Real Analysis, 5th Edition

Halsey L.Royden's Real Analysis has contributed to educating generations of mathematical analysis students. The 5th Edition of this classic text presents some important updates while presenting the measure theory, integration theory and elements of metric, topological, Hilbert and Banach spaces that a modern analyst should know. Part I continues to consider Lebesgue measure and integration for functions of a real variable. In this revision, the treatment of general measure and integration is moved to Part II rather than Part III; material formerly in Part II is placed in Part III and a brief Part IV. This brings measure and integration on Euclidean space closer to their origin, the case of real variables; it also presents the opportunity to foreshadow more strongly, in the context of general measure and integration, concepts which later appear in general spaces. The text assumes an undergraduate course on the fundamental concepts of analysis.Real Analysis 5th Edition is written by Patrick M. Fitzpatrick; Halsey L. Royden and published by Pearson. ISBNs for Real Analysis are 9780136853541, 0136853544 and the print ISBNs are 9780137906529, 0137906528. Additional ISBNs include 9780136853503, 9780136853497, 9780136853473, 9780136853367.