Description
Pearson India Real Analysis 5th edition by Halsey Royden and Patrick M Fitzpatrick
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 measure theory, integration theory and elements of metric, topological, Hilbert and Banach spaces. An undergraduate course on the fundamental concepts of analysis is assumed.Features –🎯 Updated and reordered presentation🧩 Independent, modular chapters give instructors flexibility to cover material to suit course needs.💡 Understanding of the linkages between the text's parts is fostered throughout.🔥 Problems range from those that confirm understanding of basic results and ideas to those that are quite challenging; many problems foreshadow future developments.🧠 Simpler proofs of the Vitali Covering Lemma and Lebesgue's theorem on the differentiability almost everywhere of a monotone function are provided in Part I."