Advanced Calculus, An Introduction To Mathematical Analysis

This book is an introduction to mathematical analysis (i.e real analysis) at a fairly elementary level.A great (unusual) emphasis is given to the construction of rational and then of real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes the usual presentation of: sequences of real numbers, infinite numerical series, continuous functions, derivatives and Riemann-Darboux integration. There are also two �special� sections: on convex functions and on metric spaces, as well as an elementary appendix on Logic, Set Theory and Functions. We insist on a rigorous presentation throughout in the framework of the classical, standard, analysis.Advanced Calculus, An Introduction To Mathematical Analysis is written by Zaidman Samuel and published by World Scientific. ISBNs for Advanced Calculus, An Introduction To Mathematical Analysis are 9789812830104, 9812830103 and the print ISBNs are 9789810227043, 9810227043.