Synopses & Reviews
Fractals and chaos are currently generating excitement across various scientific and medical disciplines. Biomedical investigators, graduate students, and undergraduates are becoming increasingly interested in applying fractals and chaos (nonlinear dynamics) to a variety of problems in biology and medicine. This accessible text lucidly explains these concepts and illustrates their uses with examples from biomedical research. The author presents the material in a very unique, straightforward manner which avoids technical jargon and does not assume a strong background in mathematics. The text uses a step-by-step approach by explaining one concept at a time in a set of facing pages, with text on the left page and graphics on the right page; the graphics pages can be copied directly onto transparencies for teaching. Ideal for courses in biostatistics, fractals, mathematical modeling of biological systems, and related courses in medicine, biology, and applied mathematics, Fractals and Chaos Simplified for the Life Sciences will also serve as a useful resource for scientists in biomedicine, physics, chemistry, and engineering.
Synopsis
This accessible text lucidly explains these concepts and illustrates t heir uses with examples from biomedical research. The author presents the material in a very unique, straightforward manner which avoids tec hnical jargon and does not assume a strong background in mathematics. The text uses a step-by-step approach by explaining one concept at a t ime in a set of facing pages, with text on the left page and graphics on the right page; the graphics pages can be copied directly onto tran sparencies for teaching. Ideal for courses in biostatistics, fractals, mathematical modeling of biological systems, and related courses in m edicine, biology, and applied mathematics, Fractals and Chaos Simplifi ed for the Life Sciences will also serve as a useful resource for scie ntists in biomedicine, physics, chemistry, and engineering.
Synopsis
Fractals and chaos are currently generating excitement across various scientific and medical disciplines. Biomedical investigators, graduate students, and undergraduates are becoming increasingly interested in applying fractals and chaos (nonlinear dynamics) to a variety of problems in biology and medicine. This accessible text lucidly explains these concepts and illustrates their uses with examples from biomedical research. The author presents the material in a very unique, straightforward manner which avoids technical jargon and does not assume a strong background in mathematics. The text uses a step-by-step approach by explaining one concept at a time in a set of facing pages, with text on the left page and graphics on the right page; the graphics pages can be copied directly onto transparencies for teaching. Ideal for courses in biostatistics, fractals, mathematical modeling of biological systems, and related courses in medicine, biology, and applied mathematics, Fractals and Chaos Simplified for the Life Sciences will also serve as a useful resource for scientists in biomedicine, physics, chemistry, and engineering.
Description
Includes bibliographical references (p. 254-255) and index.
Table of Contents
Part I. FRACTALS 1. Introduction
2. Self-Similarity
3. Scaling
4. Dimension
5. Statistical Properties
6. Summary
Part II. CHAOS
1. Introduction
2. Phase Space
3. Sensitivity to Initial Conditions
4. Bifurcations
5. Analyzing Data
6. Control of Chaos
7. Summary
Part III. OTHER METHODS
1. The Big Picture
References
Illustration Credits
Index