Download E-books The Geometrical Study of Differential Equations PDF

This quantity includes papers in line with a number of the talks given on the NSF-CBMS convention on 'The Geometrical learn of Differential Equations' held at Howard collage (Washington, DC). The amassed papers current vital fresh advancements during this quarter, together with the remedy of nontransversal team activities within the conception of team invariant strategies of PDEs, a mode for acquiring discrete symmetries of differential equations, the institution of a group-invariant model of the variational complicated in line with a normal relocating body building, the advent of a brand new variational advanced for the calculus of distinction equations and an unique structural research of Lie-Backlund transformations.The booklet opens with a contemporary and illuminating assessment of Lie's line-sphere correspondence and concludes with a number of fascinating open difficulties coming up from symmetry research of PDEs. It bargains a wealthy resource of notion for brand new or proven researchers within the box. This e-book can serve properly as a significant other quantity to ""Selected themes within the Geometrical examine of Differential Equations"", via Niky Kamran, within the ""AMS"" sequence, ""CBMS nearby convention sequence in Mathematics"".

Show description

Read Online or Download The Geometrical Study of Differential Equations PDF

Best Differential Geometry books

Surgery on Simply-Connected Manifolds

This publication is an exposition of the means of surgical procedure on simply-connected gentle manifolds. Systematic research of differentiable manifolds utilizing those rules was once began through Milnor [45] and Wallace [68] and built broadly within the final ten years. it's now attainable to offer a fairly entire idea of simply-connected manifolds of measurement ~ five utilizing this process and that's what i'm going to attempt to commence right here.

Lie Sphere Geometry: With Applications to Submanifolds (Universitext)

Thomas Cecil is a math professor with an unrivalled clutch of Lie Sphere Geometry. right here, he presents a transparent and complete sleek therapy of the topic, in addition to its purposes to the examine of Euclidean submanifolds. It starts off with the development of the gap of spheres, together with the elemental notions of orientated touch, parabolic pencils of spheres, and Lie sphere variations.

The Geometry of Kerr Black Holes (Dover Books on Physics)

This distinctive monograph via a famous UCLA professor examines intimately the math of Kerr black holes, which own the houses of mass and angular momentum yet hold no electric cost. appropriate for complex undergraduates and graduate scholars of arithmetic, physics, and astronomy in addition to specialist physicists, the self-contained remedy constitutes an creation to trendy innovations in differential geometry.

The Penrose Transform: Its Interaction with Representation Theory (Dover Books on Mathematics)

"Brings to the reader an important quantity of knowledge, good prepared and condensed into lower than 2 hundred pages. " — Mathematical ReviewsIn fresh a long time twistor thought has turn into a huge concentration for college students of mathematical physics. primary to twistor idea is the geometrical rework referred to as the Penrose remodel, named for its groundbreaking developer.

Additional info for The Geometrical Study of Differential Equations

Show sample text content

Rated 4.22 of 5 – based on 17 votes