Fractals In Chemistry
Download Fractals In Chemistry full books in PDF, epub, and Kindle. Read online free Fractals In Chemistry ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Walter G. Rothschild |
Publisher | : Wiley-Interscience |
Total Pages | : 0 |
Release | : 1998-08-18 |
Genre | : Science |
ISBN | : 9780471179689 |
A practical guide to solving problems in chemistry with fractal geometry. It has been two decades since Mandelbrot formulated his revolutionary theories of fractal geometry. Yet, in that brief time, fractals -those strangely beautiful infinite geometric patterns -and the computational processes that give rise to them have become a valued research tool in a broad array of scientific, social-scientific, and commercial fields. While inroads also have been made in applying fractals to theoretical and applied chemistry, there continues to be a dearth of texts and references on the subject. This book helps fill that gap in the literature. Fractals in Chemistry provides chemists with a concise, practical introduction to fractal theory and its applications to a wide range of "bread and butter" issues in chemistry. Drawing upon his considerable experience as a researcher who helped pioneer some of the methods he describes, Walter Rothschild critically appraises the power and limitations of the fractal approach and shows how it can provide more predictive classification schemes and explain phenomena difficult to handle by classical means. Then, with the help of nearly 100 illustrations, he demonstrates how to apply fractals to model chemical phenomena such as adsorption, aggregation, catalysis, chemical reactivity, degradation, and turbulent flames, and how to understand dynamics on fractals in terms of fractons in diffusion-limited reactions, dispersive spectroscopies, and energy transfer. Fractals in Chemistry is both a valuable working resource for professionals in physical chemistry, chemical physics, and computer modeling and an excellent graduate-level text for courses covering the use of fractals in chemistry.
Author | : Andrew Harrison |
Publisher | : Oxford University Press, USA |
Total Pages | : 90 |
Release | : 1995 |
Genre | : Chemistry, Physical and theoretical |
ISBN | : 9780198557678 |
The concept of fractals provides a language to describe the shape and behaviour of a wide variety of irregular objects. Such objects could be as varied as a rugged coastline or the frost patterns on a winter window, and the fractals concept implies that all these diverse objects possess a new form of symmetry. This stimulating book introduces the fractal dimension and describes simple experiments that will bring the principles involved to life in a modestly equipped laboratory. The relevance of the concepts to the structure and chemistry of porous solids, and to the growth of polymers and colloids in liquid and gaseous phases is emphasised.
Author | : K.S. Birdi |
Publisher | : Springer Science & Business Media |
Total Pages | : 269 |
Release | : 2013-06-29 |
Genre | : Science |
ISBN | : 1489911243 |
In this introductory text, Dr. Birdi demonstrates experimental methods and analyses of fractal dimensions in natural processes. In addition to a general overview, he discusses in detail problems in the fields of chemistry, geochemistry, and biophysics. Both students and professionals with a minimum of mathematics or physical science training will learn to find and model shapes and patterns from their own everyday observations.
Author | : Armin Bunde |
Publisher | : Springer |
Total Pages | : 317 |
Release | : 2013-12-21 |
Genre | : Science |
ISBN | : 3642779530 |
A deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.
Author | : Anton Amann |
Publisher | : Springer Science & Business Media |
Total Pages | : 334 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400930054 |
At the end of the workshop on "New Theoretical Concepts in Physical Chemistry", one of the participants made an attempt to present a first impression of its achievements from his own personal standpoint. Appar ently his views reflected a general feeling, so that the organizers thought they would be suitable as a presentation of the proceedings for future readers. That is the background from which this foreword was born. The scope of the workshop is a very broad one. There are contribu tions from mathematics, physics, crystallography, chemistry and biology; the problems are approached either by means of axiomatic and rigorous methods, or at an empirical phenomenological level. This same diversifi cation can be found in the new basic concepts presented. Some arise from pure theoretical investigation in C*-algebra or in quantum probability theory; others from an analysis of very complex experimental data like nuclear energy levels, or processes on the frontier between classical and quantum physics; others again have their origin in the discovery of new ordered structures like the icosahedral crystal phases, or the knots of DNA molecules; others follow from the application of ideas like frac tals or chaos to new fields like spectral theory or chemical reactions. It is to be expected that readers will have to face the same sort of difficulties as did the participants in understanding such diverse languages, in applying themselves to subjects possibly far from their own experience, and in grasping highly sophisticated new concepts.
Author | : Harold M. Hastings |
Publisher | : Oxford University Press, USA |
Total Pages | : 256 |
Release | : 1993 |
Genre | : Language Arts & Disciplines |
ISBN | : |
Fractals: A User's Guide for the Natural Sciences explains Mandelbrot's fractal geometry and describes some of its applications in the natural world. Written to enable students and researchers to master the methods of this timely subject, the book steers a middle course between the formality of many papers in mathematics and the informality of picture-orientated books on fractals. It is both a logically developed text and an essential `fractals for users' handbook.
Author | : Nicola Senesi |
Publisher | : John Wiley & Sons |
Total Pages | : 340 |
Release | : 2008-09-15 |
Genre | : Science |
ISBN | : 0470511192 |
This book aims to provide the scientific community with a novel and valuable approach based on fractal geometry concepts on the important properties and processes of diverse environmental systems. The interpretation of complex environmental systems using modern fractal approaches is compared and contrasted with the more classical approaches. The book will provide the fundamental knowledge necessary for solving practical environmental problems. Furthermore, it examinea how the fractal approach has been applied in order to understand the structure and reactivity of natural, environmental systems including flocs, sediments, soils, microorganisms and humic substances.
Author | : Heinz-Otto Peitgen |
Publisher | : Springer Science & Business Media |
Total Pages | : 1013 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475747403 |
For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.
Author | : L. Pietronero |
Publisher | : Elsevier |
Total Pages | : 489 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0444598413 |
Author | : Philip M. Iannaccone |
Publisher | : CRC Press |
Total Pages | : 448 |
Release | : 1996-07-25 |
Genre | : Science |
ISBN | : 9780849376368 |
Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.