Sources in the Development of Mathematics Series and Products from the Fifteenth to the Twenty-first Century
Book contents
- Frontmatter
- Contents
- Preface
- 1 Power Series in Fifteenth-Century Kerala
- 2 Sums of Powers of Integers
- 3 Infinite Product of Wallis
- 4 The Binomial Theorem
- 5 The Rectification of Curves
- 6 Inequalities
- 7 Geometric Calculus
- 8 The Calculus of Newton and Leibniz
- 9 De Analysi per Aequationes Infinitas
- 10 Finite Differences: Interpolation and Quadrature
- 11 Series Transformation by Finite Differences
- 12 The Taylor Series
- 13 Integration of Rational Functions
- 14 Difference Equations
- 15 Differential Equations
- 16 Series and Products for Elementary Functions
- 17 Solution of Equations by Radicals
- 18 Symmetric Functions
- 19 Calculus of Several Variables
- 20 Algebraic Analysis: The Calculus of Operations
- 21 Fourier Series
- 22 Trigonometric Series after 1830
- 23 The Gamma Function
- 24 The Asymptotic Series for ln Γ(x)
- 25 The Euler–Maclaurin Summation Formula
- 26 L-Series
- 27 The Hypergeometric Series
- 28 Orthogonal Polynomials
- 29 q-Series
- 30 Partitions
- 31 q-Series and q-Orthogonal Polynomials
- 32 Primes in Arithmetic Progressions
- 33 Distribution of Primes: Early Results
- 34 Invariant Theory: Cayley and Sylvester
- 35 Summability
- 36 Elliptic Functions: Eighteenth Century
- 37 Elliptic Functions: Nineteenth Century
- 38 Irrational and Transcendental Numbers
- 39 Value Distribution Theory
- 40 Univalent Functions
- 41 Finite Fields
- References
- Index
30 - Partitions
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface
- 1 Power Series in Fifteenth-Century Kerala
- 2 Sums of Powers of Integers
- 3 Infinite Product of Wallis
- 4 The Binomial Theorem
- 5 The Rectification of Curves
- 6 Inequalities
- 7 Geometric Calculus
- 8 The Calculus of Newton and Leibniz
- 9 De Analysi per Aequationes Infinitas
- 10 Finite Differences: Interpolation and Quadrature
- 11 Series Transformation by Finite Differences
- 12 The Taylor Series
- 13 Integration of Rational Functions
- 14 Difference Equations
- 15 Differential Equations
- 16 Series and Products for Elementary Functions
- 17 Solution of Equations by Radicals
- 18 Symmetric Functions
- 19 Calculus of Several Variables
- 20 Algebraic Analysis: The Calculus of Operations
- 21 Fourier Series
- 22 Trigonometric Series after 1830
- 23 The Gamma Function
- 24 The Asymptotic Series for ln Γ(x)
- 25 The Euler–Maclaurin Summation Formula
- 26 L-Series
- 27 The Hypergeometric Series
- 28 Orthogonal Polynomials
- 29 q-Series
- 30 Partitions
- 31 q-Series and q-Orthogonal Polynomials
- 32 Primes in Arithmetic Progressions
- 33 Distribution of Primes: Early Results
- 34 Invariant Theory: Cayley and Sylvester
- 35 Summability
- 36 Elliptic Functions: Eighteenth Century
- 37 Elliptic Functions: Nineteenth Century
- 38 Irrational and Transcendental Numbers
- 39 Value Distribution Theory
- 40 Univalent Functions
- 41 Finite Fields
- References
- Index
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- Sources in the Development of MathematicsSeries and Products from the Fifteenth to the Twenty-first Century, pp. 627 - 652Publisher: Cambridge University PressPrint publication year: 2011