Differential Geometry (Dover Books on Mathematics)

An introductory textbook at the differential geometry of curves and surfaces in 3-dimensional Euclidean house, offered in its least difficult, so much crucial shape, yet with many explanatory information, figures and examples, and in a way that conveys the theoretical and functional value of the several techniques, equipment 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 robust 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 alternative components of the sphere.

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

Dedicated to a tremendous and renowned department of recent theoretical and mathematical physics, this e-book introduces using Lie algebra and differential geometry ways to learn nonlinear integrable structures of Toda style. Many tough difficulties in theoretical physics are relating to 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 unravel hugely non-trivial nonlinear partial and usual differential equations with out resorting to approximate numerical tools or algebraic computing software program. This e-book explains how it really is performed. It combines the readability and accessibility of a complicated textbook with the completeness of an encyclopedia.