An Introduction to the Theory of Infinite SeriesAmerican Mathematical Soc., 2005 - 535 pàgines Based on lectures on Elementary Analysis given at Queen's College, Galway, from 1902-1907, this title includes a discussion of the solution of linear differential equations of the second order; a discussion of elliptic function formulae; expanded treatment of asymptomatic series; and a discussion of trigonometrical series. |
Continguts
CHAPTER I | 1 |
CHAPTER II | 26 |
CHAPTER III | 53 |
CHAPTER IV | 69 |
98 | 80 |
INFINITE PRODUCTS | 104 |
CHAPTER VII | 119 |
SPECIAL POWER SERIES 170189 | 170 |
CHAPTER XI | 278 |
CHAPTER XII | 317 |
ASYMPTOTIC SERIES 324354 | 324 |
TRIGONOMETRICAL SERIES 354387 | 354 |
APPENDIX I | 394 |
APPENDIX II | 436 |
SOME THEOREMS ON INFINITE INTEGRALS AND GAMMA | 461 |
MISCELLANEOUS EXAMPLES | 526 |
Altres edicions - Mostra-ho tot
An Introduction to the Theory of Infinite Series Thomas John I'Anson Bromwich Visualització de fragments - 1991 |
An Introduction to the Theory of Infinite Series T. J. IA. Bromwich Previsualització no disponible - 2020 |
An Introduction To The Theory Of Infinite Series T J I a Bromwich Previsualització no disponible - 2017 |
Frases i termes més freqüents
a₁ a₂ Abel's Lemma Abel's theorem absolutely convergent an/an+1 an+1 apply asymptotic series b₁ b₂ binomial series circle coefficient complex condition consider continuous function convergent series converges absolutely converges uniformly corresponding cosh curve deduce denote differential Dirichlet's Dirichlet's test divergent series double series equal equation Euler's example expressed follows formula fraction function given gives greater Hence increases inequality integral interval logarithmic Math method monotonic negative notation number of terms numerically less obtain oscillates positive integer positive number positive terms power-series Pringsheim proof prove radius of convergence rational numbers result sequence series converges series of positive shew Similarly sinh steadily decreases summation suppose tends to infinity tends to zero theory uniform convergence upper limit variable write