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Partial Differential Equations in Action (Record no. 426295)

000 -LEADER
fixed length control field	03737nam a22004575i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number	9788847007529
--	978-88-470-0752-9
024 7# -
--	10.1007/978-88-470-0752-9
--	doi
040 ## -
--	ISI Library, Kolkata
050 #4 -
--	QA370-380
072 #7 -
--	PBKJ
--	bicssc
072 #7 -
--	MAT007000
--	bisacsh
072 #7 -
--	PBKJ
--	thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number	515.353
Edition number	23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Salsa, Sandro.
Relator code	aut
--	http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title	Partial Differential Equations in Action
Medium	[electronic resource] :
Remainder of title	From Modelling to Theory /
Statement of responsibility, etc	by Sandro Salsa.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type	E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
--	author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture	Milano :
Name of producer, publisher, distributor, manufacturer	Springer Milan,
Date of production, publication, distribution, manufacture	2009.
300 ## -
--	XV, 556 p.
--	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 ## -
--	text file
--	PDF
--	rda
490 1# -
--	Universitext,
--	0172-5939
505 0# -
--	Diffusion -- The Laplace Equation -- Scalar Conservation Laws and First Order Equations -- Waves and Vibrations -- Elements of Functional Analysis -- Distributions and Sobolev Spaces -- Variational Formulation of Elliptic Problems -- Weak Formulation of Evolution Problems.
520 ## -
--	This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first one has a rather elementary character with the goal of developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. Ideas and connections with concrete aspects are emphasized whenever possible, in order to provide intuition and feeling for the subject. For this part, a knowledge of advanced calculus and ordinary differential equations is required. Also, the repeated use of the method of separation of variables assumes some basic results from the theory of Fourier series, which are summarized in an appendix. The main topic of the second part is the development of Hilbert space methods for the variational formulation and analysis of linear boundary and initial-boundary value problems\emph{. }% Given the abstract nature of these chapters, an effort has been made to provide intuition and motivation for the various concepts and results. The understanding of these topics requires some basic knowledge of Lebesgue measure and integration, summarized in another appendix. At the end of each chapter, a number of exercises at different level of complexity is included. The most demanding problems are supplied with answers or hints. The exposition if flexible enough to allow substantial changes without compromising the comprehension and to facilitate a selection of topics for a one or two semester course.
650 #0 -
--	Differential equations, partial.
650 14 -
--	Partial Differential Equations.
--	http://scigraph.springernature.com/things/product-market-codes/M12155
710 2# -
--	SpringerLink (Online service)
773 0# -
--	Springer eBooks
776 08 -
--	Printed edition:
--	9788847010512
776 08 -
--	Printed edition:
--	9788847007512
830 #0 -
--	Universitext,
--	0172-5939
856 40 -
--	https://doi.org/10.1007/978-88-470-0752-9
912 ## -
--	ZDB-2-SMA
950 ## -
--	Mathematics and Statistics (Springer-11649)

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Indian Statistical Institute Library, Kolkata

Partial Differential Equations in Action (Record no. 426295)