Differential Geometry (Dover Books on Mathematics)

An introductory textbook at the differential geometry of curves and surfaces in third-dimensional Euclidean house, offered in its easiest, so much crucial shape, yet with many explanatory information, figures and examples, and in a fashion that conveys the theoretical and useful significance of the various recommendations, equipment 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 have interaction with many different parts of arithmetic and feature powerful relevance to the research of integrable platforms, mathematical physics and PDEs. The workshop 'Variational difficulties in Differential Geometry' held in 2009 on the collage of Leeds introduced jointly across the world revered researchers from many various components of the sector.

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

Dedicated to an incredible and renowned department of contemporary theoretical and mathematical physics, this ebook introduces using Lie algebra and differential geometry the way to learn nonlinear integrable platforms of Toda variety. Many hard difficulties in theoretical physics are relating to the answer of nonlinear platforms of partial differential equations.

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

Equipment from touch and symplectic geometry can be utilized to unravel hugely non-trivial nonlinear partial and usual differential equations with no resorting to approximate numerical tools or algebraic computing software program. This booklet explains how it is performed. It combines the readability and accessibility of a sophisticated textbook with the completeness of an encyclopedia.