Name: A Primer on Smooth Manifolds (en Inglés)
Price: 123.19 USD
Availability: InStock
Author: Vitagliano, Luca
ISBN: 9789811283949

portada A Primer on Smooth Manifolds (en Inglés)

A Primer on Smooth Manifolds (en Inglés)

Formato

Libro Físico

Autor

Luca Vitagliano

Editorial

World Scientific Publishing Company

Idioma

Inglés

N° páginas

300

Encuadernación

Tapa Dura

Dimensiones

22.9 x 15.2 x 1.8 cm

Peso

0.57 kg.

ISBN13

9789811283949

Categorías

Cálculo
Geometría diferencial y riemanniana

A Primer on Smooth Manifolds (en Inglés)

Luca Vitagliano (Autor) · World Scientific Publishing Company · Tapa Dura

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Reseña del libro "A Primer on Smooth Manifolds (en Inglés)"

Differential Geometry is one of the major branches of current Mathematics, and it is an unavoidable language in modern Physics. The main characters in Differential Geometry are smooth manifolds: a class of geometric objects that locally behave like the standard Euclidean space.The book provides a first introduction to smooth manifolds, aimed at undergraduate students in Mathematics and Physics. The only prerequisites are the Linear Algebra and Calculus typically covered in the first two years. The presentation is as simple as possible, but it does not sacrifice the rigor.The lecture notes are divided into 10 chapters, with gradually increasing difficulty. The first chapters cover basic material, while the last ones present more sophisticated topics. The definitions, propositions, and proofs are complemented by examples and exercises. The exercises, which include part of the proofs, are designed to help the reader learn the language of Differential Geometry and develop their problem-solving skills in the area. The exercises are also aimed at promoting an active learning process. Finally, the book contains pictures which are useful aids for the visualization of abstract geometric situations. The lecture notes can be used by instructors as teaching material in a one-semester course on smooth manifolds.