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Differentiable and Complex Dynamics of Several Variables
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eBay item number:395145627104
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- PublishedOn
- 2010-12-05
- Title
- Differentiable and Complex Dynamics of Several Variables
- ISBN
- 9789048152469
- Publication Year
- 2010
- Series
- Mathematics and Its Applications Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Publication Name
- Differentiable and Complex Dynamics of Several Variables
- Item Length
- 9.3in
- Publisher
- Springer Netherlands
- Item Width
- 6.1in
- Item Weight
- 19 Oz
- Number of Pages
- X, 342 Pages
About this product
Product Information
The development of dynamics theory began with the work of Isaac Newton. In his theory the most basic law of classical mechanics is f = ma, which describes the motion n in IR. of a point of mass m under the action of a force f by giving the acceleration a. If n the position of the point is taken to be a point x E IR., and if the force f is supposed to be a function of x only, Newton's Law is a description in terms of a second-order ordinary differential equation: J2x m dt = f(x). 2 It makes sense to reduce the equations to first order by defining the velo city as an extra n independent variable by v =: i; = E IR. . Then x = v, mv = f(x). L. Euler, J. L. Lagrange and others studied mechanics by means of an analytical method called analytical dynamics. Whenever the force f is represented by a gradient vector field f = - \lU of the potential energy U, and denotes the difference of the kinetic energy and the potential energy by 1 L(x, v) = 2'm(v, v) - U(x), the Newton equation of motion is reduced to the Euler-Lagrange equation are used as the variables, the Euler-Lagrange equation can be If the momenta y written as . 8L y= 8x' Further, W. R.
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
9048152461
ISBN-13
9789048152469
eBay Product ID (ePID)
109148816
Product Key Features
Publication Name
Differentiable and Complex Dynamics of Several Variables
Format
Trade Paperback
Language
English
Publication Year
2010
Series
Mathematics and Its Applications Ser.
Type
Textbook
Number of Pages
X, 342 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
19 Oz
Additional Product Features
Series Volume Number
483
Number of Volumes
1 Vol.
Lc Classification Number
Qa614-614.97
Table of Content
1 Fatou-Julia type theory.- 2 Ergodic theorems and invariant sets.- 3 Hyperbolicity in differentiable dynamics.- 4 Some topics in dynamics.- 5 Hyperbolicity in complex dynamics.- 6 Iteration theory on ?m.- 7 Complex dynamics in ?m.- A Foundations of differentiable dynamics.- B Foundations of complex dynamics.
Copyright Date
1999
Topic
Differential Equations / General, Geometry / Differential, Mathematical Analysis, Complex Analysis
Dewey Decimal
515/.94
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Mathematics
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eBay item number:395145627104
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