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This book is intended as a fairly complete presentation of
what..'We call the discretization approach to functional integrals,
i.e. path integrals defined as limits of discretized axpressions.
In its main parts it is based 0n the original work of the authors.
We hope to have provided the readers with a rather complete and
up-to-date bibliography, and we apologize to authors whose work has
not been cited through ignorance ori our part. Our main concern has
been to present a for malism that is practical and which can be
adapted to make computations in the numerous areas where path
integrals are being increasingly used. For these reasons
applications, illustrative examples, and detailed calculations are
included. The book is partially based on lectures given by one of
us (E.T.) at the Institut de Physique Theorique of the u.c.L.
(Louvain-la-Neuve). We thank Dr. M.E. Brachet (University of Paris)
for his help in the redaction of chapter 8. We are indebted to many
of our colleagues and especially to the members of the Instituut
voor Theoretische Fysica, K.U. Leuven for their interest and
encouragement. We also thank Professor Claudio Anguita, Dean of the
Faculty of Physics and Mathematics of .the University of Chile, for
his constant support. Special thanks are due to Christine Detroije
and Lutgarde Dubois for their very fine and hard work in typing the
manuscript."
This book is intended as a fairly complete presentation of
what..'We call the discretization approach to functional integrals,
i.e. path integrals defined as limits of discretized axpressions.
In its main parts it is based 0n the original work of the authors.
We hope to have provided the readers with a rather complete and
up-to-date bibliography, and we apologize to authors whose work has
not been cited through ignorance ori our part. Our main concern has
been to present a for malism that is practical and which can be
adapted to make computations in the numerous areas where path
integrals are being increasingly used. For these reasons
applications, illustrative examples, and detailed calculations are
included. The book is partially based on lectures given by one of
us (E.T.) at the Institut de Physique Theorique of the u.c.L.
(Louvain-la-Neuve). We thank Dr. M.E. Brachet (University of Paris)
for his help in the redaction of chapter 8. We are indebted to many
of our colleagues and especially to the members of the Instituut
voor Theoretische Fysica, K.U. Leuven for their interest and
encouragement. We also thank Professor Claudio Anguita, Dean of the
Faculty of Physics and Mathematics of .the University of Chile, for
his constant support. Special thanks are due to Christine Detroije
and Lutgarde Dubois for their very fine and hard work in typing the
manuscript."
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