Theory of Distributions by Svetlin G. Georgiev (auth.)

Calculus: One Variable

For ten variants, readers have became to Salas to profit the tricky techniques of calculus with no sacrificing rigor. The e-book continually offers transparent calculus content material to assist them grasp those ideas and comprehend its relevance to the true global. through the pages, it bargains an ideal stability of concept and purposes to raise their mathematical insights.

History of Vector Analysis

The 1st large-scale examine of the advance of vectorial structures, provided a distinct prize for excellence in 1992 from France’s prestigious Jean Scott origin. strains the increase of the vector idea from the invention of advanced numbers throughout the structures of hypercomplex numbers created through Hamilton and Grassmann to the ultimate reputation round 1910 of the trendy procedure of vector research.

Multi-parameter singular integrals

This publication develops a brand new idea of multi-parameter singular integrals linked to Carnot-Carathéodory balls. Brian highway first info the classical conception of Calderón-Zygmund singular integrals and purposes 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 via doing. We research arithmetic by way of doing difficulties. This publication is the 1st quantity of a chain of books of difficulties in mathematical research. it's more often than not meant for college students learning the fundamental rules of research. even though, given its association, point, and choice of difficulties, it should even be a great selection for academic or problem-solving seminars, really these aimed toward the Putnam examination.