Real functions / Brian S. Thomson
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1170Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1985ISBN: 9783540160588.ISSN: 1617-9692.Sujet MSC : 26-02, Research exposition (monographs, survey articles) pertaining to real functions26A15, Real functions - Functions of one variable, Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.)
26A24, Real functions - Functions of one variable, Differentiation: general theory, generalized derivatives, mean value theoremsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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... The monograph has seven chapters entitled by: local system, cluster sets, continuity, variation of a function, monotonicity, relations among derivatives and the Denjoy-Young relations and appendix: set porosity.
The material in the monograph is good organized, the explanation is interesting and several proofs and reflections that do not require some special ideas are left to the reader. There are also much references on directly or indirectly related papers. I think that the author was successful in writing this book, so that he fulfilled his intention. (Zentralblatt)
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