Book contents
- Frontmatter
- Miscellaneous Frontmatter
- Contents
- PREFACE
- PART I FOURIER SERIES
- 1 Introduction
- 2 Proof of Fejér's theorem
- 3 Weyl's equidistribution theorem
- 4 The Weierstrass polynomial approximation theorem
- 5 A second proof of Weierstrass's theorem
- 6 Hausdorff's moment problem
- 7 The importance of linearity
- 8 Compass and tides
- 9 The simplest convergence theorem
- 10 The rate of convergence
- 11 A nowhere differentiable function
- 12 Reactions
- 13 Monte Carlo methods
- 14 Mathematical Brownian motion
- 15 Pointwise convergence
- 16 Behaviour at points of discontinuity I
- 17 Behaviour at points of discontinuity II
- 18 A Fourier series divergent at a point
- 19 Pointwise convergence, the answer
- PART II SOME DIFFERENTIAL EQUATIONS
- PART III ORTHOGONAL SERIES
- PART IV FOURIER TRANSFORMS
- Part V FURTHER DEVELOPMENTS
- PART VI OTHER DIRECTIONS
- 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
8 - Compass and tides
Published online by Cambridge University Press: 05 June 2014
Book contents
- Frontmatter
- Miscellaneous Frontmatter
- Contents
- PREFACE
- PART I FOURIER SERIES
- 1 Introduction
- 2 Proof of Fejér's theorem
- 3 Weyl's equidistribution theorem
- 4 The Weierstrass polynomial approximation theorem
- 5 A second proof of Weierstrass's theorem
- 6 Hausdorff's moment problem
- 7 The importance of linearity
- 8 Compass and tides
- 9 The simplest convergence theorem
- 10 The rate of convergence
- 11 A nowhere differentiable function
- 12 Reactions
- 13 Monte Carlo methods
- 14 Mathematical Brownian motion
- 15 Pointwise convergence
- 16 Behaviour at points of discontinuity I
- 17 Behaviour at points of discontinuity II
- 18 A Fourier series divergent at a point
- 19 Pointwise convergence, the answer
- PART II SOME DIFFERENTIAL EQUATIONS
- PART III ORTHOGONAL SERIES
- PART IV FOURIER TRANSFORMS
- Part V FURTHER DEVELOPMENTS
- PART VI OTHER DIRECTIONS
- 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. 28 - 31Publisher: Cambridge University PressPrint publication year: 1988