Librería Bonilla. Desde 1950

	Título: A Guide To The Classification Theorem For Compact Surfaces
	Autor: Gallier, Jean, Xu, Dianna	Precio: $821.96
	Editorial: Springer Verlag	Año: 2013
	Tema: Matematicas, Geometria, Computacion	Edición: 1ª
	Sinopsis	ISBN: 9783642343636
	Student-centred guide offering comprehensive_and comprehensible_treatment of the classification theorem for compact surfaces A short proof using graph theory (due to Thomassen) that every compact surface can be triangulated Accessible to undergraduate students without assuming too much background ? This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example. Ideal for students whose mastery of algebraic topology may be a work-in-progress, the text introduces key notions such as fundamental groups, homology groups, and the Euler-Poincaré characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology. Content Level » Lower undergraduate Keywords » Algebraic Topology - Cell complex - Compact Surfaces - Triangulation Related subjects » Geometry & Topology

Sucursal CDMX

Sucursal Cuernavaca