By Herbert Edelsbrunner
Read or Download A Short Course in Computational Geometry and Topology (SpringerBriefs in Applied Sciences and Technology) PDF
Similar geometry & topology books
This is often the second one variation of this most sensible promoting challenge e-book for college students, now containing over four hundred thoroughly solved routines on differentiable manifolds, Lie conception, fibre bundles and Riemannian manifolds. The workouts cross from straightforward computations to really subtle instruments. a few of the definitions and theorems used all through are defined within the first component to each one bankruptcy the place they seem.
One of many first college-level texts for hassle-free classes in non-Euclidean geometry, this quantity is aimed toward scholars accustomed to calculus. subject matters comprise the 5th postulate, hyperbolic aircraft geometry and trigonometry, and elliptic airplane geometry and trigonometry. broad appendixes provide history details, and diverse workouts look through the textual content.
Focusing methodologically on these old elements which are appropriate to helping instinct in axiomatic techniques to geometry, the ebook develops systematic and sleek techniques to the 3 middle points of axiomatic geometry: Euclidean, non-Euclidean and projective. traditionally, axiomatic geometry marks the foundation of formalized mathematical task.
Leonid Ryvkin provides a stimulated and self-sustainedintroduction to n-plectic geometry with a distinct concentrate on symmetries. Therelevant algebraic constructions from scratch are constructed. the writer generalizesknown symplectic notions, particularly 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 A Short Course in Computational Geometry and Topology (SpringerBriefs in Applied Sciences and Technology)
A Short Course in Computational Geometry and Topology (SpringerBriefs in Applied Sciences and Technology) by Herbert Edelsbrunner