METRIC STRUCTURES FOR RIEMANNIAN AND NON RIEMANNIAN SPACES MODERN BIRKHAUSER CLASSICS

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Metric Structures For Riemannian And Non Riemannian Spaces

Author : Mikhail Gromov
ISBN : 9780817645830
Genre : Mathematics
File Size : 85.34 MB
Format : PDF, Docs
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This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index round out this unique and beautiful book.
Category: Mathematics

Modern Approaches To Discrete Curvature

Author : Laurent Najman
ISBN : 9783319580029
Genre : Mathematics
File Size : 41.2 MB
Format : PDF, ePub
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This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics. It includes a vast collection of ideas and tools which will offer something new to all interested readers. Discrete geometry has arisen as much as a theoretical development as in response to unforeseen challenges coming from applications. Discrete and continuous geometries have turned out to be intimately connected. Discrete curvature is the key concept connecting them through many bridges in numerous fields: metric spaces, Riemannian and Euclidean geometries, geometric measure theory, topology, partial differential equations, calculus of variations, gradient flows, asymptotic analysis, probability, harmonic analysis, graph theory, etc. In spite of its crucial importance both in theoretical mathematics and in applications, up to now, almost no books have provided a coherent outlook on this emerging field.
Category: Mathematics

Function Spaces And Partial Differential Equations

Author : Ali Taheri
ISBN : 9780198733133
Genre : Differential equations, Partial
File Size : 42.21 MB
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This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.
Category: Differential equations, Partial

Function Spaces And Partial Differential Equations

Author : Ali Taheri
ISBN : 9780198733157
Genre : Differential equations, Partial
File Size : 24.95 MB
Format : PDF, ePub, Docs
Download : 157
Read : 1005

This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.
Category: Differential equations, Partial

Mathematical Reviews

Author :
ISBN : UOM:39015078588608
Genre : Mathematics
File Size : 26.68 MB
Format : PDF, Kindle
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Category: Mathematics

The Bulletin Of Symbolic Logic

Author :
ISBN : UOM:39015053952878
Genre : Logic, Symbolic and mathematical
File Size : 71.45 MB
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Read : 1182

Category: Logic, Symbolic and mathematical