Leseprobe
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Tensor Analysis
Edward Nelson
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Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both the mathematical theory, and the natural phenomenon with its physical interpretations. He continues through recent dynamical theories of Brownian motion, and concludes with a discussion of the relevance of these theories to quantum field theory and quantum statistical mechanics.
Originally published in 1967.
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Kundenbewertungen
Symplectic geometry, Jacobi identity, Riemannian manifold, Associative algebra, Laplace operator, Complexification, Tensor product, Cohomology ring, Tensor, Holonomy, Affine space, Convex combination, Affine connection, Fiber bundle, Quotient algebra, Self-adjoint operator, Lie group, Covariant derivative, Partition of unity, Tangent vector, Big O notation, Free abelian group, Nilpotent Lie algebra, Cohomology, Partial derivative, Special case, Homomorphism, Diagram (category theory), Orthogonal complement, Tensor algebra, Tangent space, Algebra homomorphism, Scalar multiplication, Subgroup, Lie derivative, Self-adjoint, Submanifold, Differentiable manifold, Pseudo-Riemannian manifold, Linear map, Equivalence class, Multiplication theorem, Exterior algebra, Group homomorphism, Curvature tensor, Multilinear algebra, Dual space, Explicit formulae (L-function), Differential form, Commutator, Exterior derivative, Hodge theory, Mixed tensor, Differential geometry, Dual basis, Symmetric group, Diffeomorphism, Elliptic operator, Commutative property, Theorem, Vector field, Betti number, Lie algebra, Projection (linear algebra), Endomorphism, Hermitian adjoint, F-algebra, Dimension (vector space), Symmetric tensor, Tensor field