Partial Differential Equations in Action (Record no. 426295)
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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 |
-- | |
-- | 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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