence, students can use these notes as a quick review before midterms or examinations.\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 \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\u003c\/ol\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 414\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.85 x 10 x 7 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 10, 2020\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":45667552198758,"sku":"9789887415534","price":60.35,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0599\/7255\/0758\/files\/dEJmYnVQazBXNFRzL2NQTGFQMHpmZz09.webp?v=1780001423","url":"https:\/\/infinitylightwa.com\/products\/problems-and-solutions-for-undergraduate-real-analysis-paperback","provider":"Infinity Light","version":"1.0","type":"link"}