Linear Algebra: Core Topics For The Second Course
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A01=Dragu Atanasiu
A01=Piotr Mikusinski
Adjoint of an Operator
Alternating Multilinear Form
Author_Dragu Atanasiu
Author_Piotr Mikusinski
Basis
Category=PBF
Characteristic Polynomial
Dimension
Dual Space
Eigenvalue
Eigenvector
Endomorphism
eq_isMigrated=1
eq_nobargain
Inner Product Space
Invariant Factors
Invariant Subspace
Isomorphism
Jordan Canonical Form
Kernel
Linear Transformation
Minimal Polynomial
Normal Operator
Orthogonal Operator
Orthogonal Projection
Polar Decomposition
Positive Operator
Range
Rank-Nullity Theorem
Rational Form
Self-Adjoint Operator
Sesquilinear Form
Singular Value Decomposition
Spectral Theorem
Unitary Operator
Vector
Vector Space
Product details
- ISBN 9789811258541
- Publication Date: 03 Feb 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This is a book for the second course in linear algebra whereby students are assumed to be familiar with calculations using real matrices. To facilitate a smooth transition into rigorous proofs, it combines abstract theory with matrix calculations.This book presents numerous examples and proofs of particular cases of important results before the general versions are formulated and proved. The knowledge gained from a particular case, that encapsulates the main idea of a general theorem, can be easily extended to prove another particular case or a general case. For some theorems, there are two or even three proofs provided. In this way, students stand to gain and study important results from different angles and, at the same time, see connections between different results presented in the book.
