Book contents
- Frontmatter
- Epigraph
- Contents
- Foreword
- Preface
- Part I Fourier Series
- Part II Some Differential Equations
- Part III Orthogonal Series
- Part IV Fourier Transforms
- Part V Further Developments
- Part VI Other Directions
- 91 The future of mathematics viewed from 1800
- 92 Who was Fourier? I
- 93 Who was Fourier? II
- 94 Why do we compute?
- 95 The diameter of stars
- 96 What do we compute?
- 97 Fourier analysis on the roots of unity
- 98 How do we compute?
- 99 How fast can we multiply?
- 100 What makes a good code?
- 101 A little group theory
- 102 A good code?
- 103 A little more group theory
- 104 Fourier analysis on finite Abelian groups
- 105 A formula of Euler
- 106 An idea of Dirichlet
- 107 Primes in some arithmetical progressions
- 108 Extension from real to complex variable
- 109 Primes in general arithmetical progressions
- 110 A word from our founder
- Appendix A The circle T
- Appendix B Continuous function on closed bounded sets
- Appendix C Weakening hypotheses
- Appendix D Ode to a galvanometer
- Appendix E The principle of the argument
- Appendix F Chase the constant
- Appendix G Are share prices in Brownian motion?
- Index
108 - Extension from real to complex variable
from Part VI - Other Directions
Published online by Cambridge University Press: 19 May 2022
- Frontmatter
- Epigraph
- Contents
- Foreword
- Preface
- Part I Fourier Series
- Part II Some Differential Equations
- Part III Orthogonal Series
- Part IV Fourier Transforms
- Part V Further Developments
- Part VI Other Directions
- 91 The future of mathematics viewed from 1800
- 92 Who was Fourier? I
- 93 Who was Fourier? II
- 94 Why do we compute?
- 95 The diameter of stars
- 96 What do we compute?
- 97 Fourier analysis on the roots of unity
- 98 How do we compute?
- 99 How fast can we multiply?
- 100 What makes a good code?
- 101 A little group theory
- 102 A good code?
- 103 A little more group theory
- 104 Fourier analysis on finite Abelian groups
- 105 A formula of Euler
- 106 An idea of Dirichlet
- 107 Primes in some arithmetical progressions
- 108 Extension from real to complex variable
- 109 Primes in general arithmetical progressions
- 110 A word from our founder
- Appendix A The circle T
- Appendix B Continuous function on closed bounded sets
- Appendix C Weakening hypotheses
- Appendix D Ode to a galvanometer
- Appendix E The principle of the argument
- Appendix F Chase the constant
- Appendix G Are share prices in Brownian motion?
- Index
- Type
- Chapter
- Information
- Fourier Analysis , pp. 546 - 551Publisher: Cambridge University PressPrint publication year: 2022