Book contents
- Frontmatter
- Contents
- Preface
- 1 Some mathematical language
- 2 Sets and functions
- 3 Equivalence relations and quotient sets
- 4 Number systems I
- 5 Groups I
- 6 Rings and fields
- 7 Homomorphisms and quotient algebras
- 8 Vector spaces and matrices
- 9 Linear equations and rank
- 10 Determinants and multilinear mappings
- 11 Polynomials
- 12 Groups II
- 13 Number systems II
- 14 Fields and polynomials
- 15 Lattices and Boolean algebra
- 16 Ordinal numbers
- 17 Eigenvectors and eigenvalues
- 18 Quadratic forms and inner products
- 19 Categories and functors
- 20 Metric spaces and continuity
- 21 Topological spaces and continuity
- 22 Metric spaces II
- 23 The real numbers
- 24 Real-valued functions of a real variable
- 25 Differentiable functions of one variable
- 26 Functions of several real variables
- 27 Integration
- 28 Infinite series and products
- 29 Improper integrals
- 30 Curves and arc length
- 31 Functions of a complex variable
- 32 Multiple integrals
- 33 Logarithmic, exponential and trigonometric functions
- 34 Vector algebra
- 35 Vector calculus
- 36 Line and surface integrals
- 37 Measure and Lebesgue integration
- 38 Fourier series
- Appendix 1 Some ‘named’ theorems and properties
- Appendix 2 Alphabets used in mathematics
- Index of symbols
- Subject index
8 - Vector spaces and matrices
Published online by Cambridge University Press: 02 February 2010
- Frontmatter
- Contents
- Preface
- 1 Some mathematical language
- 2 Sets and functions
- 3 Equivalence relations and quotient sets
- 4 Number systems I
- 5 Groups I
- 6 Rings and fields
- 7 Homomorphisms and quotient algebras
- 8 Vector spaces and matrices
- 9 Linear equations and rank
- 10 Determinants and multilinear mappings
- 11 Polynomials
- 12 Groups II
- 13 Number systems II
- 14 Fields and polynomials
- 15 Lattices and Boolean algebra
- 16 Ordinal numbers
- 17 Eigenvectors and eigenvalues
- 18 Quadratic forms and inner products
- 19 Categories and functors
- 20 Metric spaces and continuity
- 21 Topological spaces and continuity
- 22 Metric spaces II
- 23 The real numbers
- 24 Real-valued functions of a real variable
- 25 Differentiable functions of one variable
- 26 Functions of several real variables
- 27 Integration
- 28 Infinite series and products
- 29 Improper integrals
- 30 Curves and arc length
- 31 Functions of a complex variable
- 32 Multiple integrals
- 33 Logarithmic, exponential and trigonometric functions
- 34 Vector algebra
- 35 Vector calculus
- 36 Line and surface integrals
- 37 Measure and Lebesgue integration
- 38 Fourier series
- Appendix 1 Some ‘named’ theorems and properties
- Appendix 2 Alphabets used in mathematics
- Index of symbols
- Subject index
Summary
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- Chapter
- Information
- A Handbook of Terms used in Algebra and Analysis , pp. 38 - 45Publisher: Cambridge University PressPrint publication year: 1972