Differential Geometry (Dover Books on Mathematics)

An introductory textbook at the differential geometry of curves and surfaces in 3-dimensional Euclidean house, awarded in its easiest, so much crucial shape, yet with many explanatory information, figures and examples, and in a fashion that conveys the theoretical and functional significance of the various strategies, 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 have interaction 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 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 a tremendous and well known department of contemporary theoretical and mathematical physics, this ebook introduces using Lie algebra and differential geometry how to research nonlinear integrable structures of Toda sort. Many difficult difficulties in theoretical physics are on the topic of the answer of nonlinear platforms 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 unravel hugely non-trivial nonlinear partial and traditional differential equations with no resorting to approximate numerical equipment or algebraic computing software program. This publication explains how it is performed. It combines the readability and accessibility of a sophisticated textbook with the completeness of an encyclopedia.