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Reality Rules Picturing the World in Mathematics--The Frontier (volume2)

by John L. Casti

  • ISBN: 9780471577980
  • ISBN10: 0471577987

Reality Rules Picturing the World in Mathematics--The Frontier (volume2)

by John L. Casti

  • List Price: $135.00
  • Binding: Hardcover
  • Publisher: John Wiley & Sons Inc
  • Publish date: 07/01/1992
  • ISBN: 9780471577980
  • ISBN10: 0471577987
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Description: Mathematical modeling is about rules the rules of reality. Reality Rules explores the syntax and semantics of the language in which these rules are written, the language of mathematics. Characterized by the clarity and vision typical of the author s previous books, Reality peting dialects of this language in the form of mathematical models of real-world phenomena that researchers use today to frame their views of reality. Moving from the irreducible basics of modeling to the upper reaches of scientific and philosophical speculation, Volumes I and II, The Fundamentals and The Frontier, are ideal complementary texts, equally matched in difficulty, yet unique in their coverage of issues central to the contemporary modeling of complex systems. The Frontier introduces a number of application areas and/or associated techniques of modeling that complement the ideas presented in The Fundamentals. Chapter 5 shows how dynamical system theory and concepts from game theory can be brought together to shed new light on problems of population biology and ecology. This chapter also gives a mathematical account of the controversial problem of sociobiology. Chapter 6 introduces the notion of control system within the confines of linear processes. The ideas of reachability and observability are given special emphasis and used to illustrate how " good" models are constructed directly from observed data. Chapter 7 deals with the selection mechanism for inputs that, are chosen to maximize o minimize some measure of system performance, while Chapter 8 addresses the ways in which patterns in art, literature, and other fields outside of the natural sciences can be formulated inmeaningful mathematical terms. Chapter 9 focuses on computation, showing why there is no difference between a computer program, a dynamical system, and a deductive logical system. The practical tutorial design of Reality Ru
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