Books

20+ results found
Title Authors Description OpenBook ID
Geometric integration theory Geometric integration theory Steven G. Krantz "This textbook introduces geometric measure theory through the notion of currents. Currents - continuous linear functionals on spaces of differential forms - are a natural language in which to formul… OL1931682W
Analysis and Algebra on Differentiable Manifolds Analysis and Algebra on Differentiable Manifolds Pedro M. Gadea <p>This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian… OL19826216W
Calculus of Variations I Calculus of Variations I Mariano Giaquinta This 2-volume treatise by two of the leading researchers and writers in the field, quickly established itself as a standard reference. It pays special attention to the historical aspects and the orig… OL19832937W
Clifford Algebras and Lie Theory Clifford Algebras and Lie Theory Eckhard Meinrenken This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed present… OL19834862W
Convex Analysis and Nonlinear Geometric Elliptic Equations Convex Analysis and Nonlinear Geometric Elliptic Equations Ilya J. Bakelman This book is suitable as a graduate text and reference work in the areas of convex functions and bodies, global geometric problems, and nonlinear elliptic boundary value problems with special emphasi… OL19837893W
The Evolution Problem in General Relativity The Evolution Problem in General Relativity Sergiu Klainerman,Francesco Nicolo "The global aspects of the problem of evolution equations in general relativity are examined. Central to the work is a revisit of the proof of the global stability of Minkowski space, as presented by… OL19848814W
Finsler Geometry Finsler Geometry Xinyue Cheng <p>"Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of a Riemannian metric and a 1-form. R… OL19850190W
The Floer Memorial Volume The Floer Memorial Volume Helmut Hofer Andreas Floer died on May 15, 1991 an untimely and tragic death. His visions and far-reaching contributions have significantly influenced the developments of mathematics. His main interests centered … OL19850466W
Flow Lines and Algebraic Invariants in Contact Form Geometry Flow Lines and Algebraic Invariants in Contact Form Geometry Abbas Bahri This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gr… OL19850509W
Gauge Field Theory and Complex Geometry Gauge Field Theory and Complex Geometry Yuri Ivanovich Manin From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary … OL19852208W
Gauge Theory and Symplectic Geometry Gauge Theory and Symplectic Geometry Jacques Hurtubise Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developm… OL19852213W
Geometry-Driven Diffusion in Computer Vision Geometry-Driven Diffusion in Computer Vision Bart M. Haar Romeny This seminal book is a primer on geometry-driven, nonlinear diffusion as a promising new paradigm for vision, with an emphasis on the tutorial. It gives a thorough overview of current linear and nonl… OL19852602W
Geometry, Topology and Quantum Field Theory Geometry, Topology and Quantum Field Theory Pratul Bandyopadhyay This monograph deals with the geometrical and topological aspects related to quantum field theory with special reference to the electroweak theory and skyrmions. This book is unique in its emphasis o… OL19852633W
Geometry of Vector Sheaves Geometry of Vector Sheaves Anastasios Mallios This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaf-theoretic… OL19852637W
Higher Order Partial Differential Equations in Clifford Analysis Higher Order Partial Differential Equations in Clifford Analysis Elena Obolashvili This monograph is devoted to new types of higher order PDEs in the framework of Clifford analysis. While elliptic and hyperbolic equations have been studied in the Clifford analysis setting in book a… OL19855269W
The Implicit Function Theorem The Implicit Function Theorem Steven G. Krantz <p>The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit… OL19857023W
A Panoramic View of Riemannian Geometry A Panoramic View of Riemannian Geometry Marcel Berger Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to th… OL19893300W
Topological Crystallography Topological Crystallography Toshikazu Sunada <p>Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyh… OL19907346W
Vector Bundles and Their Applications Vector Bundles and Their Applications Glenys Luke The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with t… OL19909348W
The Ricci flow The Ricci flow Bennett Chow "The Ricci flow method is now central to our understanding of the geometry and topology of manifolds. The book is an introduction to that program and to its connection to Thurston's geometrization co… OL9629777W
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