Buch, Englisch, Format (B × H): 187 mm x 263 mm, Gewicht: 976 g
Buch, Englisch, Format (B × H): 187 mm x 263 mm, Gewicht: 976 g
ISBN: 978-0-8218-2974-5
Verlag: American Mathematical Society
Integration is one of the two cornerstones of analysis. Since the fundamental work of Lebesgue, integration has been interpreted in terms of measure theory. This introductory text starts with the historical development of the notion of the integral and a review of the Riemann integral. From here, the reader is naturally led to the consideration of the Lebesgue integral, where abstract integration is developed via measure theory. The important basic topics are all covered: the Fundamental Theorem of Calculus, Fubini's Theorem, $L p$ spaces, the Radon-Nikodym Theorem, change of variables formulas, and so on. The book is written in an informal style to make the subject matter easily accessible. Concepts are developed with the help of motivating examples, probing questions, and many exercises. It would be suitable as a textbook for an introductory course on the topic or for self-study. For this edition, more exercises and four appendices have been added.
This introductory text starts with the historical development of the notion of the integral, and a review of the Riemann integral. From here, the reader is naturally led to the consideration of the Lebesgue integral, where abstract integration is developed via measure theory. The important basic topics are all covered, including the Fundamental Theorem of Calculus, Fubini's Theorem, $L p$ spaces, the Radon-Nikodym Theorem, and change of variables formulas. The book is written in an informal style to make the subject matter easily accessible, and this new edition contains more exercises, as well as four new appendices.
