Bypasses: A Simple Approach to ComplexityDemonstrates how to ``bypass'' a complex problem by breaking it down into several less complex conjugant questions and solving these simpler, component parts. Explores the uses of conjugancy in research, as a unifying teaching device that exploits similarities and analogies across all technical fields, and as a tool of invention and discovery. |
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Contents
Chapter One General Introduction | 3 |
Chapter Two Mathematical Introduction | 17 |
Chapter Three About This Book | 51 |
Copyright | |
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1:1 correspondence algebraic analogy applied bypass bypass principle bypass stacking bypass STS-1 called Chapter clan coefficients collection communication complete computing concerns conjugacy principle conjugate defined domain elements ellipse elliptic functions equation Euclidean Euclidean space example exponential exponential generating function Figure Finally finite formula function geometrical given Gödel Gödel's i/c bypass Ian Macdonald infinite instance integer integral transforms inverse iterate Jacquard loom language linear Macdonald mathematical matrix means metaphor method multiplication normal subgroup objects observed obtained occurs operation ordinary ordinary generating function P₁ parameter patterned induction perhaps plane polynomial positive integer possible preceding problem produce r-tuples Ramsey's theorem recursion reference reflexness relation schema segment sequence shows signal similar simple solving special relativity structure STS-¹ subset suitable T₁ temporary holding devices Thales theorem theory transformation transmission transport