{"product_id":"a-course-in-lebesgue-measure-integration-english-version","title":"A Course In Lebesgue Measure \u0026 Integration (English Version)","description":"\u003cul data-start=\"66\" data-end=\"220\"\u003e\n\u003cli data-section-id=\"151x68e\" data-start=\"66\" data-end=\"115\"\u003e\n\u003cstrong data-start=\"68\" data-end=\"80\"\u003eAuthors:\u003c\/strong\u003e S. Kumaresan \u0026amp; Dharmatti Sheetal\u003cspan aria-hidden=\"true\" class=\"PDq2pG_selectionAnchor\"\u003e\u003c\/span\u003e\n\u003c\/li\u003e\n\u003cli data-section-id=\"1c0a29k\" data-start=\"116\" data-end=\"143\"\u003e\n\u003cstrong data-start=\"118\" data-end=\"127\"\u003eISBN:\u003c\/strong\u003e 9789389314878\u003c\/li\u003e\n\u003cli data-section-id=\"1kg9wit\" data-start=\"144\" data-end=\"162\"\u003e\n\u003cstrong data-start=\"146\" data-end=\"156\"\u003ePages:\u003c\/strong\u003e 250\u003c\/li\u003e\n\u003cli data-section-id=\"1gdb4z6\" data-start=\"163\" data-end=\"188\"\u003e\n\u003cstrong data-start=\"165\" data-end=\"178\"\u003eLanguage:\u003c\/strong\u003e English\u003c\/li\u003e\n\u003cli data-section-id=\"neb4hx\" data-start=\"189\" data-end=\"220\"\u003e\n\u003cstrong data-start=\"191\" data-end=\"205\"\u003ePublisher:\u003c\/strong\u003e Techno World\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3 data-section-id=\"zmqxej\" data-start=\"222\" data-end=\"240\"\u003eAbout the Book\u003c\/h3\u003e\n\u003cp data-start=\"242\" data-end=\"707\"\u003e\u003cem data-start=\"242\" data-end=\"286\"\u003eA Course in Lebesgue Measure \u0026amp; Integration\u003c\/em\u003e is a comprehensive textbook that introduces the fundamental concepts of Measure Theory and Lebesgue Integration in a clear, intuitive, and mathematically rigorous manner. Designed primarily for postgraduate students of Mathematics, the book follows the standard curriculum prescribed by universities while making the subject accessible through geometric intuition, detailed explanations, and carefully structured proofs.\u003c\/p\u003e\n\u003cp data-start=\"709\" data-end=\"1105\"\u003eMeasure Theory forms the foundation of advanced mathematical analysis and plays a vital role in areas such as Functional Analysis, Probability Theory, Real Analysis, Harmonic Analysis, and Differential Equations. This book bridges the gap between abstract theory and conceptual understanding by reviving the geometric ideas that originally inspired Henri Lebesgue's development of measure theory.\u003c\/p\u003e\n\u003cp data-start=\"1107\" data-end=\"1550\"\u003eBeginning with the extension of the notion of length to arbitrary subsets of the real line, the text gradually develops concepts such as outer measure, measurable sets, measurable functions, Lebesgue measure, and Lebesgue integration. Special emphasis is placed on various modes of convergence of functions, supported by numerous examples, practical insights, and guidance on selecting appropriate convergence theorems in different situations.\u003c\/p\u003e\n\u003cp data-start=\"1552\" data-end=\"1893\"\u003eThe book also presents a detailed comparison between Riemann and Lebesgue integration, helping readers understand the advantages, limitations, and applications of each approach. Technical proofs are explained with precision and supported by illustrations wherever appropriate, making even complex concepts easier to visualize and comprehend.\u003c\/p\u003e\n\u003cp data-start=\"1895\" data-end=\"2228\"\u003eRich with in-text exercises, end-of-chapter problems, hints, and optional advanced sections titled \u003cstrong data-start=\"1994\" data-end=\"2018\"\u003e\"For a Good Measure\"\u003c\/strong\u003e, this book is an excellent resource for students preparing for university examinations, higher studies, research, and competitive examinations requiring a strong background in Real Analysis and Measure Theory.\u003c\/p\u003e\n\u003ch3 data-section-id=\"1iz91iu\" data-start=\"2230\" data-end=\"2246\"\u003eKey Features\u003c\/h3\u003e\n\u003cul data-start=\"2248\" data-end=\"3047\"\u003e\n\u003cli data-section-id=\"1ebifb9\" data-start=\"2248\" data-end=\"2319\"\u003eComprehensive introduction to Measure Theory and Lebesgue Integration\u003c\/li\u003e\n\u003cli data-section-id=\"1denm2n\" data-start=\"2320\" data-end=\"2398\"\u003eBased on intuitive geometric foundations for better conceptual understanding\u003c\/li\u003e\n\u003cli data-section-id=\"76g1vl\" data-start=\"2399\" data-end=\"2478\"\u003eClear explanation of outer measure, measurable sets, and measurable functions\u003c\/li\u003e\n\u003cli data-section-id=\"4ldyns\" data-start=\"2479\" data-end=\"2544\"\u003eDetailed treatment of Lebesgue Measure and Lebesgue Integration\u003c\/li\u003e\n\u003cli data-section-id=\"1j6xdin\" data-start=\"2545\" data-end=\"2614\"\u003eExtensive discussion on different modes of convergence of functions\u003c\/li\u003e\n\u003cli data-section-id=\"1h1b1qm\" data-start=\"2615\" data-end=\"2670\"\u003eComparative study of Riemann and Lebesgue Integration\u003c\/li\u003e\n\u003cli data-section-id=\"18dngbe\" data-start=\"2671\" data-end=\"2719\"\u003eFully explained proofs with mathematical rigor\u003c\/li\u003e\n\u003cli data-section-id=\"5x7kgc\" data-start=\"2720\" data-end=\"2780\"\u003eIllustrations and diagrams supporting theoretical concepts\u003c\/li\u003e\n\u003cli data-section-id=\"8o8vkb\" data-start=\"2781\" data-end=\"2829\"\u003eNumerous solved examples and explanatory notes\u003c\/li\u003e\n\u003cli data-section-id=\"1j5o07b\" data-start=\"2830\" data-end=\"2897\"\u003eIn-text exercises and end-of-chapter practice problems with hints\u003c\/li\u003e\n\u003cli data-section-id=\"d5zfrc\" data-start=\"2898\" data-end=\"2957\"\u003eSpecial advanced sections titled \u003cstrong data-start=\"2933\" data-end=\"2957\"\u003e\"For a Good Measure\"\u003c\/strong\u003e\n\u003c\/li\u003e\n\u003cli data-section-id=\"hytsqd\" data-start=\"2958\" data-end=\"3047\"\u003eSuitable for postgraduate studies, research scholars, and advanced mathematics learners\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3 data-section-id=\"1qmgibc\" data-start=\"3049\" data-end=\"3062\"\u003eIdeal For\u003c\/h3\u003e\n\u003cul data-start=\"3064\" data-end=\"3376\"\u003e\n\u003cli data-section-id=\"i66e2j\" data-start=\"3064\" data-end=\"3092\"\u003eM.Sc. Mathematics Students\u003c\/li\u003e\n\u003cli data-section-id=\"i24sf2\" data-start=\"3093\" data-end=\"3130\"\u003ePostgraduate Mathematics Programmes\u003c\/li\u003e\n\u003cli data-section-id=\"115yn3l\" data-start=\"3131\" data-end=\"3175\"\u003eUniversity Students Studying Real Analysis\u003c\/li\u003e\n\u003cli data-section-id=\"uk1qrd\" data-start=\"3176\" data-end=\"3210\"\u003eResearch Scholars in Mathematics\u003c\/li\u003e\n\u003cli data-section-id=\"1xnc49y\" data-start=\"3211\" data-end=\"3246\"\u003eTeachers of Mathematical Analysis\u003c\/li\u003e\n\u003cli data-section-id=\"1g9bw6s\" data-start=\"3247\" data-end=\"3312\"\u003eStudents Preparing for NET, SET, GATE, and Other Higher Studies\u003c\/li\u003e\n\u003cli data-section-id=\"nxsvpn\" data-start=\"3313\" data-end=\"3376\"\u003eLearners Interested in Measure Theory and Functional Analysis\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Techno World","offers":[{"title":"Default Title","offer_id":67145032532272,"sku":"Techno_9789389314878","price":356.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/Techno_9789389314878.jpg?v=1782450088","url":"https:\/\/www.retailmaharaj.com\/products\/a-course-in-lebesgue-measure-integration-english-version","provider":"Retail Maharaj","version":"1.0","type":"link"}