By Andrew Ranicki
Whitehead torsion, Poincare complexes, round fibrations and quadratic types and formations. whereas focusing on the elemental mechanics of surgical procedure, this e-book contains many labored examples, beneficial drawings for representation of the algebra and references for extra reading.
Read Online or Download Algebraic and Geometric Surgery (Oxford Mathematical Monographs) PDF
Best geometry & topology books
This can be the second one version of this most sensible promoting challenge ebook for college students, now containing over four hundred thoroughly solved workouts on differentiable manifolds, Lie conception, fibre bundles and Riemannian manifolds. The workouts pass from easy computations to particularly refined instruments. a number of the definitions and theorems used all through are defined within the first component of each one bankruptcy the place they seem.
One of many first college-level texts for user-friendly classes in non-Euclidean geometry, this quantity is aimed at scholars accustomed to calculus. subject matters contain the 5th postulate, hyperbolic airplane geometry and trigonometry, and elliptic aircraft geometry and trigonometry. wide appendixes provide history details, and various routines look in the course of the textual content.
Focusing methodologically on these historic elements which are proper to assisting instinct in axiomatic ways to geometry, the publication develops systematic and sleek ways to the 3 middle features of axiomatic geometry: Euclidean, non-Euclidean and projective. traditionally, axiomatic geometry marks the foundation of formalized mathematical job.
Leonid Ryvkin provides a stimulated and self-sustainedintroduction to n-plectic geometry with a different concentrate on symmetries. Therelevant algebraic constructions from scratch are built. the writer generalizesknown symplectic notions, significantly observables and symmetries, to the n-plecticcase, culminating in fixing the life query for co-moment maps forgeneral pre-n-plectic manifolds.
Additional info for Algebraic and Geometric Surgery (Oxford Mathematical Monographs)
Algebraic and Geometric Surgery (Oxford Mathematical Monographs) by Andrew Ranicki