Download e-book for kindle: Advanced Real Analysis: With a Companion Volume 'Basic Real by Anthony W. Knapp

By Anthony W. Knapp

ISBN-10: 0817643826

ISBN-13: 9780817643829

complicated actual research systematically develops these strategies and instruments in genuine research which are very important to each mathematician, no matter if natural or utilized, aspiring or demonstrated. in addition to a spouse quantity simple actual research (available individually or jointly as a Set), those works current a complete therapy with a world view of the topic, emphasizing the connections among actual research and different branches of arithmetic. complex actual research calls for of the reader a primary path in degree idea, together with an creation to the Fourier rework and to Hilbert and Banach areas. a few familiarity with advanced research is useful for convinced chapters. The ebook is appropriate as a textual content in graduate classes resembling Fourier and practical research, sleek research, and partial differential equations. since it specializes in what each younger mathematician must learn about genuine research, the e-book is perfect either as a path textual content and for self-study, specially for graduate scholars getting ready for qualifying examinations. Its scope and procedure will attract teachers and professors in approximately all components of natural arithmetic, in addition to utilized mathematicians operating in analytic components equivalent to statistics, mathematical physics, and differential equations. certainly, the readability and breadth of complicated genuine research make it a great addition to the non-public library of each mathematician.

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Advanced Real Analysis: With a Companion Volume 'Basic Real Analysis' (Cornerstones) by Anthony W. Knapp

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