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Differentiable and Complex Dynamics of Several Variables by Pei-Chu Hu (English)
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Specificaties
- Objectstaat
- ISBN-13
- 9780792357711
- Book Title
- Differentiable and Complex Dynamics of Several Variables
- ISBN
- 9780792357711
- Subject Area
- Mathematics
- Publication Name
- Differentiable and Complex Dynamics of Several Variables
- Publisher
- Springer Netherlands
- Item Length
- 9.3 in
- Subject
- Differential Equations / General, Geometry / Differential, Mathematical Analysis, Complex Analysis
- Publication Year
- 1999
- Series
- Mathematics and Its Applications Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Weight
- 52.9 Oz
- Item Width
- 6.1 in
- Number of Pages
- X, 342 Pages
Over dit product
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
079235771X
ISBN-13
9780792357711
eBay Product ID (ePID)
10038752985
Product Key Features
Number of Pages
X, 342 Pages
Publication Name
Differentiable and Complex Dynamics of Several Variables
Language
English
Subject
Differential Equations / General, Geometry / Differential, Mathematical Analysis, Complex Analysis
Publication Year
1999
Type
Textbook
Subject Area
Mathematics
Series
Mathematics and Its Applications Ser.
Format
Hardcover
Dimensions
Item Weight
52.9 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
99-027065
Dewey Edition
21
Series Volume Number
483
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.94
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.
Synopsis
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., 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.
LC Classification Number
QA614-614.97
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