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Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
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First Steps in Differential Geometry - Riemannian, Contact, Symplectic (Paperback, Softcover reprint of the original 1st ed. 2013)
Loot Price: R3,005
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First Steps in Differential Geometry - Riemannian, Contact, Symplectic (Paperback, Softcover reprint of the original 1st ed. 2013)
Series: Undergraduate Texts in Mathematics
Expected to ship within 10 - 15 working days
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Differential geometry arguably offers the smoothest transition from
the standard university mathematics sequence of the first four
semesters in calculus, linear algebra, and differential equations
to the higher levels of abstraction and proof encountered at the
upper division by mathematics majors. Today it is possible to
describe differential geometry as "the study of structures on the
tangent space," and this text develops this point of view. This
book, unlike other introductory texts in differential geometry,
develops the architecture necessary to introduce symplectic and
contact geometry alongside its Riemannian cousin. The main goal of
this book is to bring the undergraduate student who already has a
solid foundation in the standard mathematics curriculum into
contact with the beauty of higher mathematics. In particular, the
presentation here emphasizes the consequences of a definition and
the careful use of examples and constructions in order to explore
those consequences.
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