Elements Of Linear And Multilinear Algebra
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A01=John M Erdman
Adjoint
Algebra
Annihilator
Author_John M Erdman
Basis
Bilinear
Category=PBF
Cauchy-Schwarz
Clifford Algebras
Coboundary
Cochain
Cocycle
Cohomology
Commutative Diagrams
Complex
Convexity
Cotangent Bundle
De Rham Cohomology
Decomposition
Dependence
Diagonalization
Differential Forms
Differential Manifolds
Dimension
Eigenvalue
Eigenvector
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exterior Product
Functors
Geometric Algebra
Grassmann Algebras
Hermitian
Homology
Inner Product
Isomorphism
Kernel
Linear
Linear Algebra
Matrix
Multilinear
Norm
Null Space
Nullity
Orthogonal
Perpendicular
Projection
Quotients
Rank
Real
Riesz-FrAfA(C)chet Theorem
Riesz-Frechet Theorem
Riesz-Fréchet Theorem
Self-Adjoint
Similarity
Simplex
Skew-Symmetric
Span
Spectral Theorem
Spectrum
Subspaces
Tensors
Transformation
Vector Spaces
Vectors
Wedge Product
Product details
- ISBN 9789811222726
- Publication Date: 14 Jan 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This set of notes is an activity-oriented introduction to linear and multilinear algebra. The great majority of the most elementary results in these subjects are straightforward and can be verified by the thoughtful student. Indeed, that is the main point of these notes — to convince the beginner that the subject is accessible. In the material that follows there are numerous indicators that suggest activity on the part of the reader: words such as "proposition", "example", "theorem", "exercise", and "corollary", if not followed by a proof (and proofs here are very rare) or a reference to a proof, are invitations to verify the assertions made.These notes are intended to accompany an (academic) year-long course at the advanced undergraduate or beginning graduate level. (With judicious pruning most of the material can be covered in a two-term sequence.) The text is also suitable for a lecture-style class, the instructor proving some of the results while leaving others as exercises for the students.This book has tried to keep the facts about vector spaces and those about inner product spaces separate. Many beginning linear algebra texts conflate the material on these two vastly different subjects.
