Streaming af e- og lydbøger Stream e- og lydbøger Prøv gratis

Partial Differential Equations and Group Theory : New Perspectives for Applications

af

Du sparer 35% fra forlagets pris Du sparer 35% fra forlagets pris
Partial Differential Equations and Group Theory : New Perspectives for Applications
  • Forlagets pris kr. 1.299,95
  • Leveringstid 5-9 hverdage
  • Forventet levering 01-08-2018
  • Bog, hardback (kr. 849,95) (kr. 849,95)
    1. Beskrivelse

      Ordinary differential control thPory (the classical theory) studies input/output re­ lations defined by systems of ordinary differential equations (ODE). The various con­ cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re­ cently unified by means of new formal methods coming from differential geometry and differential algebra. However, certain problems (invariance, equivalence, linearization, etc. ) naturally lead to systems of partial differential equations (PDE). More generally, partial differential control theory studies input/output relations defined by systems of PDE (mechanics, thermodynamics, hydrodynamics, plasma physics, robotics, etc. ). One of the aims of this book is to extend the preceding con­ cepts to this new situation, where, of course, functional analysis and/or a dynamical system approach cannot be used. A link will be exhibited between this domain of applied mathematics and the famous 'Backlund problem', existing in the study of solitary waves or solitons. In particular, we shall show how the methods of differ­ ential elimination presented here will allow us to determine compatibility conditions on input and/or output as a better understanding of the foundations of control the­ ory. At the same time we shall unify differential geometry and differential algebra in a new framework, called differential algebraic geometry.

      Andre udgaver:

      Bog, hæftet

    2. Yderligere info
      Udgivelsesdato:
      01-06-1994
      Sprog:
      Engelsk
      ISBN13:
      9780792329664
      Sidetal:
      492
      Vægt:
      862 g
      Højde:
      27 mm
      Bredde:
      156 mm
      Længde:
      234 mm
      Forlag:
      Springer
      Mærkat:
      Bog, hardback
      Format:
      Hardback
    3. Anmeldelser

      Kundernes boganmeldelser af Partial Differential Equations and Group Theory : New Perspectives for Applications

    Fandt du ikke hvad du søgte?

    Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.