Higher-order differential equations and elasticity [Vol.IV Book 6] (Record no. 566675)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03042 a2200253 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230801114250.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230721b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780367137205 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 531.3820151535 |
| Item number | C157h |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Campos, L. M. B. C |
| 245 ## - TITLE STATEMENT | |
| Title | Higher-order differential equations and elasticity [Vol.IV Book 6] |
| Remainder of title | ordinary differential equations with applications to trajectories and oscillations |
| Statement of responsibility, etc | L. M. B. C Campos |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | CRC Press |
| Year of publication | 2020 |
| Place of publication | Boca Raton |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xxix, 363p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Mathematics and physics for science and technology |
| 490 ## - SERIES STATEMENT | |
| Series statement | / edited by L. M. B. C Campos |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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).<br/><br/>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.<br/><br/>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.<br/><br/>Discusses differential equations having special integrals not contained in the general integral, like the envelope of a family of integral curves<br/>Presents differential equations of the second and higher order, including non-linear and with variable coefficients<br/>Compares relation of differentials with the principles of thermodynamics<br/>Describes deformations of non-stiff elastic bodies like strings and membranes and buckling of stiff elastic bodies like bars, beams, and plates<br/>Presents linear and non-linear waves in elastic strings, membranes, bars, beams, and plates |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Elasticity -- Mathematical models |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Thermoelasticity -- Mathematical models |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential equations |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| General Stacks | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 31/07/2023 | 68 | 8717.52 | 531.3820151535 C157h | A186142 | 10896.90 | Books |