Download e-book for iPad: An Introduction to Riemannian Geometry: With Applications to by Leonor Godinho,José Natário

By Leonor Godinho,José Natário

Unlike many different texts on differential geometry, this textbook additionally deals fascinating functions to geometric mechanics and common relativity.

The first half is a concise and self-contained creation to the fundamentals of manifolds, differential varieties, metrics and curvature. the second one half experiences purposes to mechanics and relativity together with the proofs of the Hawking and Penrose singularity theorems. it may be independently used for one-semester classes in both of those subjects.

The major principles are illustrated and additional built through various examples and over three hundred workouts. distinctive ideas are supplied for lots of of those workouts, making An creation to Riemannian Geometry excellent for self-study.

Show description

Read or Download An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext) PDF

Best mechanics books

Get Elasticity: Theory, Applications, and Numerics PDF

Even though there are numerous books in print facing elasticity, many concentrate on really good issues reminiscent of mathematical foundations, anisotropic fabrics, two-dimensional difficulties, thermoelasticity, non-linear idea, and so forth. As such they don't seem to be applicable applicants for a basic textbook. This ebook presents a concise and arranged presentation and improvement of normal idea of elasticity.

Kai-Uwe Schmitt,Peter F. Niederer,Markus H. Muser,Felix Walz's Trauma-Biomechanik: Verletzungen in Straßenverkehr und Sport PDF

Trauma-Biomechanik untersucht die Reaktion und Toleranz von Gewebe auf severe mechanische Belastungen. Dabei ist das Verständnis der mechanischen Faktoren entscheidend, um Maßnahmen zur Verhinderung von Verletzungen zu entwickeln. Die Autoren beschäftigen sich intensiv mit den Verletzungsarten, die durch Verkehrs- und Sportunfälle verursacht werden.

Read e-book online Fluctuations and Non-Linear Wave Interactions in Plasmas: PDF

Fluctuations and Non-linear Wave Interactions in Plasmas talks a few idea of fluctuations in a homogenous plasma. The identify takes into account non-linear wave interactions. The textual content first offers the statistical description of plasma, after which proceeds to overlaying non-linear electrodynamic equations.

Read e-book online The Plane Wave Spectrum Representation of Electromagnetic PDF

The aircraft Wave Spectrum illustration of Electromagnetic Fields provides the idea of the electromagnetic box with emphasis to the aircraft wave. This ebook explains how primary electromagnetic fields will be represented through the superstition of aircraft waves touring in numerous instructions. equipped into elements encompassing 8 chapters, this publication starts off with an outline of the tools wherein airplane wave spectrum illustration can be utilized in attacking diversified attribute difficulties belonging to the theories of radiation, diffraction, and propagation.

Additional resources for An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext)

Sample text

Download PDF sample

An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext) by Leonor Godinho,José Natário


by John
4.5

Rated 4.37 of 5 – based on 19 votes