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When originally published in 1952, this book filled a gap in the
history of philosophy and science and remains an important work
today, because it puts the main mathematical and physical
discoveries of Descartes in an accessible form, for the benefit of
English readers. Descartes is acknowledged to be the founder of
modern mathematics, through his invention of analytical geometry
and this volume charts Descartes' role in bringing a unity into
algebra and geometry and the development of mathematics into a
discipline which could be properly analysed. Carefully paraphrasing
the Geometrie, this volume retains much of Descartes' original
notation as well as the original diagrams. The volume also
discusses the considerable contribution that Descartes made to the
physical sciences which involved accurate work in optics, light,
sight and colour.
When originally published in 1952, this book filled a gap in the
history of philosophy and science and remains an important work
today, because it puts the main mathematical and physical
discoveries of Descartes in an accessible form, for the benefit of
English readers. Descartes is acknowledged to be the founder of
modern mathematics, through his invention of analytical geometry
and this volume charts Descartes' role in bringing a unity into
algebra and geometry and the development of mathematics into a
discipline which could be properly analysed. Carefully paraphrasing
the Geometrie, this volume retains much of Descartes' original
notation as well as the original diagrams. The volume also
discusses the considerable contribution that Descartes made to the
physical sciences which involved accurate work in optics, light,
sight and colour.
This fourth volume covers the period which was probably the most
varied of Newton's whole career. The Principia had already
established Newton as the world's foremost mathematician and
natural philosopher. In spite of the abstruse nature of the
mathematical treatment adopted in its pages, the first edition was
rapidly exhausted and, within a very few years, Newton was being
urged to consider the preparation of the second edition. This was
to contain, inter alia, his further researches upon the motion of
the Moon, the solar system, and the behaviour of the comets. Not
until 1694, however, did his thoughts upon this project assume
definite shape. To carry out his plan, he had need of the most
accurate observations available, and for these he turned to the
Observatory at Greenwich, where John Flamsteed had been installed
as King's Astronomer. So came about that close association between
the two men which was to last for many years, though not without
frequent interruptions.
In this NATO-sponsored Advanced Research Workshop we succeeded in
bringing together approximately forty scientists working in the
three main areas of structurally incommensurate materials:
incommensurate crystals (primarily ferroelectric insulators),
incommensurate liquid crystals, and metallic quasi-crystals.
Although these three classes of materials are quite distinct, the
commonality of the physics of the origin and descrip tion of these
incommensurate structures is striking and evident in these
proceedings. A measure of the success of this conference was the
degree to which interaction among the three subgroups occurred;
this was facili tated by approximately equal amounts of theory and
experiment in the papers presented. We thank the University of
Colorado for providing pleasant housing and conference facilities
at a modest cost, and we are especially grate ful to Ann Underwood,
who retyped all the manuscripts into camera-ready form. J. F. Scott
Boulder, Colorado N. A. Clark v CONTENTS PART I: INCOMMENSURATE
CRYSTALS A. Theory A PHENOMENOLOGICAL THEORY OF THE TRANSITION
SEQUENCE INCLUDING AN INCOMMENSURATE (COMMENSURATE) PHASE
SANDWICHED BY REENTRANT COMMENSURATE (INCOMMENSURATE) PHASE -
Yoshihiro Ishibashi . . . . . 1 DAUPHINE-TWIN DOMAIN CONFIGURATIONS
IN QUARTZ AND ALUMINUM PHOSPHATE - M. B. Wa lker . . . . . . . . .
. 9 ELASTIC AND INELASTIC SCATTERING FROM QUASI-PERIODIC STRUCTURES
- T. Janssen and R. Currat . . . . . 19 ARE EXOTIC CONSEQUENCES OF
INCOMMENSURABILITY IN SOLIDS EXPERIMENTALLY OBSERVABLE? - J. B.
Sokoloff. 35 B. Theory - Numerical l1ethods THE APPLICATION OF
AXIAL ISING MODELS TO THE DESCRIPTION OF MODULATED ORDER - Julia
Yeomans . . 45 TWO-DIMENSIONAL MODELS OF
COMMENSURATE-INCOMMENSURATE PHASE TRANSITIONS - Palll D. Beale . .
."
This scarce antiquarian book is a selection from Kessinger
Publishing's Legacy Reprint Series. Due to its age, it may contain
imperfections such as marks, notations, marginalia and flawed
pages. Because we believe this work is culturally important, we
have made it available as part of our commitment to protecting,
preserving, and promoting the world's literature. Kessinger
Publishing is the place to find hundreds of thousands of rare and
hard-to-find books with something of interest for everyone!
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
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