Fourier AnalysisCambridge University Press, 1988 - 591 páginas Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. In most books, this diversity of interest is often ignored, but here Dr Körner has provided a shop-window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy, and electrical engineering. Each application is placed in perspective by a short essay. The prerequisites are few (the reader with knowledge of second or third year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. In short, this stimulating account will be welcomed by all who like to read about more than the bare bones of a subject. For them this will be a meaty guide to Fourier analysis. |
Contenido
III | 3 |
IV | 6 |
V | 11 |
VI | 15 |
VII | 19 |
IX | 21 |
X | 24 |
XI | 28 |
LXIX | 295 |
LXX | 300 |
LXXI | 308 |
LXXII | 315 |
LXXIII | 324 |
LXXIV | 332 |
LXXV | 335 |
LXXVI | 338 |
XII | 32 |
XIII | 35 |
XIV | 38 |
XV | 42 |
XVI | 46 |
XVII | 56 |
XVIII | 59 |
XX | 62 |
XXI | 67 |
XXII | 74 |
XXIII | 77 |
XXIV | 79 |
XXV | 83 |
XXVI | 88 |
XXVII | 93 |
XXVIII | 99 |
XXIX | 104 |
XXX | 113 |
XXXI | 116 |
XXXII | 121 |
XXXIII | 124 |
XXXV | 131 |
XXXVI | 134 |
XXXVIII | 143 |
XXXIX | 145 |
XL | 150 |
XLI | 155 |
XLII | 159 |
XLIII | 166 |
XLIV | 170 |
XLV | 175 |
XLVI | 179 |
XLVII | 185 |
XLVIII | 191 |
XLIX | 197 |
L | 201 |
LI | 207 |
LII | 212 |
LIII | 219 |
LIV | 221 |
LV | 226 |
LVII | 230 |
LVIII | 240 |
LIX | 245 |
LX | 253 |
LXI | 259 |
LXII | 265 |
LXIII | 270 |
LXIV | 274 |
LXV | 282 |
LXVI | 285 |
LXVII | 289 |
LXVIII | 292 |
LXXVII | 344 |
LXXVIII | 347 |
LXXIX | 349 |
LXXX | 357 |
LXXXI | 363 |
LXXXII | 365 |
LXXXIII | 368 |
LXXXIV | 372 |
LXXXV | 379 |
LXXXVI | 386 |
LXXXVII | 395 |
LXXXVIII | 403 |
LXXXIX | 407 |
XC | 413 |
XCI | 418 |
XCII | 425 |
XCIII | 429 |
XCIV | 434 |
XCV | 436 |
XCVI | 443 |
XCVII | 451 |
XCVIII | 455 |
XCIX | 461 |
C | 467 |
CI | 471 |
CII | 473 |
CIII | 475 |
CIV | 478 |
CV | 481 |
CVI | 484 |
CVII | 488 |
CVIII | 491 |
CIX | 497 |
CX | 500 |
CXI | 503 |
CXII | 506 |
CXIII | 509 |
CXIV | 513 |
CXV | 519 |
CXVI | 525 |
CXVII | 532 |
CXVIII | 539 |
CXIX | 546 |
CXX | 552 |
CXXI | 558 |
CXXII | 563 |
CXXIII | 565 |
CXXIV | 575 |
CXXV | 577 |
CXXVI | 580 |
CXXVII | 581 |
585 | |
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Términos y frases comunes
a₁ Abelian group analytic function approximation argument behaviour bounded Brownian motion Burt's cable Chapter compute consider continuous function continuously differentiable coprime defined differentiable function differential equations Dirichlet diverges example exists expirt f is continuous Fejér's Fejér's theorem Figure finite number formula Fourier series Fourier transforms function f give given heat equation infinitely differentiable interval Kelvin Laplace transform linear mathematical mathematician method multiplications Observe obtain particle particular Plausible Lemma polynomial of degree probability density problem proof of Lemma proof of Theorem prove random variables reader Remark Riemann integrable satisfies simple solution Step Suppose t₁ theory trigonometric polynomial trivial u₁ uniqueness whilst X₁ y)dx y)dx)dy y₁ zeros дф
Referencias a este libro
Finite Difference Schemes and Partial Differential Equations John Strikwerda Sin vista previa disponible - 2004 |