Applications of Lie groups to differential equations by Peter J. Olver

Applications of Lie groups to differential equations



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Applications of Lie groups to differential equations Peter J. Olver ebook
Page: 640
Format: djvu
Publisher: Springer-Verlag
ISBN: 0387962506, 9780387962504


(1998), Partial Differential Equations, Providence: American Mathematical Society, ISBN 0821807722. Within this section general relativity is briefly discussed as is Noether's theorem. The first half of the book is based Keywords » Control Systems - Lie Algebras - Matrix Groups - brandonwiskunde. Partial Differential Equations for Scientists and Engineers – Stanley J. The book contains exercises and plenty of worked examples. There is a refinement of smooth ∞ -groupoids to synthetic differential ∞-groupoids. For standard references on differential geometry and Lie groupoids see there. Here differential geometry is developed. Shlomo Sternberg, Group theory and physics, Cambridge University Press 1994. Peter Olver, Equivalence, invariants, and symmetry, Cambridge Univ. Section VIII covers Lie groups and their applications. Topics include: Lie groups & Lie algebras, differential geometry (vector fields, Riemannian metrics, covariant derivatives, geodesics, Killing vector fields), Lie groups and differential equations and the calculus of variations. A control system is called bilinear if it is described by linear differential equations in which the control inputs appear as coefficients. The study of bilinear control systems Its methods and applications cross inter-disciplinary boundaries, proving useful in areas as diverse as spin control in quantum physics and the study of Lie semigroups. Ibragimov, Nail H (1993), CRC Handbook of Lie Group Analysis of Differential Equations Vol. GTM107 Applications of Lie Groups to Differential Equations, Peter J. Press 1995; Applications of Lie groups to differential equations, Springer. GTM108 Holomorphic Functions and Integral Representations in Several Complex Variables, R. Michael Range, FileSonic · FileServe. See SynthDiff∞Grpd for more .