Mathematical Analysis I by Claudio CanutoMathematical Analysis I by Claudio Canuto

Mathematical Analysis I

byClaudio Canuto, Anita Tabacco

Paperback | August 4, 2008

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The recen t Europea n Programm e Specification's hav e force d a reassessmen t o f th e structure an d syllab i o f th e entir e syste m o f Italia n highe r education , an d a n ensuing rethinkin g o f th e teachin g material . Nowadays man y lectur e courses , especiall y rudimentar y ones , deman d tha t st- dents maste r a larg e amoun t o f theoretica l an d practica l knowledg e i n a spa n o f just fe w weeks , i n orde r t o gai n a smal l numbe r o f credits . A's a result , instructor's face th e dilemm a o f ho w t o presen t th e subjec t matter . The y mus t mak e appr- priate choice's abou t lectur e content , th e comprehensio n leve l require d fro m th e recipients, an d whic h kin d o f languag e t o use .
Title:Mathematical Analysis IFormat:PaperbackDimensions:433 pagesPublished:August 4, 2008Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:8847008751

ISBN - 13:9788847008755


Table of Contents

Basic notions.- Functions.- Limits and continuity I.- Limits and continuity II.- Local comparison of functions. Numerical sequences and series.- Differential calculus.- Taylor expansions and applications.- Geometry in the plane and in space.- Integral calculus I.- Integral calculus II.- Ordinary differential equations.

Editorial Reviews

From the reviews:"The aim of this book is to give efficiently the basic concepts of calculus and its applications. . There are many examples, counterexamples and exercises with . a hint of the solutions. . make an excellent choice not only for the non-mathematicians mentioned in the review but for anyone studying a first course in calculus." (Peter S. Bullen, Zentralblatt MATH, Vol. 1149, 2008)