This volume presents the written versions of talks delivered at the symposium "The advent of AI in Higher Education" held in Prague, Czechoslovakia, October 23-25, 1989. Contributions review the current impact of AI on the educational process, stressing the problems and needs of universities. Particular systems, projects and methodologies are de scribed with the aim of gathering and generalizing the experience obtained. The latest developments prove that AI offers interesting methods which could be used with success across a wider range in the domain of education. The nature and spirit of AI forms a new phenomenon which necessitates reconsidering the whole educational process. Papers in this volume describe sophisticated tutoring systems as well as suggestions for new curricula.
The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential systems). Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, etc., for any Lagrangian system of any order are presented. The key idea - to build up these theories as related with the class of equivalent Lagrangians - distinguishes this book from other texts on higher-order mechanics. The reader should be familiar with elements of differential geometry, global analysis and the calculus of variations.
This volume presents the written versions of talks delivered at the symposium "The advent of AI in Higher Education" held in Prague, Czechoslovakia, October 23-25, 1989. Contributions review the current impact of AI on the educational process, stressing the problems and needs of universities. Particular systems, projects and methodologies are de scribed with the aim of gathering and generalizing the experience obtained. The latest developments prove that AI offers interesting methods which could be used with success across a wider range in the domain of education. The nature and spirit of AI forms a new phenomenon which necessitates reconsidering the whole educational process. Papers in this volume describe sophisticated tutoring systems as well as suggestions for new curricula.
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