*Take $10 off when you spend $50+! Use code NEWYEAR10. Ends Mon 5 Jan. T&Cs apply.
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Geometric Dynamics - C. Udriste

Geometric Dynamics

By: C. Udriste

eText | 6 December 2012

At a Glance

eText

$84.99

or 4 interest-free payments of $21.25 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.
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.
on
Desktop
Tablet
Mobile

You Can Find This eBook In

Non-FictionMathematicsApplied MathematicsGeometryDifferential & Riemannian GeometryCalculus & Mathematical AnalysisNumerical AnalysisOptimisation

More in Applied Mathematics

Markov Chains : Theory and Applications - C.R. Rao

eBOOK

Markov Chains

Theory and Applications

eBook

RRP $359.04

$323.99

10%
OFF
Grape Explications - Neal D. Hulkower

eBOOK

Grape Explications

eBook

RRP $18.69

$17.99

Mathematics for Engineers - Ritu Shrivastava

eBOOK

Mathematics for Engineers

eBook

$259.99

Discrete Mathematics - Julian Ting

eBOOK

Discrete Mathematics

eBook

$27.03

Pi the Laws of Duality - G. Neal

eBOOK

Pi the Laws of Duality

eBook

$4.99

This product is categorised by