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Multiplicative Differential Geometry (Hardcover)
Loot Price: R3,193
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Multiplicative Differential Geometry (Hardcover)
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This book introduces multiplicative Frenet curves. We define
multiplicative tangent, multiplicative normal, and multiplicative
normal plane for a multiplicative Frenet curve. We investigate the
local behaviours of a multiplicative parameterized curve around
multiplicative biregular points, define multiplicative Bertrand
curves and investigate some of their properties. A multiplicative
rigid motion is introduced. The book is addressed to instructors
and graduate students, and also specialists in geometry,
mathematical physics, differential equations, engineering, and
specialists in applied sciences. The book is suitable as a textbook
for graduate and under-graduate level courses in geometry and
analysis. Many examples and problems are included. The author
introduces the main conceptions for multiplicative surfaces:
multiplicative first fundamental form, the main multiplicative
rules for differentiations on multiplicative surfaces, and the main
multiplicative regularity conditions for multiplicative surfaces.
An investigation of the main classes of multiplicative surfaces and
second fundamental forms for multiplicative surfaces is also
employed. Multiplicative differential forms and their properties,
multiplicative manifolds, multiplicative Einstein manifolds and
their properties, are investigated as well. Many unique
applications in mathematical physics, classical geometry, economic
theory, and theory of time scale calculus are offered.
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