Integration theory and general topology form the core of this textbook for a first-year graduate course in real analysis. After the foundational material in the first chapter (construction of the reals, cardinal and ordinal numbers, Zorn's lemma and transfinite induction), measure, integral and topology are introduced and developed as recurrent themes of increasing depth. The treatment of integration theory is quite complete (including the convergence theorems, product measure, absolute continuity, the Radon-Nikodym theorem ...
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Integration theory and general topology form the core of this textbook for a first-year graduate course in real analysis. After the foundational material in the first chapter (construction of the reals, cardinal and ordinal numbers, Zorn's lemma and transfinite induction), measure, integral and topology are introduced and developed as recurrent themes of increasing depth. The treatment of integration theory is quite complete (including the convergence theorems, product measure, absolute continuity, the Radon-Nikodym theorem, and Lebesgue's theory of differentiation and primitive functions), while topology, predominantly metric, plays a supporting role. In the later chapters, integral and topology coalesce in topics such as function spaces, the Riesz representation theorem, existence theorems for an ordinary differential equation, and integral operators with continuous kernel function. In particular, the material on function spaces lays a firm foundation for the study of functional analysis.
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Add this copy of Fundamentals of Real Analysis (Universitext) to cart. $56.78, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1999 by Springer.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 800grams, ISBN: 9780387984803.
Add this copy of Fundamentals of Real Analysis to cart. $63.11, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1998 by Springer.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 800grams, ISBN: 9780387984803.
Add this copy of Fundamentals of Real Analysis (Universitext) to cart. $31.80, fair condition, Sold by Goodwill of Colorado rated 5.0 out of 5 stars, ships from COLORADO SPRINGS, CO, UNITED STATES, published 1998 by Springer.
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Fair. This item is in overall acceptable condition. Covers and dust jackets are intact but may have heavy wear including creases, bends, edge wear, curled corners or minor tears as well as stickers or sticker-residue. Pages are intact but may have minor curls, bends or moderate to considerable highlighting/ writing. Binding is intact; however, spine may have heavy wear. A well-read copy overall. Please note that all items are donated goods and are in used condition. Orders shipped Monday through Friday! Your purchase helps put people to work and learn life skills to reach their full potential. Orders shipped Monday through Friday. Your purchase helps put people to work and learn life skills to reach their full potential. Thank you!
Add this copy of Fundamentals of Real Analysis (Universitext) to cart. $31.81, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1998 by Springer.
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