The Real Numbers An Introduction to Set Theory and Analysis /

• Κύριος συγγραφέας: Stillwell, John (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2013.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: Mathematics.; Functions of real variables.; History.; Mathematical logic.; Real Functions.; Mathematical Logic and Foundations.; History of Mathematical Sciences.

While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measu...

Πίνακας περιεχομένων:

• The Fundamental Questions
• From Discrete to Continuous
• Infinite Sets
• Functions and Limits
• Open Sets and Continuity
• Ordinals
• The Axiom of Choice
• Borel Sets
• Measure Theory
• Reflections
• Bibliography
• Index.