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Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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Differential Forms (Paperback)
Loot Price: R1,371
Discovery Miles 13 710
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Differential Forms (Paperback)
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'Guillemin and HaineaEURO (TM)s goal is to construct a
well-documented road map that extends undergraduate understanding
of multivariable calculus into the theory of differential forms.
Throughout, the authors emphasize connections between differential
forms and topology while making connections to single and
multivariable calculus via the change of variables formula, vector
space duals, physics; classical mechanisms, div, curl, grad,
BrouweraEURO (TM)s fixed-point theorem, divergence theorem, and
StokesaEURO (TM)s theorem ... The exercises support, apply and
justify the developing road map.'CHOICEThere already exist a number
of excellent graduate textbooks on the theory of differential forms
as well as a handful of very good undergraduate textbooks on
multivariable calculus in which this subject is briefly touched
upon but not elaborated on enough.The goal of this textbook is to
be readable and usable for undergraduates. It is entirely devoted
to the subject of differential forms and explores a lot of its
important ramifications.In particular, our book provides a detailed
and lucid account of a fundamental result in the theory of
differential forms which is, as a rule, not touched upon in
undergraduate texts: the isomorphism between the Cech cohomology
groups of a differential manifold and its de Rham cohomology
groups.
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