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Linear Algebra and Geometry (Paperback)
Loot Price: R1,637
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Linear Algebra and Geometry (Paperback)
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This book on linear algebra and geometry is based on a course given
by renowned academician I.R. Shafarevich at Moscow State
University. The book begins with the theory of linear algebraic
equations and the basic elements of matrix theory and continues
with vector spaces, linear transformations, inner product spaces,
and the theory of affine and projective spaces. The book also
includes some subjects that are naturally related to linear algebra
but are usually not covered in such courses: exterior algebras,
non-Euclidean geometry, topological properties of projective
spaces, theory of quadrics (in affine and projective spaces),
decomposition of finite abelian groups, and finitely generated
periodic modules (similar to Jordan normal forms of linear
operators). Mathematical reasoning, theorems, and concepts are
illustrated with numerous examples from various fields of
mathematics, including differential equations and differential
geometry, as well as from mechanics and physics.
General
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