Higher-order differential equations and elasticity / (Record no. 74382)

000 -LEADER
fixed length control field 04242cam a2200565Mi 4500
001 - CONTROL NUMBER
control field 9780429029691
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220531132603.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191107s2019 flu ob 001 0 eng
040 ## - Cataloging Source
-- OCoLC-P
-- eng
-- rda
-- OCoLC-P
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429029691 (electronic bk)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429029691 (electronic bk)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429644177
-- (electronic bk. : PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429644175
-- (electronic bk. : PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429643934
-- (electronic bk. : Mobipocket)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429643934
-- (electronic bk. : Mobipocket)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429644054
-- (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429644051
-- (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780367137199
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 0367137194
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 0367137208
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780367137205
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1127538672
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC-P)1127538672
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA931
Item number .C36 2019
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-- MAT
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-- bisacsh
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-- MAT
-- 007000
-- bisacsh
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-- MED
-- 000000
-- bisacsh
072 #7 -
-- TBJ
-- bicssc
082 04 -
-- 531/.3820151535
-- 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Campos, Luis Manuel Braga da Costa,
Relator term author.
245 10 - TITLE STATEMENT
Title Higher-order differential equations and elasticity /
Statement of responsibility, etc. Luis Manuel Braga da Campos.
264 #1 -
-- Boca Raton :
-- CRC Press, Taylor & Francis Group,
-- [2019]
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (pages cm.)
336 ## -
-- text
-- txt
-- rdacontent
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-- computer
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-- rdamedia
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-- online resource
-- cr
-- rdacarrier
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-- Higher-Order Differential Equations and Elasticity is the third book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This third book consists of two chapters (chapters 5 and 6 of the set). The first chapter in this book concerns non-linear differential equations of the second and higher orders. It also considers special differential equations with solutions like envelopes not included in the general integral. The methods presented include special differential equations, whose solutions include the general integral and special integrals not included in the general integral for myriad constants of integration. The methods presented include dual variables and differentials, related by Legendre transforms, that have application in thermodynamics. The second chapter concerns deformations of one (two) dimensional elastic bodies that are specified by differential equations of: (i) the second-order for non-stiff bodies like elastic strings (membranes); (ii) fourth-order for stiff bodies like bars and beams (plates). The differential equations are linear for small deformations and gradients and non-linear otherwise. The deformations for beams include bending by transverse loads and buckling by axial loads. Buckling and bending couple non-linearly for plates. The deformations depend on material properties, for example isotropic or anisotropic elastic plates, with intermediate cases such as orthotropic or pseudo-isotropic. Discusses differential equations having special integrals not contained in the general integral, like the envelope of a family of integral curves Presents differential equations of the second and higher order, including non-linear and with variable coefficients Compares relation of differentials with the principles of thermodynamics Describes deformations of non-stiff elastic bodies like strings and membranes and buckling of stiff elastic bodies like bars, beams, and plates Presents linear and non-linear waves in elastic strings, membranes, bars, beams, and plates
588 ## -
-- OCLC-licensed vendor bibliographic record.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Elasticity
General subdivision Mathematical models.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Thermoelasticity
General subdivision Mathematical models.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / Applied
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / Differential Equations
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MEDICAL / General
Source of heading or term bisacsh
856 40 -
-- Taylor & Francis
-- https://www.taylorfrancis.com/books/9780429029691
856 42 -
-- OCLC metadata license agreement
-- http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf

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