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Overview
The strength of this textbook lies in the careful exposition of mathematical thinking, basic set-theoretic notions, and proof techniques combined with contemporary numerical methods used throughout the book. A basic version of computer programs compatible with the widely used program MatLab, and exercises are provided on a disk included with the book.Warmup
• Matrix Operations
• Invertible Matrices
• Subspaces
• Rank and Dimension
• Geometry
• Determinants-I
• Diagonalization
• Differential Equations
• Hermitian Matrices
• Triangular Matrices
• Unitary Matrices
• Block Diagonalization
• Jordan Normal Form
• Determinants-II
• Proofs
• Mathematical Induction†* Summary of MINIMAT
• Answers
• MINIMAT Tutorial (PC Version)
Synopsis
The strength of this textbook lies in the careful exposition of mathematical thinking, basic set-theoretic notions, and proof techniques combined with contemporary numerical methods used throughout the book. A basic version of computer programs compatible with the widely used program MatLab, and exercises are provided on a disk included with the book.Warmup
• Matrix Operations
• Invertible Matrices
• Subspaces
• Rank and Dimension
• Geometry
• Determinants-I
• Diagonalization
• Differential Equations
• Hermitian Matrices
• Triangular Matrices
• Unitary Matrices
• Block Diagonalization
• Jordan Normal Form
• Determinants-II
• Proofs
• Mathematical Induction†* Summary of MINIMAT
• Answers
• MINIMAT Tutorial (PC Version)
Booknews
An undergraduate textbook that teaches mathematical literacy by providing a careful treatment of set theoretic notions and elementary mathematical proofs. It gives a complete handling of the fundamental normal form theorems of matrix algebra. It fully integrates the computer by describing the basic algorithms in the computer language Matlab and by providing computer exercises that utilize new pedagogical techniques. The computer program MINIMAT is included. Annotation c. Book News, Inc., Portland, OR (booknews.com)