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Tensors and Manifolds - With Applications to Physics (Paperback, 2nd Revised edition)
Loot Price: R1,868
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Tensors and Manifolds - With Applications to Physics (Paperback, 2nd Revised edition)
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This book is a new edition of "Tensors and Manifolds: With
Applications to Mechanics and Relativity" which was published in
1992. It is based on courses taken by advanced undergraduate and
beginning graduate students in mathematics and physics, giving an
introduction to the expanse of modern mathematics and its
application in modern physics. It aims to fill the gap between the
basic courses and the highly technical and specialised courses
which both mathematics and physics students require in their
advanced training, while simultaneously trying to promote, at an
early stage, a better appreciation and understanding of each
other's discipline. The book sets forth the basic principles of
tensors and manifolds, describing how the mathematics underlies
elegant geometrical models of classical mechanics, relativity and
elementary particle physics. The existing material from the first
edition has been reworked and extended in some sections to provide
extra clarity, as well as additional problems. Four new chapters on
Lie groups and fibre bundles have been included, leading to an
exposition of gauge theory and the standard model of elementary
particle physics. Mathematical rigour combined with an informal
style makes this a very accessible book and will provide the reader
with an enjoyable panorama of interesting mathematics and physics.
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