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An Introduction to Linear Algebra

Autor Ravi P. Agarwal, Elena Cristina Flaut
en Limba Engleză Hardback – 28 iul 2017
The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group theory, module theory, representation theory, ring theory, and Galois theory. Written by experienced researchers with a decades of teaching experience, Introduction to Linear Algebra is a clear and rigorous introductory text on this key topic for students of both applied sciences and pure mathematics.
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Specificații

ISBN-13: 9781138626706
ISBN-10: 1138626708
Pagini: 244
Ilustrații: 2
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.5 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC

Cuprins

Linear Vector Spaces. Matrices. Determinants. Invertible Matrices. Linear Systems. LU Factorization. Linear Dependence and Independence. Bases and Dimension. Coordinates and Isomorphisms. Rank of a Matrix. Linear Mappings. Matrix Representation of Linear Mappings. Inner Products and Orthogonality. Linear Functionals. Eigenvalues and Eigenvectors. Normed Linear Spaces. Diagonalization. Singular Value Decomposition. Differential and Difference Systems. Least Squares Approximation. Quadratic Forms. Positive Definite Matrices. Moore–Penrose Inverse.Special Matrices.

Descriere

This book provides a compact but thorough introduction to the topic. This book is intended for a senior undergraduate and for a beginning graduate one-semester course. The subject matter has been organized in the form of theorems and their proofs, and the presentation is rather unconventional.