Partial Differential Equations and the Calculus of by Jens Frehse (auth.), Ferruccio Colombini, Antonio Marino,

Calculus: One Variable

For ten variants, readers have became to Salas to profit the tough options of calculus with out sacrificing rigor. The e-book regularly offers transparent calculus content material to assist them grasp those options and comprehend its relevance to the true international. during the pages, it deals an ideal stability of conception and functions to raise their mathematical insights.

History of Vector Analysis

The 1st large-scale learn of the improvement of vectorial structures, presented a distinct prize for excellence in 1992 from France’s prestigious Jean Scott starting place. lines the increase of the vector proposal from the invention of advanced numbers during the platforms of hypercomplex numbers created by way of Hamilton and Grassmann to the ultimate recognition round 1910 of the trendy approach of vector research.

Multi-parameter singular integrals

This e-book develops a brand new thought of multi-parameter singular integrals linked to Carnot-Carathéodory balls. Brian road first info the classical idea of Calderón-Zygmund singular integrals and functions to linear partial differential equations. He then outlines the idea of multi-parameter Carnot-Carathéodory geometry, the place the most software is a quantitative model of the classical theorem of Frobenius.

Problems in Mathematical Analysis 1: Real Numbers, Sequences and Series

We examine by way of doing. We examine arithmetic by way of doing difficulties. This ebook is the 1st quantity of a chain of books of difficulties in mathematical research. it truly is often meant for college kids learning the elemental rules of research. besides the fact that, given its association, point, and choice of difficulties, it'll even be a fantastic selection for academic or problem-solving seminars, quite these aimed at the Putnam examination.