Mohlo by se vám také líbit

Více informací o knize Applied Proof Theory: Proof Interpretations and their Use in Mathematics

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 385 bodů

Anotace knihy

This book presents an applied form of proof theory that has led to new results in number theory, approximation theory, nonlinear analysis, geodesic geometry and ergodic theory (among others) in recent years . This applied approach is based on logical transformations (so-called proof interpretations) and concerns the extraction of effective data (such as bounds) from prima facie ineffective proofs as well as new qualitative results (independence of solutions from certain parameters, generalizations of proofs by elimination of premises and others). §The book first develops the necessary logical machinery emphasizing novel forms of Gödel's famous functional ('Dialectica') interpretation. It then establishes general logical metatheorems that connect these techniques with concrete mathematics. Finally, two extended case studies (one in approximation theory and one in fixed point theory) show in detail how this machinery can be applied to concrete proofs in different areas of mathematics.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Mathematical foundations

• Plný název: Applied Proof Theory: Proof Interpretations and their Use in Mathematics
• Podnázev: Proof Interpretations and their Use in Mathematics
• Autor: Ulrich Kohlenbach
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 536
• EAN: 9783540775324
• ISBN: 3540775323
• ID: 02108106
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 940 g
• Rozměry: 237 × 164 × 36 mm
• Datum vydání: 26. May 2008

Oblíbené z jiného soudku

---

---

---