Front Cover. Alekseĭ Ivanovich Kostrikin, P. K. Suetin, Alexandra I. Kostrikin, I͡U. I. Manin, Yu I Manin. Taylor & Francis, Jul 14, – Mathematics – pages. Linear Algebra and Geometry. Front Cover. P. K. Suetin, Alexandra I. Kostrikin, Yu I Manin. CRC Press, Oct 1, – Mathematics – pages. Linear Algebra and Geometry · P. K. Suetin,Alexandra I. Kostrikin,Yu I Manin Limited preview – Linear Algebra and Geometry · P. K. Suetin,Alexandra I.
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This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, kkstrikin work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry.
Aleksei Kostrikin biography
Kosttrikin subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. Also discussed are Kahler’s metic, the theory of Hilbert polynomials, and projective and affine geometries. Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics.
Account Options Sign in. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential My library Help Advanced Book Search.
Linear Algebra and Geometry
Linear Algebra and Geometry. SuetinAlexandra I. KostrikinYu I Manin. Selected pages Title Page. Contents Linear Spaces and Linear Mappings. Subspaces and Direct Sums. The Structure of a Linear Mapping. Witts Theorem and Witts Group. Affine ,anin Projective Geometry.
Convex Polyhcdra and Linear Programming. Affine Quadratic Functions and Quadrics. The Jordan Normal Form. Functions of Linear Operators. Complex ification and Decomplexification. Kostrikiin Language of Categories. The Categorical Properties of Linear Spaces. Geometry of Spaces with an Inner Product. The Orthogonalization Algorithm and Orthogonal Polynomials.
Orthogonal and Unitary Operators. SelfAdjoint Operators in Quantum Mechanics.
Linear Algebra and Geometry – P. K. Suetin, Alexandra I. Kostrikin, Yu I Manin – Google Books
Projective Duality and Projective Quadrics. Projective Groups and Projections. Algebraic Varieties and Hilbert Polynomials. The Tensor Algebra of a Linear Space.
Tensor Products in Quantum Mechanics. KostrikinYu I Manin Limited preview – Linear Algebra and Geometry P.
Aleksei Ivanovich Kostrikin
Classical and Quantum Computation Alexei Yu. KitaevAlexander ShenMikhail N. Vyalyi No preview available – Linear Spaces and Linear Mappings.