Applied Proof Theory: Proof Interpretations and Their Use in Mathematics

• Κύριος συγγραφέας: Kohlenbach, Ulrich (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Approximation theory.; Functional analysis.; Operator theory.; Mathematical logic.; Mathematical Logic and Foundations.; Mathematics, general.; Approximations and Expansions.; Operator Theory.; Functional Analysis.

Ulrich Kohlenbach presents an applied form of proof theory that has led in recent years to new results in number theory, approximation theory, nonlinear analysis, geodesic geometry and ergodic theory (among others). This applied approach is based on logical transformations (so-called proof interpret...