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Invariant theory is a subject within abstract algebra that studies
polynomial functions which do not change under transformations from
a linear group. John Hilton Grace (1873 1958) was a research
mathematician specialising in algebra and geometry. He was elected
a Fellow of the Royal Society in 1908. His co-author Dr Alfred
Young (1873 1940) was also a research mathematician before being
ordained in 1908; in 1934 he too was elected a Fellow of the Royal
Society. Abstract algebra was one of the new fields of study within
mathematics which developed out of geometry during the nineteenth
century. It became a major area of research in the late nineteenth
and early twentieth centuries. First published in 1903, this book
introduced the work on invariant theory of the German
mathematicians Alfred Clebsch and Paul Gordan into British
mathematics. It was considered the standard work on the subject.
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