Anglický jazyk

Mathematical Analysis

Vydavateľstvo: Lulu.com
Rok vydania: 2014
Formát: Paperback
Rozmer: 280 x 216 mm
Jazyk: Anglický jazyk
ISBN: 9781312441286

A textbook for advanced undergraduates and graduate students.

Chapter 1. Set Theory
Chapter 2. Real Numbers. Fields
Chapter 3. Vector Spaces. Metric Spaces
Chapter 4. Function... Viac o knihe

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O knihe

A textbook for advanced undergraduates and graduate students.

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
All Chapters contain problem sets.

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. On the other hand, we endeavor not to lose contact with classical texts.