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|a 9780429060816
|q (electronic bk.)
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| 024 |
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|a 10.1201/9780429060816
|2 doi
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| 035 |
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|a (OCoLC)1127538540
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| 037 |
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|a 9780429593864
|b Ingram Content Group
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|a 9780429060816
|b Taylor & Francis
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|a QA371
|b .C1927 2019
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|a MAT
|x 003000
|2 bisacsh
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|a 515/.35
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|a TXAM
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|a Campos, Luis Manuel Braga da Costa,
|e author.
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|a Classification and examples of differential equations and their applications /
|c Luis Manuel Braga da Campos.
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| 264 |
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|a Boca Raton :
|b CRC Press, Taylor & Francis Group,
|c 2019.
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| 300 |
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|a 1 online resource (1 volume :
|b illustrations (black and white)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
0 |
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|a Mathematics and physics for science and technology
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|a Includes bibliographical references and index.
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|a Print version record
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|a Classification and Examples of Differential Equations and their Applications is the sixth 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 sixth book consists of one chapter (chapter 10 of the set). It contains 20 examples related to the preceding five books and chapters 1 to 9 of the set. It includes two recollections: the first with a classification of differential equations into 500 standards and the second with a list of 500 applications. The ordinary differential equations are classified in 500 standards concerning methods of solution and related properties, including: (i) linear differential equations with constant or homogeneous coefficients and finite difference equations; (ii) linear and non-linear single differential equations and simultaneous systems; (iii) existence, unicity and other properties; (iv) derivation of general, particular, special, analytic, regular, irregular, and normal integrals; (v) linear differential equations with variable coefficients including known and new special functions. The theory of differential equations is applied to the detailed solution of 500 physical and engineering problems including: (i) one- and multidimensional oscillators, with damping or amplification, with non-resonant or resonant forcing; (ii) single, non-linear, and parametric resonance; (iii) bifurcations and chaotic dynamical systems; (iv) longitudinal and transversal deformations and buckling of bars, beams, and plates; (v) trajectories of particles; (vi) oscillations and waves in non-uniform media, ducts, and wave guides. Provides detailed solution of examples of differential equations of the types covered in tomes l-5 of the set (Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six -volume Set) Includes physical and engineering problems that extend those presented in the tomes 1-6 (Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set) Includes a classification of ordinary differential equations and their properties into 500 standards that can serve as a look-up table of methods of solution Covers a recollection of 500 physical and engineering problems and sub-cases that involve the solution of differential equations Presents the problems used as examples including formulation, solution, and interpretation of results
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|a Luis Manuel Braga da Costa Campos graduated in 1972 as a Mechanical Engineer from the Instituto Superior Tecnico (IST) of Lisbon Technical University. His tutorials as a student (1970) were followed by a career at the same institution (IST) through all levels: Assistant (1972), Assistant with tenure (1974), Assistant Professor (1978), Associate Professor (1982), Chair de Applied Mathematics and Mechanics (1985). He has been coordinator of undergraduate and post-graduate degrees in Aerospace Engineering since their creation in 1991. He is also coordinator of the Scientific Area of Applied and Aerospace Mechanics in the Department of Mechanical Engineering and director and founder of the Center for Aeronautical and Space Science and Technology.
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| 650 |
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|a Differential equations.
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| 650 |
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6 |
|a Équations différentielles.
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| 650 |
|
7 |
|a MATHEMATICS
|x Applied.
|2 bisacsh
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| 650 |
|
7 |
|a MATHEMATICS
|x Differential Equations.
|2 bisacsh
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| 650 |
|
7 |
|a MEDICAL
|x General.
|2 bisacsh
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| 650 |
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7 |
|a Differential equations
|2 fast
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| 655 |
|
7 |
|a Electronic books.
|2 local
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| 710 |
2 |
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|a Taylor & Francis
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| 758 |
|
|
|i has work:
|a Classification and examples of differential equations and their applications (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG76mhmVtJ77pcTkpmtyq3
|4 https://id.oclc.org/worldcat/ontology/hasWork
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|z 9780367137243
|z 0367137240
|w (DLC) 2019010823
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| 856 |
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|u http://proxy.library.tamu.edu/login?url=https://www.taylorfrancis.com/books/9780429060816
|z Connect to the full text of this electronic book
|t 0
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| 955 |
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|a Taylor and Francis MATHnetBASE
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| 994 |
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|a 92
|b TXA
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|a Texas A&M University
|b College Station
|c Electronic Resources
|d Available Online
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|h Library of Congress classification
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| 998 |
f |
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