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 easiest, so much crucial shape, yet with many explanatory info, figures and examples, and in a fashion that conveys the theoretical and functional 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 have interaction with many different components of arithmetic and feature robust relevance to the research of integrable platforms, 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 components of the sector.

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

Dedicated to an incredible and renowned department of recent theoretical and mathematical physics, this e-book introduces using Lie algebra and differential geometry how to examine nonlinear integrable platforms of Toda sort. Many difficult difficulties in theoretical physics are concerning 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 traditional 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.