Download E-books Differential Geometry: Theory and Applications (Contemporary Applied Mathematics) PDF

This e-book provides the fundamental notions of differential geometry, akin to the metric tensor, the Riemann curvature tensor, the basic different types of a floor, covariant derivatives, and the basic theorem of floor idea in a self-contained and obtainable demeanour. even supposing the sector is usually thought of a classical one, it has lately been rejuvenated, because of the manifold purposes the place it performs a vital position.

The ebook offers a few vital purposes to shells, similar to the speculation of linearly and nonlinearly elastic shells, the implementation of numerical tools for shells, and mesh new release in finite point equipment.

This quantity could be very worthwhile to graduate scholars and researchers in natural and utilized arithmetic.

Contents: An creation to Differential Geometry in three (P G Ciarlet); An advent to Shell concept (P G Ciarlet & C Mardare); a few New effects and present demanding situations within the Finite point research of Shells (D Chapelle); A Differential Geometry method of Mesh new release (P Frey).

Show description

Read or Download Differential Geometry: Theory and Applications (Contemporary Applied Mathematics) PDF

Best Differential Geometry books

Differential Geometry (Dover Books on Mathematics)

An introductory textbook at the differential geometry of curves and surfaces in 3-dimensional Euclidean area, awarded in its easiest, such a lot crucial shape, yet with many explanatory info, figures and examples, and in a fashion that conveys the theoretical and useful significance of the several techniques, tools and effects concerned.

Variational Problems in Differential Geometry (London Mathematical Society Lecture Note Series, Vol. 394)

The sphere of geometric variational difficulties is fast-moving and influential. those difficulties engage with many different parts of arithmetic and feature robust relevance to the research of integrable structures, mathematical physics and PDEs. The workshop 'Variational difficulties in Differential Geometry' held in 2009 on the college of Leeds introduced jointly the world over revered researchers from many various parts of the sphere.

Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics)

Dedicated to an enormous and renowned department of contemporary theoretical and mathematical physics, this ebook introduces using Lie algebra and differential geometry how to learn nonlinear integrable platforms of Toda style. Many difficult difficulties in theoretical physics are on the topic of the answer of nonlinear structures of partial differential equations.

Contact Geometry and Nonlinear Differential Equations (Encyclopedia of Mathematics and its Applications)

Tools from touch and symplectic geometry can be utilized to resolve hugely non-trivial nonlinear partial and traditional differential equations with out resorting to approximate numerical tools or algebraic computing software program. This publication explains how it is performed. It combines the readability and accessibility of a complicated textbook with the completeness of an encyclopedia.

Additional resources for Differential Geometry: Theory and Applications (Contemporary Applied Mathematics)

Show sample text content

Rated 4.37 of 5 – based on 6 votes