Tensor algebra

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 "Quantum theory, groups and representations - An introduction" includes content: Introduction and overview; the group U(1) and its representations; two state systems and SU(2); linear algebra review, unitary and orthogonal groups; lie algebras and lie algebra representations; the rotation and spin groups in 3 and 4 dimensions; rotations and the spin 12 particle in a magnetic field; representations of SU(2) and so(3) 9 tensor products, entanglement, and addition of spin,... and other contents.

237p muasambanhan07 18-02-2024 2 1   Download

Continued part 1, part 2 of ebook "Introduction to Mathematica for Physicists" provides readers with contents including: Chapter 13 - Packages; Chapter 14 - Plots; Chapter 15 - Trigonometric functions; Chapter 16 - Quantum oscillator; Chapter 17 - Spherical harmonics; Chapter 18 - Adding angular momenta in quantum mechanics; Chapter 19 - Classical nonlinear oscillator; Chapter 20 - Quantum nonlinear oscillator; Chapter 21 - Riemann curvature tensor; Chapter 22 - Multi-functions;...

106p dangsovu 20-10-2023 8 5   Download

Part 1 of ebook "Mathematical physics: Applied mathematics for scientists and engineers" provides readers with contents including: Chapter 1 - A review of vector and matrix algebra using subscript/summation conventions; Chapter 2 - Differential and integral operations on vector and scalar fields; Chapter 3 - Curvilinear coordinate systems; Chapter 4 - Introduction to tensors; Chapter 5 - The dirac δ-function; Chapter 6 - Introduction to complex variables; Chapter 7 - Fourier series; Chapter 8 - Fourier transforms; Chapter 9 - Laplace transforms;...

353p lytamnguyet 04-08-2023 9 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

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 8 3   Download

Part 1 of ebook "Advanced quantum mechanics: Materials and photons" presents the following content: the need for quantum mechanics; self-adjoint operators and eigenfunction expansions; simple model systems; notions from linear algebra and bra-ket notation; formal developments; harmonic oscillators and coherent states; central forces in quantum mechanics; spin and addition of angular momentum type operators;...

330p damtuyetha 09-01-2023 12 3   Download

(bq) part 1 book "an introduction to continuum mechanics" has contents: continuum mechanics, a look forward, background and overview, vector algebra, theory of matrices, vector calculus, tensors, kinematics of continua, stress measures

210p bautroibinhyen19 02-03-2017 43 6   Download

Lectures "Introduction to continuum mechanics" has contents: Notations and tensor algebra, kinematics of finite deformation, balance laws, euclidean objectivity, principle of material frame-indifference, material symmetry, viscoelastic materials,...and other contents.

121p bautroibinhyen19 02-03-2017 46 2   Download

Using a variety of methods developed in the literature (in particular, the theory of weak Hopf algebras), we prove a number of general results about fusion categories in characteristic zero. We show that the global dimension of a fusion category is always positive, and that the S-matrix of any (not necessarily hermitian) modular category is unitary. We also show that the category of module functors between two module categories over a fusion category is semisimple, and that fusion categories and tensor functors between them are undeformable (generalized Ocneanu rigidity).

63p noel_noel 17-01-2013 46 5   Download

We show that a tensor product of irreducible, finite dimensional representations of a simple Lie algebra over a field of characteristic zero determines the individual constituents uniquely. This is analogous to the uniqueness of prime factorisation of natural numbers. 1. Introduction 1.1. Let g be a simple Lie algebra over C. The main aim of this paper is to prove the following unique factorisation of tensor products of irreducible, finite dimensional representations of g:

23p tuanloccuoi 04-01-2013 47 6   Download