Linear Algebra and Geometry

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A01=Alexandra I. Kostrikin
A01=P. K. Suetin
A01=Yu I Manin
advanced quantum linear transformations
Affine Mapping
Affine Space
Affine Subspace
Author_Alexandra I. Kostrikin
Author_P. K. Suetin
Author_Yu I Manin
Barycentric Combinations
categorical algebra methods
Category=PBF
Category=PBM
Category=PBP
convex optimisation mathematics
dimensional
Division Ring
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
factorizable
finite
Finite Dimensional Linear Space
Finite Dimensional Space
functional analysis applications
Graded Subspace
Group PGL
Hilbert polynomial theory
Jordan Basis
Linear Algebra
Linear Space
Linear Span
Linearly Independent
mapping
Minimal Polynomial
multilinear
Multilinear Mapping
multiplication
normed vector spaces
Orthogonal Space
Orthonormal Basis
product
Projective Subspaces
quantum mechanics foundations
Self-adjoint Operator
Selfadjoint Operators
space
Symplectic Basis
Symplectic Space
tensor
Tensor Algebra
Tensor Product
tensors

Product details

  • ISBN 9782881246838
  • Weight: 520g
  • Dimensions: 152 x 229mm
  • Publication Date: 14 Jul 1989
  • Publisher: Gordon & Breach Science Publishers SA
  • Publication City/Country: NL
  • Product Form: Hardback
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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, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. The 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.

P. K. Suetin, Alexandra I. Kostrikin, Yu I Manin, both Steklov Institute of Mathematics, USSR Academy of Sciences, Moscow. Translated from the Second Russian Edition by M. E. Alferieff.

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