000 -LEADER |
fixed length control field |
02616cam a22003377a 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20190507123356.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
090810s2010 nyua b 001 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
1441906142 (hbk.) |
|
International Standard Book Number |
9781441906144 (hbk.) |
|
International Standard Book Number |
9781441906151 |
|
International Standard Book Number |
1441906150 |
041 ## - Language |
Language code of text/sound track or separate title |
eng |
050 00 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA9 |
Item number |
.M29613 2010 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
511.3 |
Edition number |
22 |
Item number |
M296 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Manin, IU. I. |
9 (RLIN) |
13481 |
245 12 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
A course in mathematical logic for mathematicians / |
Statement of responsibility, etc |
Yu. I. Manin ; chapters I-VIII translated from the Russian by Neal Koblitz ; with new chapters by Boris Zilber and Yuri I. Manin. |
250 ## - EDITION STATEMENT |
Edition statement |
2nd ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
New York : |
Name of publisher, distributor, etc |
Springer, |
Date of publication, distribution, etc |
2010. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xvii, 384 p. : |
Other physical details |
ill. ; |
Dimensions |
25 cm. |
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
9 (RLIN) |
6341 |
Title |
Graduate texts in mathematics ; |
Volume number/sequential designation |
53 |
International Standard Serial Number |
0072-5285 |
500 ## - GENERAL NOTE |
General note |
The first edition was published in 1977 with the title: A course in mathematical logic. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (p. [379]-380) and index. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Provability: I. Introduction to formal languages ; II. Truth and deducibility ; III. The continuum problem and forcing ; IV. The continuum problem and constructible sets -- Computability: V. Recursive functions and Church's thesis ; VI. Diophantine sets and algorithmic undecidability -- Provability and computability: VII. G�odel's incompleteness theorem ; VIII. Recursive groups ; IX. Constructive universe and computation -- Model theory: X. Model theory. |
520 1# - SUMMARY, ETC. |
Summary, etc |
"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 JACKET. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Logic, Symbolic and mathematical. |
9 (RLIN) |
4822 |
|
Topical term or geographic name as entry element |
Einfuhrung. |
Source of heading or term |
swd |
9 (RLIN) |
13483 |
|
Topical term or geographic name as entry element |
Mathematische Logik. |
Source of heading or term |
swd |
9 (RLIN) |
13484 |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Koblitz, Neal, |
Dates associated with a name |
1948- |
9 (RLIN) |
13485 |
|
Personal name |
Zilber, Boris. |
9 (RLIN) |
13486 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Book |