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Curvature

Riemannian, sub-Riemannian, Finsler and sub-Finsler spaces. Special attention is paid to the sub-Riemannian (or Carnot-Caratheodory) metric spaces;

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Potential Theory on Sierpinski Carpets

theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpinski carpets. This book;

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Geometric approach to evolution problems in metric spaces

techniques fall within the scope of analysis, probability and metric geometry, while a significant part of the manuscript contributes to the optimal;

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Meshing, Geometric Modeling and Numerical Simulation, Volume 2

in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search;

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Fixed Point Theory for Lipschitzian-Type Mappings with Applications

of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The;

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Geometric Flows on Planar Lattices

This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces;

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Geometric Flows on Planar Lattices

This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces;

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Real Variables with Basic Metric Space Topology

of real analysis.The author encourages an intuitive approach to problem solving and offers concrete examples, diagrams, and geometric or;

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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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Intro To Metric & Topological Spaces 2nd

describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a;

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Topology

introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology;

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General Topology

, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and "geometric topology," covered by nine sections on;

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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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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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Sobolev Spaces On Metric Measure Spaces

Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis;

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Metric Spaces

spaces and continuity of functions defined on a metric space. Chapter seven is devoted to the metric fixed point theory. Banach contraction;

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Metric Structures and Fixed Point Theory

have tried to generalize the definition of metric space and corresponding fixed point theory. This trend still continues. A few questions lying;

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Perturbing Material-Components on Stable Shapes

macroscopic geometric properties (where hyperbolic metric-space subspaces are modeled to be discrete hyperbolic shapes). Thus, it is a description;

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Principles of Topology

geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis.Customary topics of point-set;

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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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Methods of Geometric Analysis in Extension and Trace Problems

geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry;

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A Mathematical Journey to Relativity

is designed for undergraduate students and for all readers who want a first geometric approach to Special and General Relativity.;

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A Mathematical Journey to Relativity

is designed for undergraduate students and for all readers who want a first geometric approach to Special and General Relativity.;

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Generalized Metric Spaces and Mappings

of generalized metric spaces . Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized;

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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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