rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Simultaneous differential equations and multi-dimensional vibrations
  name:
    name part: Campos, Luis Manuel Braga da Costa
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2018
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (pages)
  abstract: Simultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth 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 fourth book consists of two chapters (chapters 7 and 8 of the set). The first chapter concerns simultaneous systems of ordinary differential equations and focuses mostly on the cases that have a matrix of characteristic polynomials, namely linear systems with constant or homogeneous power coefficients. The method of the matrix of characteristic polynomials also applies to simultaneous systems of linear finite difference equations with constant coefficients. The second chapter considers linear multi-dimensional oscillators with any number of degrees of freedom including damping, forcing, and multiple resonance. The discrete oscillators may be extended from a finite number of degrees-of-freedom to infinite chains. The continuous oscillators correspond to waves in homogeneous or inhomogeneous media, including elastic, acoustic, electromagnetic, and water surface waves. The combination of propagation and dissipation leads to the equations of mathematical physics. Presents simultaneous systems of ordinary differential equations and their elimination for a single ordinary differential equation Includes cases with a matrix of characteristic polynomials, including simultaneous systems of linear differential and finite difference equations with constant coefficients Covers multi-dimensional oscillators with damping and forcing, including modal decomposition, natural frequencies and coordinates, and multiple resonance Discusses waves in inhomogeneous media, such as elastic, electromagnetic, acoustic, and water waves Includes solutions of partial differential equations of mathematical physics by separation of variables leading to ordinary differential equations
  note: Luis Manuel Braga da Campos.
  note: Includes bibliographical references and index.
  note: 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 Technolo
  subject:
    topic: Vibration
    topic: Mathematical models
  subject:
    topic: Oscillations
    topic: Mathematical models
  subject:
    topic: Differential equations
  subject:
    topic: Equations, Simultaneous
  subject:
    topic: Engineering mathematics
  subject:
    topic: Vibration
    topic: Modèles mathématiques
  subject:
    topic: Oscillations
    topic: Modèles mathématiques
  subject:
    topic: Équations différentielles
  subject:
    topic: Systèmes d'équations
  subject:
    topic: Mathématiques de l'ingénieur
  subject:
    topic: MATHEMATICS / Applied
  subject:
    topic: MATHEMATICS / Differential Equations
  subject:
    topic: MEDICAL / General
  subject:
    topic: Differential equations
  subject:
    topic: Engineering mathematics
  subject:
    topic: Equations, Simultaneous
  subject:
    topic: Oscillations
    topic: Mathematical models
  subject:
    topic: Vibration
    topic: Mathematical models
  classification: TA355 .C28 2018
  classification: 531/.320151535
  related item:
    identifier: (DLC) 2018049440
  identifier: 9780429030253 (electronic bk)
  identifier: 0429030258 (electronic bk)
  identifier: 9780429638589
  identifier: 0429638582
  identifier: 9780429641756
  identifier: 0429641753
  identifier: 9780429635410
  identifier: 0429635419
  identifier: 9780367137212
  identifier: 0367137216
  identifier: 9780429030253 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 191107
    record change date: 20241111204829.7
    record identifier: in00005528905
    language of cataloging:
      language term: eng