Books in category Mathematics – Vector Analysis

This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself.

Convex Analysis in General Vector Spaces
The primary aim of this book is to present the conjugate and subdifferential calculus using the method of perturbation functions in order to obtain the most general results in this field.

The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively.

The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. The third edition gives a survey on new developments in the field.

Optimality Conditions: Abnormal and Degenerate Problems
This book is devoted to one of the main questions of the theory of extremal problems, namely, to necessary and sufficient extremality conditions. The book consists of four parts.

A First Course in Sobolev Spaces
This book takes a novel approach to the theory of Sobolev spaces by looking at them as the natural development of monotone, absolutely continuous, and BV functions of one variable.

Growth Theory of Subharmonic Functions
In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables.

A Vector Space Approach to Geometry
This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.

Mathematical Foundation of Geodesy
This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century.

Nonstandard Analysis and Vector Lattices
This volume collects applications of nonstandard methods to the theory of vector lattices.