Tensor spaces

Part 1 of ebook "Classical mechanics with Mathematica" provides readers with contents including: Chapter 1 - Vector space and linear maps; Chapter 2 - Tensor algebra; Chapter 3 - Skew-symmetric tensors and exterior algebra; Chapter 4 - Euclidean and symplectic vector spaces; Chapter 5 - Duality and euclidean tensors; Chapter 6 - Differentiable manifolds; Chapter 7 - One-parameter groups of diffeomorphisms; Chapter 8 - Exterior derivative and integration; Chapter 9 - Absolute differential calculus; Chapter 10 - An overview of dynamical systems;...

229p giangdongdinh 28-05-2024 2 2   Download

Part 1 book "A course in modern mathematical physics - Froups, hilbert space and differential geometry" includes content: Sets and structures, groups, vector spaces, linear operators and matrices, inner product spaces, algebras, tensors, exterior algebra, special relativity.

272p muasambanhan10 06-04-2024 4 0   Download

Part 1 book "Mathematical methods for physics and engineering" includes content: Scalars and vectors, tensors, partial differential equations and modelling, symmetries and group theory, function spaces.

359p muasambanhan09 12-03-2024 2 0   Download

Part 1 of ebook "Mathematical methods in Physics: Distributions, Hilbert space operators, variational methods, and applications in quantum physics" provides readers with contents including: spaces of test functions; schwartz distributions; calculus for distributions; distributions as derivatives of functions; tensor products; convolution products; applications of convolution; holomorphic functions; fourier transformation; distributions as boundary values of analytic functions;...

217p lytamnguyet 04-08-2023 7 4   Download

Continued part 1, part 2 of ebook "Mathematical methods in Physics: Distributions, Hilbert space operators, variational methods, and applications in quantum physics" provides readers with contents including: hilbert space operators; inner product spaces and hilbert spaces; geometry of hilbert spaces; separable hilbert spaces; direct sums and tensor products; topological aspects; linear operators; bounded linear operators; special classes of linear operators; elements of spectral theory;...

381p lytamnguyet 04-08-2023 5 4   Download

Part 1 of ebook "Tensor spaces and numerical tensor calculus" provides readers with content including: algebraic tensors; matrix tools; algebraic foundations of tensor spaces; functional analysis of tensor spaces; banach tensor spaces; general techniques; minimal subspaces;...

221p lytamnguyet 04-08-2023 4 3   Download

Continued part 1, part 2 of ebook "Tensor spaces and numerical tensor calculus" provides readers with content including: numerical treatment; r-term representation; tensor subspace representation; r-term approximation; tensor subspace approximation; hierarchical tensor representation; matrix product systems; tensor operations; generalised cross approximation; miscellaneous topics;...

304p lytamnguyet 04-08-2023 10 4   Download

Ebook Complex Analysis and Differential Geometry: Part 2 presents the following content: Tensor Fields in Curvilinear Coordinates; New Spherical Indicatrices and their Characterizations; Developable Surface Fitting to Point Clouds; Local Intrinsic Geometry of Surfaces; Geodesic Curvature and Christoffel Symbols;...Please refer to the documentation for more details.

223p chankora 16-06-2023 6 1   Download

Part 1 of ebook "Quantum field theory III: Gauge theory" provide readers with content about: the euclidean manifold as a paradigm; the euclidean space E3 (hilbert space and lie algebra structure); algebras and duality (tensor algebra, grassmann algebra, clifford algebra, lie algebra); representations of symmetries in mathematics and physics; the euclidean manifold E3; the lie group U(1) as a paradigm in harmonic analysis and geometry;...

589p damtuyetha 16-02-2023 9 3   Download

The porous medium equation arises in different applications to model diffusive phenomena. In this paper, we obtain several gradient estimates for some porous medium type equations on smooth metric measure space with N-Bakry-Emery Ricci tensor bounded from below. In particular, we improve and generalize some current gradient estimates for the porous medium equations.

9p danhdanh27 07-01-2019 20 1   Download

Then we use modular symmetry classes of tensors to study the polynomial representations of GL(V ), where V is a vector space over a field of characterisitic p. At the end we introduce a non-degenerate bilinear form on a modular symmetry class. Some problems are also given.

17p tuongvidanh 06-01-2019 24 1   Download

In this paper we study the multiplicative, tensor, Sobolev and convolution inequalities in certain Banach spaces, the so-called bilateral Grand Lebesque spaces. We also give examples to show the sharpness of these inequalities when possible.

13p tuongvidanh 06-01-2019 19 1   Download

The purpose of this paper is to carry out the abelianization program proposed by Atiyah [1] and Hitchin [9] for the geometric quantization of SU(2) Wess-Zumino-Witten model. Let C be a Riemann surface of genus g. Let Mg be the moduli space of semi-stable rank 2 holomorphic vector bundles on C with trivial determinant. For a positive integer k, let Γ(Mg , Lk ) be the space of holomorphic sections of the k-th tensor product of the determinant line bundle L on Mg . An element of Γ(Mg , Lk ) is called a rank 2 theta function...

50p noel_noel 17-01-2013 59 8   Download

Institute for Theoretical Physics University of California Santa Barbara, CA 93106 carroll@itp.ucsb.edu December 1997 Abstract These notes represent approximately one semester’s worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein’s equations, and three applications: gravitational radiation, black holes, and cosmology. Individual chapters, and potentially updated versions, can be found at http://itp.ucsb.edu/~carroll/notes/. NSF-ITP/97-147 gr-qc/9712019 .i Table of Contents 0.

238p possibletb 23-11-2012 66 8   Download

This book is based on lectures delivered over the years by the author at the Universit´e Pierre et Marie Curie, Paris, at the University of Stuttgart, and at City University of Hong Kong. Its two-fold aim is to give thorough introductions to the basic theorems of differential geometry and to elasticity theory in curvilinear coordinates. The treatment is essentially self-contained and proofs are complete.

215p kimngan_1 06-11-2012 79 2   Download

This book is devoted to the rst acquaintance with the dierential geometry Therefore it begins with the theory of curves in three-dimensional Euclidean spac E. Then the vectorial analysis in E is stated both in Cartesian and curvilinea coordinates, afterward the theory of surfaces in the space E is considered. The newly fashionable approach starting with the concept of a dierentiabl manifold, to my opinion, is not suitable for the introduction to the subject.

132p tiramisu0908 31-10-2012 56 12   Download

Introduction to Differential Geometry and General Relativity Lecture Notes by Stefan Waner, with a Special Guest Lecture by Gregory C. Levine Department of Mathematics, Hofstra University These notes are dedicated to the memory of Hanno Rund. TABLE OF CONTENTS 1. Preliminaries: Distance, Open Sets, Parametric Surfaces and Smooth Functions 2. Smooth Manifolds and Scalar Fields 3. Tangent Vectors and the Tangent Space 4. Contravariant and Covariant Vector Fields 5. Tensor Fields 6. Riemannian Manifolds 7. Locally Minkowskian Manifolds: An Introduction to Relativity 8.

128p khangoc2391 11-08-2012 53 1   Download