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Classification Of Lipschitz Mappings
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Book Synopsis Classification of Lipschitz Mappings by : Lukasz Piasecki
Download or read book Classification of Lipschitz Mappings written by Lukasz Piasecki and published by CRC Press. This book was released on 2016-04-19 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point theory, differential equations, and dynamical systems, the book only requires a basic background in
Book Synopsis Real and Complex Singularities by : Victor Goryunov
Download or read book Real and Complex Singularities written by Victor Goryunov and published by American Mathematical Soc.. This book was released on 2012 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume is a collection of papers presented at the 11th International Workshop on Real and Complex Singularities, held July 26-30, 2010, in Sao Carlos, Brazil, in honor of David Mond's 60th birthday. This volume reflects the high level of the conference discussing the most recent results and applications of singularity theory. Articles in the first part cover pure singularity theory: invariants, classification theory, and Milnor fibres. Articles in the second part cover singularities in topology and differential geometry, as well as algebraic geometry and bifurcation theory: Artin-Greenberg function of a plane curve singularity, metric theory of singularities, symplectic singularities, cobordisms of fold maps, Goursat distributions, sections of analytic varieties, Vassiliev invariants, projections of hypersurfaces, and linearity of the Jacobian ideal."--P. [4] of cover.
Book Synopsis Introduction to Lipschitz Geometry of Singularities by : Walter Neumann
Download or read book Introduction to Lipschitz Geometry of Singularities written by Walter Neumann and published by Springer Nature. This book was released on 2021-01-11 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. While a real or complex algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. The book is aimed at graduate students and researchers from other fields of geometry who are interested in studying the multiple open questions offered by this new subject.
Book Synopsis The Interaction of Analysis and Geometry by : Victor I. Burenkov
Download or read book The Interaction of Analysis and Geometry written by Victor I. Burenkov and published by American Mathematical Soc.. This book was released on 2007 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004), this title includes topics such as geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion, and nonlinear potential theory."
Book Synopsis Nigel J. Kalton Selecta by : Fritz Gesztesy
Download or read book Nigel J. Kalton Selecta written by Fritz Gesztesy and published by Birkhäuser. This book was released on 2016-07-05 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.
Book Synopsis The Topological Classification of Stratified Spaces by : Shmuel Weinberger
Download or read book The Topological Classification of Stratified Spaces written by Shmuel Weinberger and published by University of Chicago Press. This book was released on 1994 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the theory for stratified spaces, along with important examples and applications, that is analogous to the surgery theory for manifolds. In the first expository account of this field, Weinberger provides topologists with a new way of looking at the classification theory of singular spaces with his original results. Divided into three parts, the book begins with an overview of modern high-dimensional manifold theory. Rather than including complete proofs of all theorems, Weinberger demonstrates key constructions, gives convenient formulations, and shows the usefulness of the technology. Part II offers the parallel theory for stratified spaces. Here, the topological category is most completely developed using the methods of "controlled topology." Many examples illustrating the topological invariance and noninvariance of obstructions and characteristic classes are provided. Applications for embeddings and immersions of manifolds, for the geometry of group actions, for algebraic varieties, and for rigidity theorems are found in Part III. This volume will be of interest to topologists, as well as mathematicians in other fields such as differential geometry, operator theory, and algebraic geometry.
Book Synopsis Geometric Nonlinear Functional Analysis by : Yoav Benyamini
Download or read book Geometric Nonlinear Functional Analysis written by Yoav Benyamini and published by American Mathematical Soc.. This book was released on 1998 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic and unified study of geometric nonlinear functional analysis. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to geometric measure theory, probability, classical analysis, combinatorics, and Banach space theory. The main theme of the book is the study of uniformly continuous and Lipschitz functions between Banach spaces (e.g., differentiability, stability, approximation, existence of extensions, fixed points, etc.). This study leads naturally also to the classification of Banach spaces and of their important subsets (mainly spheres) in the uniform and Lipschitz categories. Many recent rather deep theorems and delicate examples are included with complete and detailed proofs. Challenging open problems are described and explained, and promising new research directions are indicated.
Book Synopsis Harmonic Maps Between Riemannian Polyhedra by : James Eells
Download or read book Harmonic Maps Between Riemannian Polyhedra written by James Eells and published by Cambridge University Press. This book was released on 2001-07-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: A research level book on harmonic maps between singular spaces, by renowned authors, first published in 2001.
Book Synopsis Banach Space Theory and its Applications by : A. Pietsch
Download or read book Banach Space Theory and its Applications written by A. Pietsch and published by Springer. This book was released on 2006-11-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) by : Heinrich G W Begehr
Download or read book Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) written by Heinrich G W Begehr and published by World Scientific. This book was released on 2003-08-04 with total page 1556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.
Author :International Society for Analysis, Applications, and Computation. Congress Publisher :World Scientific ISBN 13 :9812794255 Total Pages :737 pages Book Rating :4.8/5 (127 download)
Book Synopsis Progress in Analysis by : International Society for Analysis, Applications, and Computation. Congress
Download or read book Progress in Analysis written by International Society for Analysis, Applications, and Computation. Congress and published by World Scientific. This book was released on 2003-01-01 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting. Contents: .: Volume 1: Function Spaces and Fractional Calculus (V I Burenkov & S Samko); Asymptotic Decomposition (Methods of Small Parameters, Averaging Theory) (J A Dubinski); Integral Transforms and Applications (S Saitoh et al.); Analytic Functionals, Hyperfunctions and Generalized Functions (M Morimoto & H Komatsu); Geometric Function Theory (G Kohr & M Kohr); omplex Function Spaces (R Aulaskari & I Laine); Value Distribution Theory and Complex Dynamics (C C Yang); Clifford Analysis (K Grlebeck et al.); Octonions (T Dray & C Monogue); Nonlinear Potential Theory (O Martio); Classical and Fine Potential Theory, Holomorphic and Finely Holomorphic Functions (P Tamrazov); Differential Geometry and Control Theory for PDEs (B Gulliver et al.); Differential Geometry and Quantum Physics (-); Dynamical Systems (B Fiedler); Attractors for Partial Differential Equations (G Raugel); Spectral Theory of Differential Operators (B Vainberg); Pseudodifferential Operators, Quantization and Signal Analysis (M W Wong); Microlocal Analysis (B-W Schulze & M Korey); Volume 2: Complex and Functional Analytic Methods in PDEs (A Cialdea et al.); Geometric Properties of Solutions of PDEs (R Magnanini); Qualitative Properties of Solutions of Hyperbolic and SchrAdinger Equations (M Reissig & K Yagdjian); Homogenization Moving Boundaries and Porous Media (A Bourgeat & R P Gilbert); Constructive Methods in Applied Problems (P Krutitskii); Waves in Complex Media (R P Gilbert & A Wirgin); Nonlinear Waves (I Lasiecka & H Koch); Mathematical Analysis of Problems in Solid Mechanics (K Hackl & X Li); Direct and Inverse Scattering (L Fishman); Inverse Problems (G N Makrakis et al.); Mathematical Methods in Non-Destructive Evaluation and Non-Destructive Testing (A Wirgin); Numerical Methods for PDEs, Systems and Optimization (A Ben-Israel & I Herrera). Readership: Graduate students and researchers in real, complex, numerical analysis, as well as mathematical physics."
Book Synopsis Progress in Analysis by : Heinrich G. W. Begehr
Download or read book Progress in Analysis written by Heinrich G. W. Begehr and published by World Scientific. This book was released on 2003 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.
Book Synopsis Harmonic Analysis and Partial Differential Equations by : Anatoly Golberg
Download or read book Harmonic Analysis and Partial Differential Equations written by Anatoly Golberg and published by Springer Nature. This book was released on 2023-04-26 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Book Synopsis Fixed Point Theory for Lipschitzian-type Mappings with Applications by : Ravi P. Agarwal
Download or read book Fixed Point Theory for Lipschitzian-type Mappings with Applications written by Ravi P. Agarwal and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields. This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory.
Book Synopsis Singularities in Geometry and Topology by : Jean-Paul Brasselet
Download or read book Singularities in Geometry and Topology written by Jean-Paul Brasselet and published by World Scientific. This book was released on 2007 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
Book Synopsis Singularities in Geometry and Topology by :
Download or read book Singularities in Geometry and Topology written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Courses of Mathematical Analysis I by : A Aizpuru-Tomás
Download or read book Advanced Courses of Mathematical Analysis I written by A Aizpuru-Tomás and published by World Scientific. This book was released on 2004-10-19 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' This volume consists of a collection of articles from experts with a rich research and educational experience. The contributors of this volume are: Y Benyamini, M González, V Müller, S Reich, E Matouskova, A J Zaslavski and A R Palacios. Each of their work is invaluable. For example, Benyamini's is the only updated survey of the exciting and active area of the classification of Banach spaces under uniformly continuous maps while González's article is a pioneer introduction to the theory of local duality for Banach spaces. Contents:Introduction to the Uniform Classification of Banach Spaces (Y Benyamini)An Introduction to Local Duality for Banach Spaces (M González)Orbits of Operators (V Müller)Genericity in Nonexpansive Mapping Theory (E Matoušková et al.)Absolute-Valued Algebras, and Absolute-Valuable Banach Spaces (A R Palacios) Readership: Graduate students and researchers in analysis & differential equations and algebra & number theory. Keywords:Operator Theory;Non-Associative Normed Algebras;Uniform Classification of Banach Spaces;Local Duals;Porosity;Non-Expansive MappingsReviews:“This book contains surveys of some topics of interest in the current research in functional analysis, written by leading experts in the area.”Studia Universitatis Babes-Bolyai, Series Mathematica '
