Mathematical Analysis (Volume I) Course in PDF

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This text is an outgrowth of lectures given at the University of Windsor, Canada. One of our main objectives is updating the undergraduate analysis as a rigorous postcalculus course. While such excellent books as Dieudonn´e’s Foundations of Modern Analysis are addressed mainly to graduate students, we try to simplify the modern Bourbaki approach to make it accessible to sufficiently advanced undergraduates.

Contents

  • Chapter 1. Set Theory
  • Chapter 2. Real Numbers. Fields
  • Chapter 3. Vector Spaces. Metric Spaces
  • Chapter 4. Function Limits and Continuity
  • Chapter 5. Differentiation and Antidifferentiation

 

Description : Download free course Mathematical Analysis (Volume I), The Zakon Series on Mathematical Analysis, PDF book by Elias Zakon.
Level : Intermediate
Created : March 25, 2016
Size : 2.23 MB
File type : pdf
Pages : 367
Author : Elias Zakon University of Windsor
Licence : Creative commons
Downloads : 829

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