A Course in Mathematical Logic (Graduate Texts in Mathematics) pdf epub mobi txt 电子书下载 2024

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Yu. I. Manin

Springer

1977-12-19

299

USD 74.95

Hardcover

Graduate Texts in Mathematics

9780387902432

图书标签: 数理逻辑数学 nemlophics in Springer Mathematical Math Logic

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发表于2024-11-25

A Course in Mathematical Logic (Graduate Texts in Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

A Course in Mathematical Logic (Graduate Texts in Mathematics) pdf epub mobi txt 电子书下载 2024

图书描述

This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a sub-class of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities.

A Course in Mathematical Logic (Graduate Texts in Mathematics) 下载 mobi epub pdf txt 电子书