Five more golden rules: knots, codes, chaos and other great theories of 20th-century mathematics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 268 S. graph. Darst. |
| ISBN: | 0471395285 0471322334 |
Internformat
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| 245 | 1 | 0 | |a Five more golden rules |b knots, codes, chaos and other great theories of 20th-century mathematics |c John L. Casti |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Chapter 1 The Alexander Polynomial: Knot Theory 1
Knot History, Mathematics ¦ Have Knot, Will Unravel ¦ What Color
Is Your Knot? ¦ Unwinding DNA ¦ Alexander s Great Invariant ¦
Getting Physical ¦ All Tangled Up ¦ Appendix: Knots and Energy
Chapter 2 The Hopf Bifurcation Theorem: 35
Dynamical System Theory
What Is a Dynamical System? ¦ In the Long Run ¦ Stability ¦ At
the Center of Things ¦ Forks in the Flow ¦ Gradient Dynamical Sys¬
tems 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 Ef¬
ficient Markets ¦ Domains of Attraction ¦ A Mountain Is Not a
Cone and a Cloud Is Not a Sphere ¦ Computing the Fractal Dimen¬
sion ¦ The Fractal Dimension of a River Basin ¦ Bach and Fractal
Music ¦ Fractals and Domains of Attraction
Chapter 3 The Kalman Filter: Control Theory 101
Looking for Life ¦ Can You Get There from Here? ¦ The Problem of
Reachability ¦ The Problem of Observation • Complete Observabil¬
ity ¦ Duality ¦ A Nonlinear Interlude ¦ Sharks and Minnows ¦
iii
CONTENTS
Linear Stability Analysis ¦ What s Best? ¦ The Pontryagin Mini¬
mum 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
Chapter 4 The Hahn Banach Theorem: 155
Functional Analysis
The Big Picture ¦ Problems at Infinity ¦ The Tale of Two Coffee
Houses ¦ Spaces and Functionals ¦ Minimum Distances and Maxi¬
mum Profits ¦ The Other Side of a Space ¦ But Does It Exist? ¦
Big Time Operators ¦ Quantum Mechanics and Functional Analysis
¦ The Importance of Being Nonlinear
Chapter 5 The Shannon Coding Theorem: 207
Information Theory
Communication, Information, and Life ¦ Making Codes ¦ Huffing
and Puffing and Squeezing the Message Down ¦ Symbols, Signals,
and Noise ¦ If It Ain t Broken, Fix It Anyway ¦ The Information of
the Genes ¦ Randomness, Information, and Computation ¦ Zipf Up
That Lip ¦ Appendix: Derivation of the Power Law Form of Zipf s
Law
References 255
Index 263
|
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| spelling | Casti, John L. 1943- Verfasser (DE-588)12003817X aut Five more golden rules knots, codes, chaos and other great theories of 20th-century mathematics John L. Casti New York [u.a.] Wiley 2000 IV, 268 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Geschichte 1900-2000 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Mathematik (DE-588)4037944-9 s Geschichte 1900-2000 z DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009478776&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Casti, John L. 1943- Five more golden rules knots, codes, chaos and other great theories of 20th-century mathematics Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4143413-4 |
| title | Five more golden rules knots, codes, chaos and other great theories of 20th-century mathematics |
| title_auth | Five more golden rules knots, codes, chaos and other great theories of 20th-century mathematics |
| title_exact_search | Five more golden rules knots, codes, chaos and other great theories of 20th-century mathematics |
| title_full | Five more golden rules knots, codes, chaos and other great theories of 20th-century mathematics John L. Casti |
| title_fullStr | Five more golden rules knots, codes, chaos and other great theories of 20th-century mathematics John L. Casti |
| title_full_unstemmed | Five more golden rules knots, codes, chaos and other great theories of 20th-century mathematics John L. Casti |
| title_short | Five more golden rules |
| title_sort | five more golden rules knots codes chaos and other great theories of 20th century mathematics |
| title_sub | knots, codes, chaos and other great theories of 20th-century mathematics |
| topic | Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematik Aufsatzsammlung |
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