Rezumat articol ediţie STUDIA UNIVERSITATIS BABEÅž-BOLYAI

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    STUDIA MATHEMATICA - Ediţia nr.1 din 2006  
         
  Articol:   BOOK REVIEWS - ELIAS M. STEIN & RAMI SHAKARCHI, REAL ANALYSIS – MEASURE THEORY, INTEGRATION AND HILBERT SPACES, PRINCETON LECTURES IN ANALYSIS III, PRINCETON UNIVERSITY PRESS, PRINCETON AND OXFORD 2005, XIX + 402 PP., ISBN 0-691-11386-6..

Autori:  ÅžTEFAN COBZAÅž. 		 
       
         
  Rezumat:  This is a third one of a four-volume treatise on analysis, based on four onesemester courses taught at the Princeton University, and having as purpose to emphasize the organic unity between various parts of the subject and, at a same time, to illustrate its wide applicability to other fields of mathematics and science. The first two volumes were concerned with Fourier Analysis (Part I) and Complex Analysis (Part II). A fourth volume on functional analysis, distribution theory and probability theory is planned. The emphasis in the presentation is on the historical order in which the main ideas and results emerged and shaped the field. For this reason some results are reconsidered and reexamined at various stages, with interconnections and applications to other areas.  
         
     
         
         
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