Books in category Mathematics – Vector Analysis

* Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, …

Mathematical Modeling in Biomedical Imaging I
This volume details promising analytical and numerical techniques for solving challenging biomedical imaging problems, which trigger the investigation of interesting issues in various branches of mathematics.

Bounded and Compact Integral Operators
The book may be considered as a systematic and detailed analysis of a large class of specific integral operators from the boundedness and compactness point of view.

Norm Derivatives and Characterizations of Inner Product Spaces
The book provides a comprehensive overview of the characterizations of real normed spaces as inner product spaces based on norm derivatives and generalizations of the most basic geometrical properties of triangles in normed spaces.

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.

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.

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.