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A Course on Mathematical Logic (Record no. 44451)

MARC details
000 -LEADER
fixed length control field 03522nam a22005057a 4500
001 - CONTROL NUMBER
control field sulb-eb0022359
003 - CONTROL NUMBER IDENTIFIER
control field BD-SySUS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160413122248.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130125s2013 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461457466
-- 978-1-4614-5746-6
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4614-5746-6
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA8.9-10.3
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBC
Source bicssc
Subject category code PBCD
Source bicssc
Subject category code MAT018000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.3
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Srivastava, Shashi Mohan.
Relator term author.
245 12 - TITLE STATEMENT
Title A Course on Mathematical Logic
Medium [electronic resource] /
Statement of responsibility, etc. by Shashi Mohan Srivastava.
250 ## - EDITION STATEMENT
Edition statement 2nd ed. 2013.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York, NY :
Name of producer, publisher, distributor, manufacturer Springer New York :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 198 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Universitext,
International Standard Serial Number 0172-5939
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- 1 Syntax of First-Order Logic -- 2 Semantics of First-Order Languages -- 3 Propositional Logic -- 4 Completeness Theorem for First-Order Logic -- 5 Model Theory -- 6 Recursive Functions and Arithmetization of Theories -- 7 Incompleteness Theorems and Recursion Theory -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc. This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel’s incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. In this new edition, many small and large changes have been made throughout the text.  The main purpose of this new edition is to provide a healthy first introduction to model theory, which is a very important branch of logic.  Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry.  Some proofs, such as the proof of the very important completeness theorem,  have been completely rewritten in a more clear and concise manner.  The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more. Review from the first edition: "All results included in the book are very carefully selected and proved. The author’s manner of writing is excellent, which will surely make this book useful to many categories of readers." --Marius Tarnauceanu, Zentralblatt MATH.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Mathematical logic.
Topical term or geographic name as entry element Algebra.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Mathematical Logic and Foundations.
Topical term or geographic name as entry element Mathematical Logic and Formal Languages.
Topical term or geographic name as entry element Algebra.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9781461457459
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Universitext,
International Standard Serial Number 0172-5939
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-1-4614-5746-6">http://dx.doi.org/10.1007/978-1-4614-5746-6</a>
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type

No items available.