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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Topology, Geometry and Gauge fields - Foundations (Paperback, Softcover reprint of hardcover 2nd ed. 2011)
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Topology, Geometry and Gauge fields - Foundations (Paperback, Softcover reprint of hardcover 2nd ed. 2011)
Series: Texts in Applied Mathematics, 25
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Like any books on a subject as vast as this, this book has to have
a point-of-view to guide the selection of topics. Naber takes the
view that the rekindled interest that mathematics and physics have
shown in each other of late should be fostered, and that this is
best accomplished by allowing them to cohabit. The book weaves
together rudimentary notions from the classical gauge theory of
physics with the topological and geometrical concepts that became
the mathematical models of these notions. The reader is asked to
join the author on some vague notion of what an electromagnetic
field might be, to be willing to accept a few of the more
elementary pronouncements of quantum mechanics, and to have a solid
background in real analysis and linear algebra and some of the
vocabulary of modern algebra. In return, the book offers an
excursion that begins with the definition of a topological space
and finds its way eventually to the moduli space of anti-self-dual
SU(2) connections on S4 with instanton number -1.
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