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Geometry of Derivation with Applications (Hardcover)
Loot Price: R3,060
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Geometry of Derivation with Applications (Hardcover)
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Geometry of Derivation with Applications is the fifth work in a
longstanding series of books on combinatorial geometry (Subplane
Covered Nets, Foundations of Translation Planes, Handbook of Finite
Translation Planes, and Combinatorics of Spreads and Parallelisms).
Like its predecessors, this book will primarily deal with
connections to the theory of derivable nets and translation planes
in both the finite and infinite cases. Translation planes over
non-commutative skewfields have not traditionally had a significant
representation in incidence geometry, and derivable nets over
skewfields have only been marginally understood. Both are deeply
examined in this volume, while ideas of non-commutative algebra are
also described in detail, with all the necessary background given a
geometric treatment. The book builds upon over twenty years of work
concerning combinatorial geometry, charted across four previous
books and is suitable as a reference text for graduate students and
researchers. It contains a variety of new ideas and generalizations
of established work in finite affine geometry and is replete with
examples and applications.
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