3278849Understanding Analysishttps://www.gandhi.com.mx/understanding-analysis-9780387215068/phttps://gandhi.vtexassets.com/arquivos/ids/2875198/7493d5a4-9776-472e-8b90-b3883e7fe126.jpg?v=638384570396500000719799MXNSpringer New YorkInStock/Ebooks/Understanding Analysis outlines an elementary, one-semester course designed to expose students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on the questions that give analysis its inherent fascination. Does the Cantor set contain any irrational numbers? Can the set of points where a function is discontinuous be arbitrary? Are derivatives continuous? Are derivatives integrable? Is an infinitely differentiable function necessarily the limit of its Taylor series? In giving these topics center stage, the hard work of a rigorous study is justified by the fact that they are inaccessible without it....3214814Understanding Analysis719799https://www.gandhi.com.mx/understanding-analysis-9780387215068/phttps://gandhi.vtexassets.com/arquivos/ids/2875198/7493d5a4-9776-472e-8b90-b3883e7fe126.jpg?v=638384570396500000InStockMXN99999DIEbook20129780387215068_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_This book outlines an elementary, one-semester course which exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.9780387215068_Springer New Yorklibro_electonico_770fdbe0-602b-3965-a07b-0bfb3e9f46bd_9780387215068;9780387215068_9780387215068Stephen AbbottInglésMéxico2012-12-06T00:00:00+00:00Springer New York