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The textbook Geometry, published in French by CEDICjFernand Nathan
and in English by Springer-Verlag (scheduled for 1985) was very
favorably re ceived. Nevertheless, many readers found the text too
concise and the exercises at the end of each chapter too difficult,
and regretted the absence of any hints for the solution of the
exercises. This book is intended to respond, at least in part, to
these needs. The length of the textbook (which will be referred to
as B] throughout this book) and the volume of the material covered
in it preclude any thought of publishing an expanded version, but
we considered that it might prove both profitable and amusing to
some of our readers to have detailed solutions to some of the
exercises in the textbook. At the same time, we planned this book
to be independent, at least to a certain extent, from the textbook;
thus, we have provided summaries of each of its twenty chapters,
condensing in a few pages and under the same titles the most
important notions and results, used in the solution of the
problems. The statement of the selected problems follows each
summary, and they are numbered in order, with a reference to the
corresponding place in B]. These references are not meant as
indications for the solutions of the problems. In the body of each
summary there are frequent references to B], and these can be
helpful in elaborating a point which is discussed too cursorily in
this book."
The textbook Geometry, published in French by CEDICjFernand Nathan
and in English by Springer-Verlag (scheduled for 1985) was very
favorably re ceived. Nevertheless, many readers found the text too
concise and the exercises at the end of each chapter too difficult,
and regretted the absence of any hints for the solution of the
exercises. This book is intended to respond, at least in part, to
these needs. The length of the textbook (which will be referred to
as B] throughout this book) and the volume of the material covered
in it preclude any thought of publishing an expanded version, but
we considered that it might prove both profitable and amusing to
some of our readers to have detailed solutions to some of the
exercises in the textbook. At the same time, we planned this book
to be independent, at least to a certain extent, from the textbook;
thus, we have provided summaries of each of its twenty chapters,
condensing in a few pages and under the same titles the most
important notions and results, used in the solution of the
problems. The statement of the selected problems follows each
summary, and they are numbered in order, with a reference to the
corresponding place in B]. These references are not meant as
indications for the solutions of the problems. In the body of each
summary there are frequent references to B], and these can be
helpful in elaborating a point which is discussed too cursorily in
this book."
tens sowie der Bruchspannung und Festigkeit, immer wieder ergiinzt
durch molekulare und andere Modellvorstellungen. Es folgt dann ein
Ka- pitel mit kritischen Betrachtungen uber die technologischen
Priifmetho- den. In den folgenden drei Kapiteln werden die
Zusammenhiinge zwischen der Struktur und den mechanischen
Eigenschaften von kautschukartigen und plastischen Korpern sowie
von Faserstoffen behandelt. Dabei sind nur solche Untersuchungen
berucksichtigt, die fUr die Entwicklung un- serer Kenntnisse der
Eigenschaften hochpolymerer Korper und fUr das Verstiindnis ihrer
Beziehungen zur molekularen Struktur von allgemeiner Bedeutung
sind. Derartige Untersuchungen sind aber nur an relativ wenigen
Stoffen durchgefUhrt worden. Den Zusammenhiingen zwischen Struktur
und elektrischen Eigen- schaften ist, ebenso wie der
Weichmacherwirkung und ihrer molekularen Deutung, ein besonderes
Kapitel gewidmet. SchlieBlich wurden im letzten Kapitel einige
allgemeine Zusammenhiinge zwischen der molekularen Struktur und den
makroskopischen Eigenschaften von hochpolymeren Korpern
herausgestellt. Hierbei kann es sich nur urn einen ersten Ver- such
handeln, der zu weiteren Arbeiten anregen moge. Es ist mir eine
Freude, allen Mitarbeitern fUr ihre Mitwirkung und fUr ihr Eingehen
auf die Wunsche des Herausgebers vielmals zu danken, insbesondere
den Herren STAVERMAN und SCHWARZL, die wesentlich dazu beigetragen
haben, daB dieser Band in der gewunschten Form und rechtzeitig
erscheinen konnte. Herr O. FUCHS, Hochst, hat auch bei diesem Bande
die gesamte Kor- rektur mitgelesen und manchen
Verbesserungsvorschlag gemacht, wofUr ihm auch im Namen der
Mitarbeiter herzlich gedankt sei.
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