Preface:
Preface:
In this book we will present a detailed introduction to the geometric method exposed in various
articles we have written about the Jacobian Conjecture. The method is based on elementary
geometry in the euclidean plane, but now we feel that the quantity of results need a structured
and detailed exposition. In particular, the book will allow to illustrate the basic geometry behind
the algebraic results, which often gets lost in the usual format of scientific articles, which have the
requirement to be very concise. The main part of the content of the book is [1].
"The underlying strategy is the minimal counterexample approach. We assume the Jacobian conjecture is false and derive properties which a minimal counterexample must satisfy. The ultimate goal is either a contradiction (proving the conjecture) or an actual counterexample."
Raymond Heitmann