TY - BOOK ID - 77891674 TI - Real analysis PY - 2000 SN - 9780511814228 1316087204 1139635980 1139648713 1139638262 1139641107 0511814224 9780521497497 9780521497565 9781139648714 9781139638265 9781139641104 0521497493 0521497566 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Mathematical analysis. KW - 517.1 Mathematical analysis KW - Mathematical analysis KW - 517.1 KW - 517.51 KW - integralen KW - Lebesgue KW - wiskunde KW - 517.51 Functions of a real variable. Real functions KW - Functions of a real variable. Real functions KW - analyse UR - https://www.unicat.be/uniCat?func=search&query=sysid:77891674 AB - This is a course in real analysis directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something to specialists and non-specialists. The course consists of three major topics: metric and normed linear spaces, function spaces, and Lebesgue measure and integration on the line. In an informal style, the author gives motivation and overview of new ideas, while supplying full details and proofs. He includes historical commentary, recommends articles for specialists and non-specialists, and provides exercises and suggestions for further study. This text for a first graduate course in real analysis was written to accommodate the heterogeneous audiences found at the masters level: students interested in pure and applied mathematics, statistics, education, engineering, and economics. ER -