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, …

  • 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.

  • 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.

  • 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.

  • Undergraduate Convexity

    Undergraduate Convexity
    Mikkel Slot Nielsen, Victor Ulrich Rohde

    This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker.

  • Mathematical Foundation of Geodesy

    Mathematical Foundation of Geodesy
    Kai Borre

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

  • Matrix tensor Methods in Continuum Mechanics

    Matrix-tensor Methods in Continuum Mechanics
    Sidney F. Borg

    The purposes of the text are: To introduce the engineer to the very important discipline in applied mathematics-tensor methods as well as to show the fundamental unity of the different fields in continuum mechanics-with the unifying …

  • Stratified Lie Groups and Potential Theory for Their Sub Laplacians

    Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
    Andrea Bonfiglioli, Ermanno Lanconelli, Francesco Uguzzoni

    This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups.

  • Nonlinear Potential Theory and Weighted Sobolev Spaces

    Nonlinear Potential Theory and Weighted Sobolev Spaces
    Bengt O. Turesson

    The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights.

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