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Mathematical Analysis (Volume I) Course in PDF

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: 830
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