A course in mathematical logic for mathematicians

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Bộ sưu tập: Sách điện tử

ISBN:  1441906142

Ký hiệu phân loại: 511.3

Thông tin xuất bản: New York :Springer, 2010, 2nd ed

Mô tả vật lý: xvii, 384 p. : , ill. ; , 25 cm

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ID: 122013

"A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Godel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic." "The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses number-theoretic connections. The text presents a complete proof of the theorem of Davis-Putnam-Robinson-Matiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated."--BOOK JACKE

Logic, Symbolic and mathematical.-- Einführung.-- Mathematische Logik.-

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