MARC details
000 -LEADER |
fixed length control field |
03239cam a22004095i 4500 |
001 - CONTROL NUMBER |
control field |
11303890 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20160914144722.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
fixed length control field |
m d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr n |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
130523s1977 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780387902432 |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
(WaSeSS)ssj0001090496 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
IISER Bhopal |
Transcribing agency |
VBD |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBCD |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT018000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
511.3 M314C |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Manin, Yu. I. |
9 (RLIN) |
6164 |
222 ## - KEY TITLE |
Key title |
Mathematics Collection |
245 12 - TITLE STATEMENT |
Title |
A course in mathematical logic |
Statement of responsibility, etc |
Yu. I. Manin. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
New York : |
Name of publisher, distributor, etc |
Springer-Verlag, |
Date of publication, distribution, etc |
1977. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xiii, 286 p. |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Graduate texts in mathematics; |
Number of part/section of a work |
53 |
9 (RLIN) |
10089 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
I Provability -- I Introduction to formal languages -- II Truth and deducibility -- III The continuum problem and forcing -- IV The continuum problem and constructible sets -- II Computability -- V Recursive functions and Church's -- VI Diophantine sets and algorithmic undecidability -- III Provability and Computability -- VII Gödel's incompleteness theorem -- VIII Recursive groups. |
506 ## - RESTRICTIONS ON ACCESS NOTE |
Terms governing access |
License restrictions may limit access. |
520 ## - SUMMARY, ETC. |
Summary, etc |
1. This book is above all addressed to mathematicians. It is intended to be a textbook of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last ten or fifteen years. These include: the independence of the continuum hypothe sis, the Diophantine nature of enumerable sets, the impossibility of finding an algorithmic solution for one or two old problems. All the necessary preliminary material, including predicate logic and the fundamentals of recursive function theory, is presented systematically and with complete proofs. We only assume that the reader is familiar with "naive" set theoretic arguments. In this book mathematical logic is presented both as a part of mathe matics and as the result of its self-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought. Foundational problems are for the most part passed over in silence. Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. 2. The first two chapters are devoted to predicate logic. The presenta tion here is fairly standard, except that semantics occupies a very domi nant position, truth is introduced before deducibility, and models of speech in formal languages precede the systematic study of syntax. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Logic. |
9 (RLIN) |
6165 |
General subdivision |
Symbolic and mathematical. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
9 (RLIN) |
6166 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematical logic and foundations. |
9 (RLIN) |
6167 |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
773 #0 - HOST ITEM ENTRY |
Title |
SpringerLink ebooks - Mathematics and Statistics (Archive) |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781475743876 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Graduate Texts in Mathematics, |
Volume number/sequential designation |
53 |
9 (RLIN) |
6169 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="http://www.columbia.edu/cgi-bin/cul/resolve?clio11303890">http://www.columbia.edu/cgi-bin/cul/resolve?clio11303890</a> |
Public note |
Full text available from SpringerLink ebooks - Mathematics and Statistics (Archive) |
910 ## - USER-OPTION DATA (OCLC) |
User-option data |
Vendor-generated brief record |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
Books |