|
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
|
Buy Now
Geometric Dynamics (Paperback, Softcover reprint of the original 1st ed. 2000)
Loot Price: R1,601
Discovery Miles 16 010
|
|
|
Geometric Dynamics (Paperback, Softcover reprint of the original 1st ed. 2000)
Series: Mathematics and Its Applications, 513
Expected to ship within 10 - 15 working days
|
Geometric dynamics is a tool for developing a mathematical
representation of real world phenomena, based on the notion of a
field line described in two ways: -as the solution of any Cauchy
problem associated to a first-order autonomous differential system;
-as the solution of a certain Cauchy problem associated to a
second-order conservative prolongation of the initial system. The
basic novelty of our book is the discovery that a field line is a
geodesic of a suitable geometrical structure on a given space
(Lorentz-Udri~te world-force law). In other words, we create a
wider class of Riemann-Jacobi, Riemann-Jacobi-Lagrange, or
Finsler-Jacobi manifolds, ensuring that all trajectories of a given
vector field are geodesics. This is our contribution to an old open
problem studied by H. Poincare, S. Sasaki and others. From the
kinematic viewpoint of corpuscular intuition, a field line shows
the trajectory followed by a particle at a point of the definition
domain of a vector field, if the particle is sensitive to the
related type of field. Therefore, field lines appear in a natural
way in problems of theoretical mechanics, fluid mechanics, physics,
thermodynamics, biology, chemistry, etc.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
