Kontakt
Wie einkaufen
Versand
Kaufberater
Gödel's Theorems and Zermelo's Axioms
A Firm Foundation of Mathematics
Englisch
141 b
Bis zu 30 Tage Rückgaberecht
Kunden kauften auch
/
Hardcover
22.39
€
This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical logic, including logical axioms, formal proofs and the basics of model theory. Building on this, in the second and third part of the book the authors present detailed proofs of Gödel s classical completeness and incompleteness theorems. In particular, the book includes a full proof of Gödel s second incompleteness theorem which states that it is impossible to prove the consistency of arithmetic within its axioms. The final part is dedicated to an introduction into modern axiomatic set theory based on Zermelo s axioms, containing also a presentation of Gödel s constructible universe of sets. A recurring theme in the whole book consists of standard and non-standard models of several theories, such as Peano arithmetic, Presburger arithmetic and the real numbers. This corrected, revised and extended second edition now provides also detailed solutions to all exercises, which are given at the end of each chapter.
The book addresses undergraduate mathematics students and is suitable for a one or two semester introductory course into logic and set theory.
Informationen zum Buch
Englisch
Verschenken Sie dieses Buch noch heute
Es ist ganz einfach
1 Legen Sie das Buch in Ihren Warenkorb und wählen Sie den Versand als Geschenk 2 Wir schicken Ihnen umgehend einen Gutschein 3 Das Buch wird an die Adresse des beschenkten Empfängers geliefertDas könnte Sie auch interessieren
/
Broschur
29.89
€
/
Broschur
15.39
€
/
Hardcover
12.09
€
/
Broschur
37.79
€
