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Books > Science & Mathematics > Mathematics > Algebra
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Linear Algebra and Analytic Geometry for Physical Sciences (Paperback, 1st ed. 2018)
Loot Price: R2,872
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Linear Algebra and Analytic Geometry for Physical Sciences (Paperback, 1st ed. 2018)
Series: Undergraduate Lecture Notes in Physics
Expected to ship within 10 - 15 working days
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A self-contained introduction to finite dimensional vector spaces,
matrices, systems of linear equations, spectral analysis on
euclidean and hermitian spaces, affine euclidean geometry,
quadratic forms and conic sections. The mathematical formalism is
motivated and introduced by problems from physics, notably
mechanics (including celestial) and electro-magnetism, with more
than two hundreds examples and solved exercises.Topics include: The
group of orthogonal transformations on euclidean spaces, in
particular rotations, with Euler angles and angular velocity. The
rigid body with its inertia matrix. The unitary group. Lie algebras
and exponential map. The Dirac's bra-ket formalism. Spectral theory
for self-adjoint endomorphisms on euclidean and hermitian spaces.
The Minkowski spacetime from special relativity and the Maxwell
equations. Conic sections with the use of eccentricity and
Keplerian motions. An appendix collects basic algebraic notions
like group, ring and field; and complex numbers and integers modulo
a prime number.The book will be useful to students taking a physics
or engineer degree for a basic education as well as for students
who wish to be competent in the subject and who may want to pursue
a post-graduate qualification.
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