home libri books Fumetti ebook dvd top ten sconti 0 Carrello


Torna Indietro

feldman david p. - chaos and fractals

Chaos and Fractals An Elementary Introduction




Disponibilità: Normalmente disponibile in 20 giorni
A causa di problematiche nell'approvvigionamento legate alla Brexit sono possibili ritardi nelle consegne.


PREZZO
142,98 €
NICEPRICE
135,83 €
SCONTO
5%



Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.


Pagabile anche con Carta della cultura giovani e del merito, 18App Bonus Cultura e Carta del Docente


Facebook Twitter Aggiungi commento


Spese Gratis

Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 08/2012





Note Editore

This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated functions. Fractals are introduced as self-similar geometric objects and analyzed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia Sets and the Mandelbrot Set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations. The book is richly illustrated and includes over 200 end-of-chapter exercises. A flexible format and a clear and succinct writing style make it a good choice for introductory courses in chaos and fractals.




Sommario

0 - Opening Remarks
1 - Functions
2 - Iterating Functions
3 - Qualitative Dynamics
4 - Time Series Plots
5 - Graphical Iteration
6 - Iterating Linear Functions
7 - Population Models
8 - Newton, Laplace, and Determinism
9 - Chaos and the Logistic Equation
10 - The Buttery Effect
11 - The Bifurcation Diagram
12 - Universality
13 - Statistical Stability of Chaos
14 - Determinism, Randomness, and Nonlinearity
15 - Introducing Fractals
16 - Dimensions
17 - Random Fractals
18 - The Box-Counting Dimension
19 - When do Averages exist?
20 - Power Laws and Long Tails
20 - Introducing Julia Sets
21 - Infinities, Big and Small
22 - Introducing Julia Sets
23 - Complex Numbers
24 - Julia Sets for f(z) = z2 + c
25 - The Mandelbrot Set
26 - Two-Dimensional Discrete Dynamical Systems
27 - Cellular Automata
28 - Introduction to Differential Equations
29 - One-Dimensional Differential Equations
30 - Two-Dimensional Differential Equations
31 - Chaotic Differential Equations and Strange Attractors
32 - Conclusion
A - Review of Selected Topics from Algebra
B - Histograms and Distributions
C - Suggestions for Further Reading




Autore

David Feldman joined the faculty at College of the Atlantic in 1998, having completed a PhD in Physics at the University of California. He served as Associate Dean for Academic Affairs from 2003 - 2007. At COA Feldman has taught over twenty different courses in physics, mathematics, and computer science. Feldman's research interests lie in the fields of statistical mechanics and nonlinear dynamics. In his research, he uses both analytic and computational techniques. Feldman has authored research papers in journals including Physical Review E, Chaos, and Advances in Complex Systems. In 2011-12 he was a U.S. Fulbright Lecturer in Kigali, Rwanda.










Altre Informazioni

ISBN:

9780199566433

Condizione: Nuovo
Dimensioni: 248 x 26.5 x 195 mm Ø 1098 gr
Formato: Copertina rigida
Illustration Notes:306 b/w line drawings, 31 b/w halftones
Pagine Arabe: 432


Dicono di noi