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, such a lot crucial shape, yet with many explanatory information, figures and examples, and in a way that conveys the theoretical and useful significance of the several thoughts, 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 parts of arithmetic and feature powerful relevance to the examine of integrable platforms, mathematical physics and PDEs. The workshop 'Variational difficulties in Differential Geometry' held in 2009 on the collage 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 big and renowned department of recent theoretical and mathematical physics, this e-book introduces using Lie algebra and differential geometry how you can learn nonlinear integrable structures of Toda variety. Many demanding 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)

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