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Classical Mathematical Logic
The Semantic Foundations of Logic
Buch von Richard L. Epstein
Sprache: Englisch

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Beschreibung
In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations.

The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference.

Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations.
In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations.

The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference.

Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations.
Über den Autor
Richard L. Epstein
With contributions by Leslaw W. Szczerba
Details
Erscheinungsjahr: 2006
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 546
ISBN-13: 9780691123004
ISBN-10: 0691123004
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Epstein, Richard L.
Hersteller: Princeton University Press
Maße: 260 x 183 x 34 mm
Von/Mit: Richard L. Epstein
Erscheinungsdatum: 23.07.2006
Gewicht: 1,212 kg
preigu-id: 102239411
Über den Autor
Richard L. Epstein
With contributions by Leslaw W. Szczerba
Details
Erscheinungsjahr: 2006
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 546
ISBN-13: 9780691123004
ISBN-10: 0691123004
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Epstein, Richard L.
Hersteller: Princeton University Press
Maße: 260 x 183 x 34 mm
Von/Mit: Richard L. Epstein
Erscheinungsdatum: 23.07.2006
Gewicht: 1,212 kg
preigu-id: 102239411
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