CounterExamples : From Elementary Calculus to the Beginnings of Analysis.

IntroductionCommentsOn the structure of this bookOn mathematical language and notationBackground (elements of theory)SetsFunctionsFUNCTIONS OF ONE REAL VARIABLEElementary properties of functionsElements of theoryFunction definitionBoundednessPeriodicityEven/odd functionsMonotonicityExtremaExercisesL...

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Bibliographic Details
Main Author: Bourchtein, Andrei
Other Authors: Bourchtein, Ludmila
Format: eBook
Language:English
Published: Hoboken : CRC Press, 2014.
Series:Textbooks in Mathematics.
Subjects:
Online Access:Click for online access
Table of Contents:
  • Front Cover; Contents; Preface; List of Figures; Introduction; I. Functions of one real variable; 1. Elementary properties of functions; 2. Limits; 3. Continuity; 4. Differentiation; 5. Integrals; 6. Sequences and series; II. Functions of two real variables; 7. Limits and continuity; 8. Differentiability; 9. Integrability; Bibliography; Symbol Description.