9781461477327
IR
EN-52418
انگلیسی
IR
First Steps in Differential Geometr
[Book]
:Riemannian, Contact, Symplectic
/ by Andrew McInerney
New York, NY
: Springer New York :Imprint: Springer,
, 2013.
XIII, 410 p. 54 illus., 25 illus. in color., online resource.
(Undergraduate Texts in Mathematics,0172-6056)
Electronic
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.
Basic Objects and Notation -- Linear Algebra Essentials -- Advanced Calculus -- Differential Forms and Tensors -- Riemannian Geometry -- Contact Geometry -- Symplectic Geometry -- References -- Index.?╗╣
Undergraduate Texts in Mathematics,0172-6056
Mathematics
Global analysis
Global differential geometry
Cell aggregation, Mathematics
Electronic books
E-BOOK
McInerney, Andrew.
SpringerLink (Online service)
ایران
9781461477310.pdf
عادی
عادی
9781461477310.pdf
متن
old catalog
e
BL
1
a
Y
