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Geometry and Analysis of Metric Spaces via Weighted Partitions

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a;

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Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8)

The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.;

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Lectures On Finsler Geometry

of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then;

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Lectures on Nonsmooth Differential Geometry

detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order;

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Lectures on Nonsmooth Differential Geometry

detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order;

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Selected Works I

and one of the main founders of metric geometry, convexity theory and convexity in metric spaces. Busemann also did substantial work (probably;

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Selected Works II

and one of the main founders of metric geometry, convexity theory and convexity in metric spaces. Busemann also did substantial work (probably;

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Geometry and Martingales in Banach Spaces

metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts;

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Geometry and Martingales in Banach Spaces

metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts;

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Minkowski Geometry

. Minkowski Geometry will appeal to students and researchers interested in geometry, convexity theory and functional analysis.;

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Spectral Analysis on Graph-Like Spaces

such as Mathematical Physics, Spectral Geometry and Global Analysis. In this monograph, we analyse Laplace-like operators on thin tubular;

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Elements of Geometry of Balls in Banach Spaces

calculus in normed spaces, approximation theory, weak topologies and reflexivity, general theory of convexity and convex functions, metric fixed;

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Metric and Differential Geometry

metric spaces, Ricci flow, Einstein manifolds, Kahler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most;

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Radon Transforms and the Rigidity of the Grassmannians (AM-156)

>1. The authors exploit the theory of overdetermined partial differential equations and harmonic analysis on symmetric spaces to provide;

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Lectures on Coarse Geometry

Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the;

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Combinatorics of Spreads and Parallelisms

presents a complete analysis of general spreads and partitions of vector spaces that provide groups enabling the construction of subgeometry;

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Geometry and Dynamics in Gromov Hyperbolic Metric Spaces

This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces;

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Metric Spaces

Metric Spaces is intended for undergraduate students offering a course of metric spaces and post graduate students offering a course;

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Lectures on Discrete Geometry

embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.;

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Fuzzy Operator Theory in Mathematical Analysis

theory with applications to fuzzy metric spaces, fuzzy normed spaces, partially ordered fuzzy metric spaces, fuzzy normed algebras, and non;

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Fuzzy Operator Theory in Mathematical Analysis

theory with applications to fuzzy metric spaces, fuzzy normed spaces, partially ordered fuzzy metric spaces, fuzzy normed algebras, and non;

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Intro To Metric & Topological Spaces 2nd

of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by;

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Introduction to the Analysis of Metric Spaces

This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic;

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Potential Theory on Sierpinski Carpets

Sierpinski carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the;

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Moduli of Weighted Hyperplane Arrangements

. Concrete examples are developed that take advantage of the intricate interplay between Algebraic Geometry and Combinatorics. Compactifications;

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Measure, Topology, and Fractal Geometry

treatises on fractal geometry. The book treats such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. It;

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Introduction to Symplectic Geometry

reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.This book is also;

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