The self avoiding walk is a classical model in statistical mechanics probability theory and mathematical physics It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers This monograph provides an authoritative examination of interacting self avoiding walks presenting aspects of the thermodynamic limit phase behaviour scaling and critical exponents for lattice polygons lattice animals and surfaces It also includes a comprehensive account of constructive methods in models of adsorbing collapsing and pulled walks animals and networks and for models of walks in confined geometries Additional topics include scaling knotting in lattice polygons generating function methods for directed models of walks and polygons and an introduction to the Edwards model This essential second edition includes recent breakthroughs in the field as well as maintaining the older but still relevant topics New chapters include an expanded presentation of directed models an exploration of methods and results for the hexagonal lattice and a chapter devoted to the Monte Carlo methods

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