Chaos, Dynamics, and Fractals by Joseph L Mccauley
This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.
' a very readable account … an excellent introduction to fractals and deterministic chaos …' Chemistry in Britain
'very well written' Journal of the Association of C and C++ Users
'very well written' Journal of the Association of C and C++ Users
McCauley, Joseph: - Joseph McCauley lived one block from the Grand River Avenue and Greenfield Road intersection between 1951 and 1978. He went on to study journalism at Wayne State University and has retired after 30 years of service with the US Postal Service in Royal Oak. In addition to local archives, this collection of images was curated from the albums of many who remain nostalgic for the old neighborhood.
| SKU | Unavailable |
| ISBN 13 | 9780521467476 |
| ISBN 10 | 0521467470 |
| Title | Chaos, Dynamics, and Fractals |
| Author | Joseph L Mccauley |
| Series | Cambridge Nonlinear Science Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 1994-05-26 |
| Number of pages | 348 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |