دانلود کتاب Five more golden rules : knots, codes, chaos, and other great theories of 20th century mathematics

توضیحاتی در مورد کتاب به زبان اصلی :

The Alexander Polynomial: Knot Theory --
Knot History, Mathematics --
Have Knot, Will Unravel --
What Color Is Your Knot? --
Unwinding DNA --
Alexander's Great Invariant --
Getting Physical --
All Tangled Up --
Knots and Energy --
The Hopf Bifurcation Theorem: Dynamical System Theory --
What Is a Dynamical System? --
In the Long Run --
Stability --
At the Center of Things --
Forks in the Flow --
Gradient Dynamical Systems and Elementary Catastrophes --
A Strangeness in the Attraction --
Up, Up, Down and Away --
The Lyapunov Exponents --
Chaos among the Planets --
The Correlation Dimension --
Gold Bugs and Efficient Markets --
Domains of Attraction --
A Mountain Is Not a Cone and a Cloud Is Not a Sphere --
Computing the Fractal Dimension --
The Fractal Dimension of a River Basin --
Bach and Fractal Music --
Fractals and Domains of Attraction --
The Kalman Filter: Control Theory --
Looking for Life --
Can You Get There from Here? --
The Problem of Reachability --
The Problem of Observation --
Complete Observability --
Duality --
A Nonlinear Interlude --
Sharks and Minnows --
Linear Stability Analysis --
What's Best? --
The Pontryagin Minimum Principle --
Feedback Control and Dynamic Programming --
The Minimum Principle versus Dynamic Programming --
Getting the Best of It --
State Estimation --
The Kalman Filter --
Duality--Yet Again --
The Hahn-Banach Theorem: Functional Analysis --
The Big Picture --
Problems at Infinity --
The Tale of Two Coffee Houses --
Spaces and Functionals --
Minimum Distances and Maximum Profits