Many of us have been fascinated as children by soap bubbles and soap films.
Their shapes and colours are beautiful and they are great fun to play with.
With no less intensity, scientists and mathematicians have been interested in
the properties of bubbles and films throughout scientific history. In this
book, David Lovett explains the properties of soap films and soap bubbles.
He then uses their properties to illustrate and elucidate a wide range of
physical principles and scientific phenomena in a way which unifies
different concepts. [The book will appeal not only to students and teachers
at school and university but also to readers with a general scientific
interest and to researchers studying soap films.] For the most part simple
school mathematics is used. Sections containing more advanced mathematics
have been placed in boxes and can be skipped by readers without the
appropriate mathematical background.
Table Of Contents:
1 Introduction 1
2 Two-dimensional soap-film patterns 12
3 Soap films and first- and second-order phase transitions 30
4 Soap-film models and catastrophe models 50
5 Film within a wedge - the catenoidal surface 72
6 Soap films within three-dimensional frameworks and minimal surfaces 91
7 Fermat's principle and refraction 112
8 Bubbles 131
9 Analogies within the scientific world 149
App. A.I Construction of the models 166
App. A.II Soap-film patterns by computer using Mathematica 171
* ISBN: 0750302690
* ISBN-13: 9780750302692
* Format: Paperback, 220pp
* Publisher: Taylor & Francis, Inc.
* Pub. Date: January 1994
* Edition Number: 1