Mathematical Logic

Nonfiction, Science & Nature, Mathematics, Logic
Cover of the book Mathematical Logic by Stephen Cole Kleene, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Stephen Cole Kleene ISBN: 9780486317076
Publisher: Dover Publications Publication: April 22, 2013
Imprint: Dover Publications Language: English
Author: Stephen Cole Kleene
ISBN: 9780486317076
Publisher: Dover Publications
Publication: April 22, 2013
Imprint: Dover Publications
Language: English

Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text. It begins with an elementary but thorough overview of mathematical logic of first order. The treatment extends beyond a single method of formulating logic to offer instruction in a variety of techniques: model theory (truth tables), Hilbert-type proof theory, and proof theory handled through derived rules.
The second part supplements the previously discussed material and introduces some of the newer ideas and the more profound results of twentieth-century logical research. Subsequent chapters explore the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. The author, Stephen Cole Kleene, was Cyrus C. MacDuffee Professor of Mathematics at the University of Wisconsin, Madison. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text. It begins with an elementary but thorough overview of mathematical logic of first order. The treatment extends beyond a single method of formulating logic to offer instruction in a variety of techniques: model theory (truth tables), Hilbert-type proof theory, and proof theory handled through derived rules.
The second part supplements the previously discussed material and introduces some of the newer ideas and the more profound results of twentieth-century logical research. Subsequent chapters explore the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. The author, Stephen Cole Kleene, was Cyrus C. MacDuffee Professor of Mathematics at the University of Wisconsin, Madison. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index.

More books from Dover Publications

Cover of the book Learn Chess from the Greats by Stephen Cole Kleene
Cover of the book Confessions of an English Opium Eater by Stephen Cole Kleene
Cover of the book Radford's House Designs of the Twenties by Stephen Cole Kleene
Cover of the book Non-Equilibrium Thermodynamics by Stephen Cole Kleene
Cover of the book Billy Mink by Stephen Cole Kleene
Cover of the book Complete String Quartets by Stephen Cole Kleene
Cover of the book Basic Optics and Optical Instruments by Stephen Cole Kleene
Cover of the book Algebraic Theories by Stephen Cole Kleene
Cover of the book Personal Recollections of Vincent Van Gogh by Stephen Cole Kleene
Cover of the book The Adventures of Uncle Lubin by Stephen Cole Kleene
Cover of the book Differential Geometry by Stephen Cole Kleene
Cover of the book How We Think by Stephen Cole Kleene
Cover of the book The Whole Craft of Spinning by Stephen Cole Kleene
Cover of the book The Revolt of the Angels by Stephen Cole Kleene
Cover of the book Friendship by Stephen Cole Kleene
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy