Electronic Resource

First steps in differential geometry : Riemannian, contact, symplectic

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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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Ketersediaan

Informasi Detail

Judul Seri

Undergraduate texts in mathematics

No. Panggil

E610

Penerbit

New York : Springer., 2013

Deskripsi Fisik

xiii, 410 hlm.

Bahasa

English

ISBN/ISSN

9781461477327

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

1

Subjek

Geometri Diferensial

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Andrew McInerney

Versi lain/terkait

Lampiran Berkas

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