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Category Archives: books
Lectures in Geometry – Semester 5 Lie Groups and Lie Algebras – Postnikov
In this post, we will see the book Lectures in Geometry – Semester 5 Lie Groups and Lie Algebras by M. Postnikov. This book is the first one of a five part Lectures in Geometry series. So far we have volumes … Continue reading
Posted in books, mathematics, mir books, mir publishers, soviet
Tagged ado theorem, Campbell-Hausdorff series, Canonical coordinates, cartan theorem, cayley construction, Clifford algebra, cohomologies, Cohomologies of Lie algebras, coverings, De Rham cohomologies, Doubling of algebras, Dynkin polynomials, engel theorem, Free associative algebras, Friedrichs theorem, hilbert's fifth problem, hopf algebras, integral manifolds, isomophisms, jordan decomposition, Killing’s functional, levi theorem, lie algebras, lie groups, linear differential operators, mathematics, matrix lie groups, Matrix representations of Clifford algebras, Metric algebras, nil-radical of a Lie algebra, Nilpotent Lie algebras, Normed algebras., Poincaré-Birkhoff-Witt theorem, Schur’s lemma, sub-algebras, sub-fiberings, subgroups, topological groups, Trace functional, whitehead theorem
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Lectures in Geometry – Semester 2 Linear Algebra and Differential Geometry – Postnikov
In this post, we will see the book Lectures in Geometry – Semester 2 Linear Algebra and Differential Geometry by M. Postnikov. This book is the first one of a five part Lectures in Geometry series. So far we have … Continue reading
Posted in books, mathematics, mir books, mir publishers, soviet
Tagged adjoint operators, angles on a surface, annulet, bilinear functionals, Cartan's divisibility theorem, centroaffine transformations, Complexification of a linear operator, conjugate space, Developables, Diffeomorphisms, dual space, eigenfunctions, eigenvalues, euclidean point spaces, euclidean spaces, Frenet’s formulas, gauss theorem, gradients derivatives, graphs of functions, Grassman algebra, Hamilton’s symbolic vector, hyperplanes, hypersurface, indicatrix of dupin, isometries, jacobi theorem, Kronecker-Capelli theorem, linear operators, Matrix rank theorem, Multiplication of tensors, Multivector rank theorem, multivectors, normal vector, Plücker relations, principal curvatures, projections, projective space, quadratic forms, regular surfaces, self-adjoint operators, skew-Hermitian operators., Skew-symmetric Hermitian operators., smooth functions, tangential plane, tensors, three dimensional, Unitary matrices, unitary spaces, vector analysis, vector fields, vector spaces, Vector subspaces, Weingarten's derivation
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Lectures in Geometry – Semester 1 Analytic Geometry – Postnikov
In this post, we will see the book Lectures in Geometry – Semester 1 Analytic Geometry by M. Postnikov. This book is the first one of a five part Lectures in Geometry series. So far we have volumes 1, 2 … Continue reading
Posted in books, mathematics, mir books, mir publishers, soviet
Tagged affine transformations, analytic, analytic geometry, bivectors, Cauchy-Buniakowski inequality, collinear, conic sections, coplanar, desargues theorem, duality principle, ellipsoids, Fano theorem, geometry, isomorphisms, linear dependence, linear fractional transformations, mathematics, metric coefficients, metric forms, mir publishers, parametric equations, space, triangle inequality, trivectors, vectors
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