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  • Sobolev Spaces on Metric Measure Spaces

    An Approach Based on Upper Gradients

    Series Book 27 - New Mathematical Monographs
    Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of metric measure spaces supporting a Poincaré inequality. This coherent treatment from first principles ... Read more

    $146.79 USD

  • Nonlinear Potential Theory of Degenerate Elliptic Equations

    Series series Dover Books on Mathematics
    A self-contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions.Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and ... Read more

    $17.99 USD

  • Nonlinear Potential Theory of Degenerate Elliptic Equations

    Series series Dover Books on Mathematics
    A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions.Starting with the theory of weighted Sobolev spaces, this treatment advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions ... Read more

    $12.39 USD

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  • The Princeton Companion to Mathematics

    This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and ... Read more

    $79.19 USD

  • Elements of Advanced Mathematical Analysis for Physics and Engineering

    Deep comprehension of applied sciences requires a solid knowledge of Mathematical Analysis. For most of high level scientific research, the good understanding of Functional Analysis and weak solutions to differential equations is essential. This book aims to deal with the main topics that are necessary to achieve such a knowledge. Still, this is the goal of many other texts in advanced analysis; ... Read more

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  • Real Analysis

    Modern Techniques and Their Applications

    Series series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
    An in-depth look at real analysis and its applications-now expanded and revised.This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of ... Read more

    $106.00 USD

  • Geometry Of Crystallographic Groups

    Series Book 4 - Algebra And Discrete Mathematics
    Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups of a crystal (which we imagine to extend to infinity in all directions). The book is divided into two parts. In the first part, the basic theory of crystallographic groups is developed from the very ... Read more

    $31.49 USD

  • Handbook of Measure Theory

    In two volumes

    by E. Pap ...
    The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are ... Read more

    $373.49 USD

  • Linear Algebra As An Introduction To Abstract Mathematics

    This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational ... Read more

    $27.59 USD

  • The Banach–Tarski Paradox

    Series Book 163 - Encyclopedia of Mathematics and its Applications
    The Banach–Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book ... Read more

    $52.49 USD

  • From Euclidean to Hilbert Spaces

    Introduction to Functional Analysis and its Applications

    From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infinite dimensions, noting the fundamental importance of coherence between the algebraic and ... Read more

    $142.00 USD

  • Matrix Completions, Moments, and Sums of Hermitian Squares

    Series series Princeton Series in Applied Mathematics
    Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this quickly developing area of mathematics and applications and gives complete proofs of many recently solved problems. With MATLAB codes and more than 200 exercises, the book is ideal for a special topics course for ... Read more

    $86.39 USD