Undergraduate Texts in Mathematics
2 total works
Contents: Introduction. - Fundamental Concepts. -
Topological Vector Spaces.- The Quotient Topology. -
Completion of Metric Spaces. - Homotopy. - The Two
Countability Axioms. - CW-Complexes. - Construction of
Continuous Functions on Topological Spaces. - Covering
Spaces. - The Theorem of Tychonoff. - Set Theory (by T.
Br|cker). - References. - Table of Symbols. -Index.
Topological Vector Spaces.- The Quotient Topology. -
Completion of Metric Spaces. - Homotopy. - The Two
Countability Axioms. - CW-Complexes. - Construction of
Continuous Functions on Topological Spaces. - Covering
Spaces. - The Theorem of Tychonoff. - Set Theory (by T.
Br|cker). - References. - Table of Symbols. -Index.
This book covers the material of an introductory course in linear algebra: sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. The book is written for beginners. Its didactic features (the "book within a book" and multiple choice tests with commented answers) make it especially suitable for self-study.