Journals Higher Education



Published: 27 December 2016

288 Pages

9.2 x 6.1 inches

ISBN: 9780198790433

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Bookseller Code (06)

Real Analysis

Fon-Che Liu

Oxford Graduate Texts in Mathematics

  • Suitable for use in self-study when approaching the subject for the first time.
  • The universality of the method of outer measure in the construction of measures is emphasized.
  • A chapter on real functions of one or several real variables studies in detail those relevant properties of functions which are frequently used in analysis proper or in other disciplines. Integral formula in polar coordinates is given a complete proof and is applied to give a brief account of potential integral.
  • The all-powerful Hahn-Banach theorem in linear analysis is derived from a separation principle which is intuitively more satisfactory.
  • The book is written with the recognition that aside from its well-known application to mathematical physics, Real Analysis is indispensable for probability theory which is now a very important discipline in modern science.
  • A glance of measure and integration in Chapter 2 shows quickly the general feature of integration based on measure.

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