Getting Acquainted With Fractals The first instance of pre-computer fractals was noted by the French mathematician Gaston Julia. He wondered what a complex polynomial function would look like, such as the ones named after him (in the form of z2 + c, where c is a complex constant with real and imaginary parts). The idea behind this formula is that one takes the x and y coordinates... A Passion for Mathematics: Numbers, Puzzles, Madness, Religion, and the Quest for Reality
A Passion for Mathematics is an educational, entertaining trip through the curiosities of the math world, blending an eclectic mix of history, biography, philosophy, number theory, geometry, probability, huge numbers, and mind-bending problems into a delightfully compelling collection that is sure to please math buffs, students, and...
The Topology of Chaos: Alice in Stretch and Squeezeland (German Edition)
The subject of this book is chaos as seen through the filter of topology. The origin of
this book lies in the analysis of data generated by a dynamical system operating in
a chaotic regime. Throughout this book we develop topological tools for analyzing
chaotic data and then show how they are applied to experimental data sets.
The Artful Universe Expanded Our love of art, writes John Barrow, is the end product of millions of years of evolution. How we react to a beautiful painting or symphony draws upon instincts laid down long before humans existed. Now, in this enhanced edition of the highly popular The Artful Universe, Barrow further explores the close ties between our aesthetic appreciation and... The Fractal Geometry of Nature 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...
Grammatical Picture Generation: A Tree-Based Approach This book introduces the reader to the notions, the techniques, and the theory of grammatical picture generation, a research field focusing on formal systems that describe sets of pictures by means of syntactic rules. The book presents important types of picture generators, using a tree-based approach to stress their common algorithmic basis, the... Electrochemistry of Porous Materials
Porous materials continue to attract considerable attention because of their wide variety of scientific and technological applications, such as catalysis, shape- and size-selective absorption and adsorption, gas storage, and electrode materials. Both research and applications of porous materials—via electroanalysis, electrosynthesis,...
Mastering Algorithms with Perl Many programmers would love to use Perl for projects that involve heavy lifting, but miss the many traditional algorithms that textbooks teach for other languages. Computer scientists have identified many techniques that a wide range of programs need, such as:
- Fuzzy pattern matching for text (identify misspellings!)
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