Books in category Mathematics – Vector Analysis

  • Geometric Function Theory

    Geometric Function Theory
    Steven G. Krantz

    * 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

    Mathematical Modeling in Biomedical Imaging I
    Habib Ammari

    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

    Bounded and Compact Integral Operators
    David E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi

    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

    Norm Derivatives and Characterizations of Inner Product Spaces
    Claudi Alsina

    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.

  • Sharp Real Part Theorems

    Sharp Real-Part Theorems
    Gershon Kresin, Vladimir Maz’ya

    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.

  • Notions of Convexity

    Notions of Convexity
    Lars Hörmander

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

  • Variational Methods

    Variational Methods
    Michael Struwe

    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

    Optimality Conditions: Abnormal and Degenerate Problems
    Aram Arutyunov

    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

    A First Course in Sobolev Spaces
    Giovanni Leoni

    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

    A Vector Space Approach to Geometry
    Melvin Hausner

    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.

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