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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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A Comprehensive Introduction to Sub-Riemannian Geometry (Hardcover)
Loot Price: R5,507
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A Comprehensive Introduction to Sub-Riemannian Geometry (Hardcover)
Series: Cambridge Studies in Advanced Mathematics
Expected to ship within 10 - 15 working days
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Sub-Riemannian geometry is the geometry of a world with
nonholonomic constraints. In such a world, one can move, send and
receive information only in certain admissible directions but
eventually can reach every position from any other. In the last two
decades sub-Riemannian geometry has emerged as an independent
research domain impacting on several areas of pure and applied
mathematics, with applications to many areas such as quantum
control, Hamiltonian dynamics, robotics and Lie theory. This
comprehensive introduction proceeds from classical topics to
cutting-edge theory and applications, assuming only standard
knowledge of calculus, linear algebra and differential equations.
The book may serve as a basis for an introductory course in
Riemannian geometry or an advanced course in sub-Riemannian
geometry, covering elements of Hamiltonian dynamics, integrable
systems and Lie theory. It will also be a valuable reference source
for researchers in various disciplines.
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