Bypasses: a simple approach to complexity
Demonstrates 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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Chapter One General Introduction
Chapter Two Mathematical Introduction
Chapter Three About This Book
10 other sections not shown
1:1 correspondence algebraic analogy applied arises bypass bypass principle bypass stacking called Chapter clan coefficients collection communication complete computing concerns conjugacy principle conjugate connection defined disjoint domain electric elements ellipse elliptic functions equation Euclidean Euclidean space Euler example exponential exponential generating function expressed Figure Finally finite formula function geometrical given Godel,s i/c bypass Ian Macdonald individual infinite initial instance integer integral transforms inverse iterate Jacquard loom language linear transformation Macdonald mathematical matrix means metaphor method monic polynomials multiplication normal subgroup objects observed obtained occurs operation ordinary ordinary generating function parameter patterned induction perhaps plane polynomial positive integer possible preceding problem produce proof question r-tuples recursion reference reflexness relation reverse schema segment sequence shows signal similar simple solving special relativity structure subgroup subset suitable temporary holding devices Thales theory transformation transmission transport