Differential Geometry (Dover Books on Mathematics)

An introductory textbook at the differential geometry of curves and surfaces in third-dimensional Euclidean house, provided in its least difficult, so much crucial shape, yet with many explanatory info, figures and examples, and in a fashion that conveys the theoretical and functional value of different innovations, 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 robust relevance to the research 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 sector.

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

Dedicated to a major and renowned department of recent theoretical and mathematical physics, this e-book introduces using Lie algebra and differential geometry the right way to examine nonlinear integrable structures of Toda variety. Many hard difficulties in theoretical physics are regarding the answer of nonlinear platforms 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 traditional differential equations with out resorting to approximate numerical tools or algebraic computing software program. This booklet explains how it truly is performed. It combines the readability and accessibility of a sophisticated textbook with the completeness of an encyclopedia.