Understanding Analysis

• Κύριος συγγραφέας: Abbott, Stephen (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2015.
• Έκδοση: Second Edition.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed t...

Πίνακας περιεχομένων:

• Preface
• 1 The Real Numbers
• 2 Sequences and Series
• 3 Basic Topology of R
• 4 Functional Limits and Continuity
• 5 The Derivative
• 6 Sequences and Series of Functions
• 7 The Riemann Integral
• 8 Additional Topics
• Bibliography
• Index. .