This classic monograph by a mathematician affiliated with Trinity
College, Cambridge, offers a brief account of the invariant theory
connected with a single quadratic differential form. Suitable for
advanced undergraduates and graduate students of mathematics, it
avoids unnecessary analysis and offers an accessible view of the
field for readers unfamiliar with the subject.
A historical overview is followed by considerations of the methods
of Christoffel and Lie as well as Maschke's symbolic method and
explorations of geometrical and dynamical methods. The final
chapter on applications, which draws upon developments by Ricci and
Levi-Civita, presents the most successful method and can be read
independently of the rest of the book.
General
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