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Mathematical Analysis I

  • Textbook
  • Aug 2008

Overview

Authors:
  1. Claudio Canuto

    1. Dipartimento di Matematica, Politecnico di Torino, Torino

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    You can also search for this author in PubMed   Google Scholar

  2. Anita Tabacco

    1. Dipartimento di Matematica, Politecnico di Torino, Torino

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Universitext (UTX)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XII
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  2. Basic notions

    Pages 1-30

  3. Functions

    Pages 31-63

  4. Limits and continuity I

    Pages 65-87

  5. Limits and continuity II

    Pages 89-121

  6. Local comparison of functions. Numerical sequences and series

    Pages 123-165

  7. Differential calculus

    Pages 167-222

  8. Taylor expansions and applications

    Pages 223-255

  9. Geometry in the plane and in space

    Pages 257-298

  10. Integral calculus I

    Pages 299-353

  11. Integral calculus II

    Pages 355-385

  12. Ordinary differential equations

    Pages 387-421

  13. Back Matter

    Pages 423-433
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Keywords

About this book

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 .

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)

Authors and Affiliations

  • Dipartimento di Matematica, Politecnico di Torino, Torino

    Claudio Canuto, Anita Tabacco

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