Ch. 1. Introduction to Fractals. 1.1. Fractals in Physics and Chemistry. 1.2. A Simple Fractal Shape [Personal Computer (PC)-Drawn Fractal Program]. 1.3. Basic Concepts and Terminology in Fractals. 1.3.1. Definition of the Fractal Dimension. 1.3.2. Self-similarity and Fractal Behavior. 1.3.2.1. Exact Fractals. 1.3.2.2. Statistical Fractals: Random Walk. 1.3.3. Fractal Structures. 1.3.4. Diverse Self-similar Fractals. 1.4. Fractal Dimension of Clouds, Rivers, and Coastlines: Length-Area-Volume Relations (Scaling Fractals). 1.4.1. Box-Counting Fractal Method. 1.4.2. Rivers: Shapes and Fractal Dimension. 1.4.3. Fractal Shapes of Clouds. 1.4.4. Branching of Trees and Fractal Dimension. 1.4.5. Plants and Insects: Fractal of Size and Shapes. 1.4.6. Coastlines: Fractal Dimension. 1.5. Basic Mathematics of Chaos. 1.5.1. Noise: Fractal Dimension. 1.5.2. Cantor Set (and Dust) and Devil's Staircase. 1.5.3. Nonlinear Dynamics and Chaos

Ch. 2. Fractal Viscous Fingers. 2.1. Introduction. 2.1.1. Apparatus and Experimental Procedure. 2.1.2. Viscous Finger Width and the Cell Separation. 2.2. Determination of Fractal Dimension of Viscous Fingers. 2.3. Instability of the Diffusion Front.

2.3.1. Newtonian Finger Formation and Noise. 2.3.2. Branching Angle and Finger Stability. 2.4. Chemical Dissolution of Porous Medium

Ch. 3. Colloidal Fractal Aggregates. 3.1. Colloidal Aggregation. 3.2. Gelation (A Flocculation Phenomenon). 3.3. Geometrical Floc Structures. 3.4. Electrodeposition and Aggregation. 3.5. Phase Transition and Critical Point. 3.6. Percolation and Cluster Size Distribution: Basic Concepts

Ch. 4. Dendrite Growth and Fractal Dimension. 4.1. Experimental Methods for Making Dendrites in the Laboratory. 4.2. Fractal Growth in Lipid Monolayers. 4.3. Fractal Character of Interfaces

Ch. 5. Porous Solid Media (Fractal Surfaces). 5.1. Oil Recovery Processes. 5.2. Fractal Surfaces of Solid Porous Media. 5.3. Molecular Fractal Surfaces. 5.3.1. Porosity and Adsorption. 5.3.2. Molecular Fractal Surfaces. 5.4. Estimation of Pore and Surface Analyses of Solids: Fractal Surface. 5.5. Reactive Fractal Solid Surfaces. 5.6. Fractal Dimension at Fluid-Solid Interface (Wettability and Contact Angle). 5.7. Gel (Fractal) Chromatography. 5.8. Application of Fractal Chromatography to Biology

Ch. 6. Fractals and Geochemistry. 6.1. Zipf's Law.

6.1.1. Estimation of Mineral Reserves and Pollutant Levels. 6.1.2. Soil and Atmospheric Pollution

Ch. 7. Galaxy Clusters and Fractals. 7.1. Dynamical Models of Neptune's Dark Spot and Other Phenomena. 7.2. Diameter Distribution of Craters and Asteroids

Ch. 8. Fractal Analyses of Macromolecules. 8.1. Fractal Nature of Polymers. 8.2. Surface Adsorption of Polymers and Biopolymers. 8.3. Fractals and Protein Structure. 8.4. Fractal Analyses of Adsorption (of Vapors) on Polymers

Ch. 9. Biological Systems (Cells, Lungs, Heart). 9.1. Fractal Nature of Heartbeat. 9.2. Mammalian Brain Size Fractal

Ch. 10. Diverse Fractal Systems. 10.1. Ecological and Economic Cycles and Fractals. 10.2. Distribution of Wealth. 10.3. Cellular Automata. 10.4. Fractal Interfaces in Diffusion and Corrosion. 10.5. Reaction Kinetics and Fractals. 10.6. Diverse Chaotic Phenomena. 10.7. Thin-Film Deposition. 10.8. Thermodynamics of Equilibrium Potential and Fractal Dimension. 10.9. Liquid Droplet Growth and Evaporation by Diffusion and Fractal Dimension

Ch. 11. Physical Applications of Fractals

Appendix A: Computer Fractal Programs. A.1. Computer Program for Dragon. A.2. Computer Construction of Cantor Set.

A.3. Diverse Algorithms for Computing Fractals

Appendix B: Basic Aspects of Brownian Motion.