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Clouds are not spheres, mountains are not cones, and lightening does not travel in a straight line. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.
Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations. Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric figure with an infinitely large perimeter, yet with a finite area. This is an example of the kind of mathematical puzzles that this book addresses. The Fractal Geometry of Nature is a mathematics text. But buried in the deltas and lambdas and integrals, even a layperson can pick out and appreciate Mandelbrot's point: that somewhere in mathematics, there is an explanation for nature. It is not a coincidence that fractal math is so good at generating images of cliffs and shorelines and capillary beds.
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The Fractal Geometry of Nature
4.0 / 5.0 (18 ratings)
$32.06
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Elementary Statistics (11th Edition)
Mario Triola’s Elementary Statistics remains the market-leading introductory statistics textbook because it engages readers with an abundance of real data in the examples, applications, and exercises. Statistics is all around us in our daily lives, and Triola is dedicated to finding new real-world examples and data sets that make sense for today’s reader. The Eleventh Edition contains more than 2000 exercises, 87% of which are new, and 82% of which use real data. It also contains hundreds of examples, 86% of which are new and 94% of which use real data. By analyzing real data, students are able to connect abstract concepts to the world at large. As a result, they gain conceptual understanding and learn to think statistically, using the same methods that professional statisticians employ.
Introduction to Statistics; Summarizing and Graphing Data; Statistics for Describing, Exploring, and Comparing Data; Probability; Discrete Probability Distributions; Normal Probability Distributions; Estimates and Sample Sizes; Hypothesis Testing; Inferences from Two Samples; Correlation and Regression; Goodness-of-Fit and Contingency Tables; Analysis of Variance; Nonparametric Statistics; Statistics Process Control; Projects, Procedures, Perspectives
For all readers interested in introductory statistics.
Mathematics With Applications by Margaret L. Lial (Hardcover - Addison-Wesley)
Trigonometry by Michael Sullivan (PACKAGE - Prentice Hall)
Introduction to Logic by Irving M. Copi (Hardcover - Prentice Hall)
Mathematical Statistics And Data Analysis by John A. Rice (PACKAGE - Duxbury Pr)
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