Linear Algebra And Matrix Theory

Nering, Evar D

ISBN 10: 0471631701 / ISBN 13: 9780471631705

Published by John Wiley & Sons, New York, 1985

About this Item

Paperback, VG. xii+352pp, b/w text figs, index, spine a little darkened, otherwise a nice copy. International Student Edition. Contains : Vector Spaces - Definitions - Linear Independence And Linear Dependence - Bases Of Vector Spaces - Subspaces - Ii. Linear Transformations And Matrices - Linear Transformations - Matrices - Non-Singular Matrices - Change Of Basis - Hermite Normal Form - Elementary Operations And Elementary Matrices - Linear Problems And Linear Equations - Other Applications Of The Hermite Normal Form - Normal Forms - Quotient Sets, Quotient Spaces - Hom(U, V) - Iii. Determinants, Eigenvalues, And Similarity Transformations - Permutations - Determinants - Cofactors - The Hamilton-Cayley Theorem - Eigenvalues And Eigenvectors - Some Numerical Examples - Similarity - The Jordan Normal Form - Iv. Linear Functionals, Bilinear Forms, Quadratic Forms - Linear Functionals - Duality - Change Of Basis - Annihilators - The Dual Of A Linear Transformation - Duality Of Linear Transformations - Direct Sums - Bilinear Forms - Quadratic Forms - The Normal Form - Real Quadratic Forms - Hermitian Forms - V. Orthogonal And Unitary Transformations, Normal Matrices - Inner Products And Orthonormal Bases - Complete Orthonormal Sets - The Representation Of A Linear Functional By An Inner Product - The Adjoint Transformation - Orthogonal And Unitary Transformations - Orthogonal And Unitary Matrices - Superdiagonal Form - Normal Matrices - Normal Linear Transformations - Hermitian And Unitary Matrices - Real Vector Spaces - The Computational Processes - Vi. Selected Applications Of Linear Algebra - Vector Geometry - Finite Cones And Linear Inequalities - Linear Programming - Applications To Communication Theory - Vector Calculus - Spectral Decomposition Of Linear Transformations - Systems Of Linear Differential Equations - Small Oscillations Of Mechanical Systems - Representations Of Finite Groups By Matrices - Application Of Representation Theory To Symmetric Mechanical Systems. 550 grams.

Seller Inventory # 61948

Bibliographic Details

• Title: Linear Algebra And Matrix Theory
• Publisher: John Wiley & Sons, New York
• Publication Date: 1985
• Language: English
• ISBN 10: 0471631701
• ISBN 13: 9780471631705
• Binding: Soft cover
• Edition: reprint of 2nd edition.
• Condition: Very Good
• Weight: 550 grams
• Seller catalogs:
  • Science
  • Physics

About this title

Synopsis

This revision of a well-known text includes more sophisticated mathematical material. A new section on applications provides an introduction to the modern treatment of calculus of several variables, and the concept of duality receives expanded coverage. Notations have been changed to correspond to more current usage.