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Real analysis, fourth edition, covers the basic material that every reader should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. I am currently planning to get a book on real analysis for self studying before diving into my 4th year real analysis course. I grew up, many, many moons ago, with the likes of royden and rudin, and maybe a few other contenders for a first year graduate real analysis text in fact, being a goofy and selfwilled youth, i often experimented with other sources generally with less than desirable results. Theory of functions of a real variable course taught at stanford university. Carothers, presupposing only a modest background in real. It covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This site is like a library, you could find million book here by using search box in the header. Analysis on the real number line, such as one encounters in an introductory course at the advanced undergraduate level using, say, rudins principles of mathematical analysis as a textbook, constitutes only a preliminary to a vast and farreaching domain, the subject of real analysis properly so called. Read online now royden real analysis 4th edition solutions pdf ebook pdf at our library.