Higher-order differential equations and elasticity / (Record no. 74382)
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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 |
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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 |
072 #7 - | |
-- | MAT |
-- | 003000 |
-- | bisacsh |
072 #7 - | |
-- | MAT |
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072 #7 - | |
-- | MED |
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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 |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
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-- | 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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