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
Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds Anatoliy K. Prykarpatsky This book is unique in providing a detailed exposition of modern Lie-algebraic theory of integrable nonlinear dynamic systems on manifolds and its applications to mathematical physics, classical mech… OL19825408W
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
Finite Möbius Groups, Minimal Immersions of Spheres, and Moduli Finite Möbius Groups, Minimal Immersions of Spheres, and Moduli Gabor Toth "Spherical soap bubbles", isometric minimal immersions of round spheres into round spheres, or spherical immersions for short, belong to a fast growing and fascinating area between algebra and geomet… OL19850171W
Fundamentals of Finslerian Diffusion with Applications Fundamentals of Finslerian Diffusion with Applications P. L. Antonelli This is the first text to be published on stochastic Finslerian geometry.The theory is rigorously presented and several applications in ecology, evolution and epidemiology are described. Amongst the … OL19851786W
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
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
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
Recent Trends in Lorentzian Geometry Recent Trends in Lorentzian Geometry Miguel Sánchez <p>Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniqu… OL19898961W
Representation Theory and Noncommutative Harmonic Analysis II Representation Theory and Noncommutative Harmonic Analysis II A. A. Kirillov This EMS volume contains two contributions: the first one, "Harmonic Analysis on Homogeneous Spaces", is written by V.F.Molchanov, the second one, "Representations of Lie Groups and Special Functions… OL19899616W
Supersymmetry and Equivariant de Rham Theory Supersymmetry and Equivariant de Rham Theory Victor W. Guillemin Equivariant cohomology in the framework of smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Brüning and V. M. Guillemin. The point of departure are t… OL19904989W
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
Ridges in Image and Data Analysis Ridges in Image and Data Analysis D. Eberly,David Eberly This book provides a thorough development of ridges and their application to image and data analysis. The text is self-contained by including a chapter on the necessary mathematical background, chapt… OL3341242W
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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