Differential Geometry (Dover Books on Mathematics)

An introductory textbook at the differential geometry of curves and surfaces in 3-dimensional Euclidean area, offered in its easiest, such a lot crucial shape, yet with many explanatory info, figures and examples, and in a way that conveys the theoretical and sensible value of the various ideas, tools and effects concerned.

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

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

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

Dedicated to a big and well known department of recent theoretical and mathematical physics, this ebook introduces using Lie algebra and differential geometry ways to learn nonlinear integrable structures of Toda kind. Many hard difficulties in theoretical physics are regarding the answer of nonlinear structures 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 e-book explains how it is performed. It combines the readability and accessibility of a complicated textbook with the completeness of an encyclopedia.