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Fat Manifolds And Linear Connections

The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and;

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Fundamentals of Advanced Mathematics V3

of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and;

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Differential Forms and Connections

multivariate calculus and linear algebra; no knowledge of topology is assumed. The powerful and concise calculus of differential forms is used;

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Introductory Course on Differentiable Manifolds

background in undergraduate mathematics, including multivariable calculus, linear algebra, elementary abstract algebra, and point set topology. More;

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Stochastic Processes in Non-Archimedean Banach Spaces, Manifolds & Topological Groups

groups. Theorems about their transformation properties relative to linear and non-linear mappings of definite types are given.;

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Analysis On Manifolds

calculus and linear algebra. Sections include series of problems to reinforce concepts.;

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Analysis On Manifolds

calculus and linear algebra. Sections include series of problems to reinforce concepts.;

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Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional

This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry. The;

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Differentiable Manifolds

researchers interested in a theoretical physics approach to the subject. Prerequisites include multivariable calculus, linear algebra, and;

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Setting of Linear Analysis on Manifolds

theory and topological classification. For the linear part, the author gathered basic notions from Riemannian geometry, tools from Hilbert space;

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Curvature in Mathematics and Physics

review of the differential and integral calculus on manifolds. A discussion of the fundamental notions of linear connections and their curvatures;

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Piecewise Linear Structures On Topological Manifolds

are piecewise linear triangulations of high-dimensional topological manifolds. Their study culminated in the late 1960searly 1970s in a;

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Initiation to Global Finslerian Geometry

After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the;

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Infinite-Dimensional Manifolds

of subjects, which are essential in mathematical and theoretical physics - Banach spaces, open mapping theorem, splitting, bounded linear mappings;

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Geometric Linear Algebra (Volume 1)

with linear algebra, such as in real and complex analysis, differential equations, differentiable manifolds, differential geometry, Markov;

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Geometric Linear Algebra (Volume 1)

with linear algebra, such as in real and complex analysis, differential equations, differentiable manifolds, differential geometry, Markov;

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Surgery on Compact Manifolds

piecewise linear manifolds (1967), Wall's classification of homotopy tori (1969), and Kirby and Siebenmann's classification theory of topological;

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Topics in Differential Geometry

pages. A prerequisite for using this book is a good knowledge of undergraduate analysis and linear algebra.;

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Geometric Linear Algebra (Volume 2)

with linear algebra, such as in real and complex analysis, differential equations, differentiable manifolds, differential geometry, Markov;

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SemiRiemannian Geometry The Mathematical Language of General Relativity

of General Relativity is an accessible exposition of the mathematics underlying general relativity. The book begins with background on linear and;

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Differential-algebraic Equations

This is the first comprehensive textbook that provides a systematic and detailed analysis of initial and boundary value problems for;

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Embeddings in Manifolds

, and piecewise linear embeddings are locally unknotted. Complete details of the codimension-three proofs, including the requisite piecewise;

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Multiscale Modeling and Homogenization of Reaction-Diffusion Systems Involving Biological Surfaces

homogenization parameter, in particular in case of fast diffusion, are homogenized and are applied in three different biological systems: a linear model;

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Brief Introduction To Symplectic And Contact Manifolds, A

The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains;

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Optimization Algorithms on Matrix Manifolds

techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a;

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Lie Groups

proceeds from there to the Peter- Weyl theorem, Weyl's character formula, and the Borel-Weil theorem, all in the context of linear groups.;

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Manifolds Tensorsnd Forms

Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose;

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