Singularities of Plane Curves (London Mathematical Society by Eduardo Casas-Alvero

By Eduardo Casas-Alvero

This ebook offers a entire and self-contained exposition of the algebro-geometric conception of singularities of airplane curves, protecting either its classical and its glossy points. The e-book provides a unified therapy, with entire proofs, featuring sleek effects that have basically ever seemed in examine papers. It updates and properly proves a few vital classical effects for which there has been previously no compatible reference, and contains new, formerly unpublished effects in addition to functions to algebra and algebraic geometry. This e-book may be important as a reference textual content for researchers within the box. it's also compatible as a textbook for postgraduate classes on singularities, or as a supplementary textual content for classes on algebraic geometry (algebraic curves) or commutative algebra (valuations, whole ideals).

Show description

Read or Download Singularities of Plane Curves (London Mathematical Society Lecture Note Series) PDF

Similar geometry & topology books

Finsler Geometry: An Approach via Randers Spaces

"Finsler Geometry: An process through Randers areas" solely offers with a different category of Finsler metrics -- Randers metrics, that are outlined because the sum of a Riemannian metric and a 1-form. Randers metrics derive from the examine on normal Relativity thought and feature been utilized in lots of components of the traditional sciences.

Mathematical Concepts

The most goal of this e-book is to explain and strengthen the conceptual, structural and summary deliberating arithmetic. particular mathematical buildings are used to demonstrate the conceptual strategy; offering a deeper perception into mutual relationships and summary universal good points. those principles are rigorously inspired, defined and illustrated by way of examples in order that some of the extra technical proofs will be passed over.

Modern General Topology (Bibliotheca Mathematica)

Bibliotheca Mathematica: a chain of Monographs on natural and utilized arithmetic, quantity VII: sleek normal Topology specializes in the methods, operations, rules, and ways hired in natural and utilized arithmetic, together with areas, cardinal and ordinal numbers, and mappings. The ebook first elaborates on set, cardinal and ordinal numbers, simple strategies in topological areas, and numerous topological areas.

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal services, Fractal Surfaces, and Wavelets, moment version, is the 1st systematic exposition of the speculation of neighborhood iterated functionality structures, neighborhood fractal capabilities and fractal surfaces, and their connections to wavelets and wavelet units. The e-book relies on Massopust’s paintings on and contributions to the idea of fractal interpolation, and the writer makes use of a couple of tools—including research, topology, algebra, and likelihood theory—to introduce readers to this fascinating topic.

Additional info for Singularities of Plane Curves (London Mathematical Society Lecture Note Series)

Example text

Download PDF sample

Rated 4.05 of 5 – based on 38 votes