Mathematics Of Models: Continuous And Discrete Dynamical Systems (ellis Horwood Series In Mathematics & Its Applications)

1. Introduction: How To Use This Book -- 2. Discrete Dynamics -- 3. Growth And Decay; Some Calculus Models -- 4. Calculus And Some Classical Models -- 5. Plane Curves -- 6. Control Space And Phase Space: Polynomial Functions -- 7. Quadratics, Conics, And Quadrics -- 8. Contours: The Implicit Function Theorem -- 9. Non-linear Models -- 10. Discrete Non-linear Dynamics -- 11. Catastrophe Sets In Modelling -- A Using Technology To Help Gain Mathematical Insights -- B Linear Mathematics In R[superscript 3] -- C The Exponential Function And Its Relatives -- D Functions Of Several Variables -- E Smooth Mappings, Diffeomorphisms, And Integration -- F Norms, Sequences, And Contracting Mappings. H. Brian Griffiths, Adrian Oldknow. Includes Bibliographical References And Index.