MARC details
000 -LEADER |
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03701nam a22005655i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-540-88467-5 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20170628034931.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100301s2009 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783540884675 |
-- |
978-3-540-88467-5 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/978-3-540-88467-5 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
TA405-409.3 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA808.2 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
TG |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
TEC009070 |
Source |
bisacsh |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
TEC021000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
620.1 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Berdichevsky, Victor. |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Variational Principles of Continuum Mechanics |
Medium |
[electronic resource] : |
Remainder of title |
I. Fundamentals / |
Statement of responsibility, etc |
by Victor Berdichevsky. |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg, |
-- |
2009. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XVIII, 586 p. 79 illus. |
Other physical details |
online resource. |
336 ## - |
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text |
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txt |
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rdacontent |
337 ## - |
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computer |
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c |
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rdamedia |
338 ## - |
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online resource |
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cr |
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rdacarrier |
347 ## - |
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text file |
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PDF |
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rda |
490 1# - SERIES STATEMENT |
Series statement |
Interaction of Mechanics and Mathematics, |
International Standard Serial Number |
1860-6245 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Fundamentals -- Variational Principles -- Thermodynamics -- Continuum Mechanics -- Principle of Least Action in Continuum Mechanics -- Direct Methods of Calculus of Variations -- Variational features of classical continuum models -- Statics of a Geometrically Linear Elastic Body -- Statics of a Geometrically Nonlinear Elastic Body -- Dynamics of Elastic Bodies -- Ideal Incompressible Fluid -- Ideal Compressible Fluid -- Steady Motion of Ideal Fluid and Elastic Body -- Principle of Least Dissipation -- Motion of Rigid Bodies in Fluids. |
520 ## - SUMMARY, ETC. |
Summary, etc |
The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems. Berdichevsky’s work differs from other books on the subject in focusing mostly on the physical origin of variational principles as well as establishing their interrelations. For example, the Gibbs principles appear as a consequence of the Einstein formula for thermodynamic fluctuations rather than as the first principles of the theory of thermodynamic equilibrium. Mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for the direct study of variational problems. In addition, a thorough account of variational principles discovered in various branches of continuum mechanics is given. In this book, the first volume, the author covers the variational principles for systems with a finite number of degrees of freedom; the variational principles of thermodynamics; the basics of continuum mechanics; the variational principles for classical models of continuum mechanics, such as elastic and plastic bodies, and ideal and viscous fluids; and direct methods of calculus of variations. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Engineering. |
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 |
Mechanics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Engineering mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Materials. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mechanical engineering. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Engineering. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Continuum Mechanics and Mechanics of Materials. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Appl.Mathematics/Computational Methods of Engineering. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Applications of Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mechanics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mechanical Engineering. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Fluid- and Aerodynamics. |
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 |
9783540884668 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Interaction of Mechanics and Mathematics, |
-- |
1860-6245 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/978-3-540-88467-5">http://dx.doi.org/10.1007/978-3-540-88467-5</a> |
912 ## - |
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ZDB-2-ENG |