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    STUDIA MATHEMATICA - Issue no. 1 / 2015  
         
  Article:   BOOK REVIEWS: PETR HÁJEK, MICHAL JOHANIS, SMOOTH ANALYSIS IN BANACH SPACES, DE GRUYTER SERIES IN NONLINEAR ANALYSIS AND APPLICATIONS, VOL. 19, XVI + 465 PP, WALTER DE GRUYTER, BERLIN - NEW YORK, 2014, ISBN: 978-3-11-025898-1, E-ISBN: 978-3-11-025899-8, ISSN: 0941-813X.

Authors:  ŞTEFAN COBZAŞ. 		 
       
         
  Abstract:  The present book is devoted to a thorough and detailed presentation of various aspects of smoothness in Banach space setting. In this case, like in the finite dimensional one, a prominent role is played by polynomials, via Taylors formula – the most important result concerning smooth mappings.  
         
     
         
         
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