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Books > Science & Mathematics > Mathematics > Algebra
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Quaternion and Clifford Fourier Transforms and Wavelets (Paperback, 2013 ed.)
Loot Price: R5,472
Discovery Miles 54 720
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Quaternion and Clifford Fourier Transforms and Wavelets (Paperback, 2013 ed.)
Series: Trends in Mathematics
Expected to ship within 10 - 15 working days
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Total price: R5,492
Discovery Miles: 54 920
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Quaternion and Clifford Fourier and wavelet transformations
generalize the classical theory to higher dimensions and are
becoming increasingly important in diverse areas of mathematics,
physics, computer science and engineering. This edited volume
presents the state of the art in these hypercomplex
transformations. The Clifford algebras unify Hamilton's quaternions
with Grassmann algebra. A Clifford algebra is a complete algebra of
a vector space and all its subspaces including the measurement of
volumes and dihedral angles between any pair of subspaces.
Quaternion and Clifford algebras permit the systematic
generalization of many known concepts. This book provides
comprehensive insights into current developments and applications
including their performance and evaluation. Mathematically, it
indicates where further investigation is required. For instance,
attention is drawn to the matrix isomorphisms for hypercomplex
algebras, which will help readers to see that software
implementations are within our grasp. It also contributes to a
growing unification of ideas and notation across the expanding
field of hypercomplex transforms and wavelets. The first chapter
provides a historical background and an overview of the relevant
literature, and shows how the contributions that follow relate to
each other and to prior work. The book will be a valuable resource
for graduate students as well as for scientists and engineers.
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