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Loeb Measures in Practice: Recent Advances (Record no. 10420)

MARC details
000 -LEADER
fixed length control field	03863nam a22005415i 4500
001 - CONTROL NUMBER
control field	978-3-540-44531-9
003 - CONTROL NUMBER IDENTIFIER
control field	DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20190213151349.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field	cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9783540445319
--	978-3-540-44531-9
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code	10.1007/b76881
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
072 #7 - SUBJECT CATEGORY CODE
Subject category code	MAT018000
Source	bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code	PBC
Source	thema
072 #7 - SUBJECT CATEGORY CODE
Subject category code	PBCD
Source	thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	511.3
Edition number	23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Cutland, Nigel J.
Relator term	author.
Relator code	aut
--	http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title	Loeb Measures in Practice: Recent Advances
Medium	[electronic resource] /
Statement of responsibility, etc	by Nigel J. Cutland.
264 #1 -
--	Berlin, Heidelberg :
--	Springer Berlin Heidelberg :
--	Imprint: Springer,
--	2000.
300 ## - PHYSICAL DESCRIPTION
Extent	CXXXII, 118 p.
Other physical details	online resource.
336 ## -
--	text
--	txt
--	rdacontent
337 ## -
--	computer
--	c
--	rdamedia
338 ## -
--	online resource
--	cr
--	rdacarrier
347 ## -
--	text file
--	PDF
--	rda
490 1# - SERIES STATEMENT
Series statement	Lecture Notes in Mathematics,
International Standard Serial Number	0075-8434 ;
Volume number/sequential designation	1751
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note	Loeb Measures: Introduction -- Nonstandard Analysis -- Construction of Loeb Measures -- Loeb Integration Theory -- Elementary Applications. Stochastic Fluid Mechanics: Introduction -- Solution of the Deterministic Navier-Stokes Equations -- Solution of the Stochastic Navier-Stokes Equations -- Stochastic Euler Equations -- Statistical Solutions -- Attractors for the Navier-Stokes Equations -- Measure Attractors for Stochastic Navier-Stokes Equations -- Stochastic Attractors for Navier-Stokes Equations -- Attractors for the 3-dimensional Stochastic Navier-Stokes Equations. Stochastic Calculus of Variations: Introduction -- Flat Integral Representation of Wiener Measure -- The Wiener Sphere -- Brownian Motion on the Wiener Sphere and the Infinite Dimensional Ornstein-Uhlenbeck Process -- Malliavin Calculus. Mathematical Finance Theory: Introduction -- The Cox-Ross-Rubinstein Models -- Options and Contingent Claims -- The Black-Scholes Model... The complete table of contents can be found on the Internet: http://www.springer.de.
520 ## - SUMMARY, ETC.
Summary, etc	This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA. Subsequent chapters sketch a range of recent applications of Loeb measures due to the author and his collaborators, in such diverse fields as (stochastic) fluid mechanics, stochastic calculus of variations ("Malliavin" calculus) and the mathematical finance theory. The exposition is designed for a general audience, and no previous knowledge of either NSA or the various fields of applications is assumed.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Logic, Symbolic and mathematical.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Distribution (Probability theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Finance.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Mathematical Logic and Foundations.
--	http://scigraph.springernature.com/things/product-market-codes/M24005
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Real Functions.
--	http://scigraph.springernature.com/things/product-market-codes/M12171
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Probability Theory and Stochastic Processes.
--	http://scigraph.springernature.com/things/product-market-codes/M27004
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Quantitative Finance.
--	http://scigraph.springernature.com/things/product-market-codes/M13062
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
Display text	Printed edition:
International Standard Book Number	9783662211908
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text	Printed edition:
International Standard Book Number	9783540413844
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title	Lecture Notes in Mathematics,
--	0075-8434 ;
Volume number/sequential designation	1751
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier	https://doi.org/10.1007/b76881
912 ## -
--	ZDB-2-SMA
912 ## -
--	ZDB-2-LNM
912 ## -
--	ZDB-2-BAE

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