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eBooks de Análisis funcional

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  • A Compact Course on Linear PDEs

    de Alberto Valli ...
    Series series Mathematics and Statistics (R0)
    This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory, saddle point problems, ... Leer más

    $1,182 MXN

  • Connected Sets in Global Bifurcation Theory

    Series series Mathematics and Statistics (R0)
    This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts. Building on Rabinowitz's dichotomy and classical results on Peano continua, the authors introduce "congestion points"—where connected sets fail to be weakly locally connected—and examine the extent to which their ... Leer más

    $909 MXN

  • Trace Inequalities

    For Matrices and Hilbert Space Operators

    Series series Mathematics and Statistics (R0)
    This book is a comprehensive and advanced exploration of trace inequalities in the context of matrices and operators acting on Hilbert spaces. Its goal is to present elegant inequalities with innovative proofs. Instead of presenting generalized versions that can be complicated and lack clarity, the book focuses on beautiful and original inequalities. Divided into eight chapters, this book is ... Leer más

    $1,636 MXN

  • Pseudo-Differential Operators and the Weinstein Transform

    Series series Mathematics and Statistics (R0)
    This book discusses topics on the Fourier transform, Hankel transform, Weinstein transform, and pseudo-differential operators. Targeted to researchers and graduate students, it is useful in the study of the theory of pseudo-differential operators involving the Weinstein transform. This book is also helpful in the study of partial differential equations, wavelet analysis, harmonic analysis, and ... Leer más

    $1,818 MXN

  • A Primer for Mathematical Analysis

    Series series Mathematics and Statistics (R0)
    This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric ... Leer más

    $727 MXN

  • Modern Real Analysis

    Series series Mathematics and Statistics (R0)
    This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and self-contained manner, it features a natural progression of concepts from simple to difficult. Several innovative topics are featured, including differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem ... Leer más

    $1,218 MXN

  • Finite Elements III

    First-Order and Time-Dependent PDEs

    Series series Mathematics and Statistics (R0)
    This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed ... Leer más

    $909 MXN

  • Measure and Integration

    Series series Mathematics and Statistics (R0)
    This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis.Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgue integration. Further chapters cover Fourier series, differentiation, modes of convergence, and ... Leer más

    $636 MXN

  • Pseudo-Differential Operators: Groups, Geometry and Applications

    Edición de M. W. Wong, Hongmei Zhu ...
    Series series Mathematics and Statistics (R0)
    This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015.The twelve papers included present cutting-edge ... Leer más

    $1,818 MXN

  • Introduction to Topology

    Series series Mathematics and Statistics (R0)
    Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology ... Leer más

    $909 MXN

  • Exercises and Problems in Mathematical Methods of Physics

    Series series Physics and Astronomy (R0)
    This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts ... Leer más

    $818 MXN

  • A Primer on Hilbert Space Theory

    Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups

    Series series Physics and Astronomy (R0)
    This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in ... Leer más

    $1,091 MXN

  • Generalized Locally Toeplitz Sequences: Theory and Applications

    Volume II

    Series series Mathematics and Statistics (R0)
    Based on the authors’ research experience, this two-volume reference textbook focuses on the theory of generalized locally Toeplitz sequences and its applications. The first volume discusses the univariate version of the theory and the related applications in the unidimensional setting, while this second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications ... Leer más

    $909 MXN

  • Functional Analysis

    An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

    de Joseph Muscat ...
    Series series Mathematics and Statistics (R0)
    This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates.Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications, ... Leer más

    $1,091 MXN

  • Choquet Integral and Monotone Sublinear Operators

    Series series Mathematics and Statistics (R0)
    This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning. The basic tools include the capacity theory and the Choquet integral, recognized for their usefulness in fields such as potential theory and decision making under risk and uncertainty. The book focuses ... Leer más

    $1,000 MXN