Basic Concepts of Mathematics
Posted by admin on Nov 25, 2010
This book helps the student complete the transition from purely manipulative to rigorous mathematics. Topics include: basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers (including consequences of the completeness axiom), fields, and basic properties of n-dimensional Euclidean spaces
A First Course in Linear Algebra
Posted by admin on Nov 25, 2010
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Along the way, determinants and eigenvalues get fair time. PDF versions are available to download for printing or on-screen viewing, two online versions are available, and physical copies may be purchased from the print-on-demand service at Lulu.com.
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