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Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
Matrix Mathematics - Theory, Facts, and Formulas, Second Edition
Mathematics Probability, Markov Chains, Queues, and Simulation - The Mathematical Basis of Performance Modeling
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-Mathematics for the Physical Sciences- by Herbert S. Wilf
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Computer-Enabled Mathematics - Integrating Experiment and Theory in Teacher Education
How to Fold It - The Mathematics of Linkages, Origami and Polyhedra
Mathematics Engineering Analysis: Interactive Methods and Programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica [Repost]
Mathematics Maverick Mathematician: The Life and Science of J.E. Moyal
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Topology (Allyn and Bacon Series in Advanced Mathematics) by James Dugundji
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Cellular Automata: A Discrete View of the World (Wiley Series in Discrete Mathematics
Posted on 2010-04-29
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More Joel L. Schiff, "Cellular Automata: A Discrete View of the World" The field of cellular automata (CA) is one that appears to be finite, yet unlimited, although it is a point of major debate. Where the ultimate conclusion lands depends on the fundamental origin of complexity, in particular that of intelligence. Some very sound thinkers argue that the universe itself is a complex CA, all of the phenomena we see are fundamentally explainable by a set of simple rules whereby actions are a consequence of state changes based on those rules. The apparent complexity that we perceive is due to the enormous number of objects that are involved and the number of different interactions that take place between them. Cellular automata became an area of mainstream study when the Game of Life was developed. The fascinating feature of the game is that a small set of such simple rules can lead to what appear to be complex individual and collective behaviors. Schiff begins with the definitions of basic cellular automata, steps through the appearance of complexity and closes with some of the major arguments in favor of the literally universal applicability of CA. The level of mathematics is fairly low; the most complex areas are the recurrence equations that define the next state and a few partial derivatives. With some additional explanation, the material is within the grasp of the second year math major. Most of the more complex mathematics can be skipped and the reader will still be able to understand and appreciate what CA are and some of the ways they can be used to model complex activities. This is the text I would use if I were to ever teach a special topics class in CA. Please appreciate my work, download from my references!!!
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