Writing Proofs in Analysis

• Κύριος συγγραφέας: Kane, Jonathan M. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Θέματα: Mathematics.; Fourier analysis.; Functional analysis.; Mathematical logic.; Functional Analysis.; Fourier Analysis.; Mathematical Logic and Foundations.

This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, whe...

Πίνακας περιεχομένων:

• What Are Proofs, And Why Do We Write Them?
• The Basics of Proofs
• Limits
• Continuity
• Derivatives
• Riemann Integrals
• Infinite Series
• Sequences of Functions
• Topology of the Real Line
• Metric Spaces .