'In all this book is to be recommended to anyone wishing to learn the mathematical machinery that underlies so much of the modern theory of nonlinear integrable systems.' F. Burstall, Contemporary Physics

• Preface; 1. Introductory data on Lie algebras; 2. Basic notions of differential geometry; 3. Differential geometry of Toda type systems; 4. Toda type systems and their explicit solutions; References; Subject index.

'In all this book is to be recommended to anyone wishing to learn the mathematical machinery that underlies so much of the modern theory of nonlinear integrable systems.' F. Burstall, Contemporary Physics

• Preface; 1. Introductory data on Lie algebras; 2. Basic notions of differential geometry; 3. Differential geometry of Toda type systems; 4. Toda type systems and their explicit solutions; References; Subject index.

'In all this book is to be recommended to anyone wishing to learn the mathematical machinery that underlies so much of the modern theory of nonlinear integrable systems.' F. Burstall, Contemporary Physics

• Preface; 1. Introductory data on Lie algebras; 2. Basic notions of differential geometry; 3. Differential geometry of Toda type systems; 4. Toda type systems and their explicit solutions; References; Subject index.