Modern Mathematical Methods for Physicists and EngineersCambridge University Press, 09.10.2000 - 763 Seiten The advent of powerful desktop computers has revolutionized scientific analysis and engineering design in fields as disparate as particle physics and telecommunications. This up-to-date volume provides the essential mathematical and computational education for students, researchers, and practicing engineers. The author begins with a review of computation, and then deals with a range of key concepts including sets, fields, matrix theory, and vector spaces. He then goes on to cover more advanced subjects such as linear mappings, group theory, and special functions. He concentrates exclusively on the most important topics for the working physical scientist or engineer with the aim of helping them to make intelligent use of the latest computational and analytical methods. The book contains well over 400 homework problems and covers many topics not dealt with in other textbooks. It will be ideal for senior undergraduate and graduate students in the physical sciences and engineering, as well as a valuable reference for working engineers. |
Inhalt
II | 1 |
III | 2 |
IV | 3 |
V | 14 |
VI | 17 |
VII | 20 |
VIII | 21 |
IX | 25 |
CLXXXVII | 392 |
CLXXXVIII | 397 |
CLXXXIX | 403 |
CXC | 406 |
CXCI | 407 |
CXCII | 409 |
CXCIII | 416 |
CXCIV | 417 |
X | 28 |
XI | 30 |
XII | 31 |
XIV | 32 |
XV | 35 |
XVI | 36 |
XVII | 37 |
XVIII | 39 |
XIX | 41 |
XX | 43 |
XXI | 45 |
XXII | 46 |
XXIII | 47 |
XXIV | 49 |
XXV | 53 |
XXVI | 62 |
XXVIII | 65 |
XXIX | 67 |
XXX | 68 |
XXXI | 69 |
XXXII | 70 |
XXXIII | 71 |
XXXV | 72 |
XXXVI | 73 |
XXXVII | 76 |
XXXVIII | 77 |
XXXIX | 78 |
XL | 80 |
XLI | 82 |
XLII | 83 |
XLIII | 84 |
85 | |
XLVI | 86 |
XLVII | 87 |
XLVIII | 89 |
XLIX | 91 |
L | 92 |
LIII | 95 |
LIV | 97 |
LV | 99 |
LVI | 101 |
LVII | 102 |
LIX | 105 |
LX | 106 |
LXI | 107 |
LXII | 109 |
LXIII | 111 |
LXIV | 112 |
LXV | 118 |
LXVI | 120 |
LXVII | 121 |
LXVIII | 122 |
LXIX | 127 |
LXX | 130 |
LXXI | 136 |
LXXII | 141 |
LXXIII | 143 |
LXXV | 147 |
LXXVI | 149 |
LXXVII | 152 |
LXXVIII | 158 |
LXXIX | 162 |
LXXX | 164 |
LXXXI | 165 |
LXXXII | 167 |
LXXXIII | 169 |
LXXXIV | 171 |
LXXXV | 173 |
LXXXVI | 175 |
LXXXVII | 179 |
LXXXVIII | 180 |
LXXXIX | 181 |
XC | 184 |
XCII | 186 |
189 | |
XCV | 191 |
XCVI | 193 |
XCVII | 194 |
XCVIII | 201 |
XCIX | 205 |
C | 208 |
CI | 211 |
CII | 212 |
CIII | 216 |
CIV | 219 |
CV | 221 |
CVII | 225 |
CVIII | 228 |
CIX | 232 |
CX | 237 |
CXI | 239 |
CXII | 240 |
CXIII | 241 |
CXIV | 242 |
CXV | 243 |
CXVI | 244 |
CXVII | 245 |
CXVIII | 246 |
CXIX | 248 |
CXX | 250 |
CXXI | 261 |
CXXII | 263 |
CXXIII | 265 |
CXXIV | 268 |
CXXV | 271 |
CXXVI | 275 |
CXXVII | 277 |
CXXVIII | 278 |
CXXX | 281 |
CXXXI | 282 |
CXXXII | 283 |
CXXXIII | 285 |
CXXXIV | 287 |
CXXXV | 288 |
CXXXVII | 291 |
CXXXVIII | 292 |
CXXXIX | 298 |
CXL | 299 |
CXLI | 300 |
CXLII | 309 |
CXLIII | 310 |
CXLIV | 312 |
CXLV | 317 |
CXLVII | 319 |
CXLVIII | 321 |
CXLIX | 322 |
CL | 324 |
CLI | 325 |
CLII | 327 |
CLIV | 328 |
CLV | 330 |
CLVII | 331 |
CLVIII | 332 |
CLIX | 334 |
CLX | 335 |
CLXI | 336 |
CLXII | 337 |
CLXIII | 338 |
CLXIV | 339 |
CLXV | 341 |
CLXVI | 345 |
CLXVII | 346 |
CLXVIII | 347 |
CLXIX | 348 |
CLXX | 349 |
CLXXI | 350 |
CLXXII | 352 |
CLXXIV | 353 |
CLXXV | 356 |
CLXXVI | 358 |
CLXXVII | 361 |
CLXXVIII | 362 |
CLXXIX | 365 |
CLXXX | 367 |
CLXXXI | 369 |
CLXXXII | 372 |
CLXXXIII | 378 |
CLXXXIV | 379 |
CLXXXV | 383 |
CLXXXVI | 384 |
CXCV | 418 |
CXCVI | 419 |
CXCVII | 420 |
CXCVIII | 421 |
CXCIX | 422 |
CC | 423 |
CCI | 424 |
CCIII | 425 |
CCIV | 428 |
CCV | 430 |
CCVI | 433 |
CCVII | 437 |
CCIX | 438 |
CCXI | 440 |
CCXII | 441 |
CCXIII | 443 |
CCXV | 446 |
CCXVI | 450 |
CCXVII | 453 |
CCXIX | 455 |
CCXX | 456 |
CCXXI | 459 |
CCXXII | 464 |
CCXXIV | 465 |
CCXXV | 466 |
CCXXVI | 469 |
CCXXVII | 471 |
CCXXVIII | 473 |
CCXXXI | 476 |
CCXXXII | 480 |
CCXXXIII | 483 |
CCXXXIV | 485 |
CCXXXV | 487 |
CCXXXVI | 491 |
CCXXXVII | 493 |
CCXXXVIII | 495 |
CCXXXIX | 502 |
CCXL | 504 |
CCXLI | 507 |
CCXLII | 509 |
CCXLIII | 511 |
CCXLIV | 512 |
CCXLV | 514 |
CCXLVII | 515 |
CCXLVIII | 516 |
CCXLIX | 517 |
CCL | 520 |
CCLI | 521 |
CCLII | 523 |
CCLIII | 529 |
CCLIV | 530 |
531 | |
CCLVI | 532 |
CCLVII | 534 |
CCLVIII | 536 |
CCLIX | 539 |
CCLX | 541 |
CCLXI | 543 |
CCLXII | 548 |
CCLXIII | 552 |
CCLXIV | 553 |
CCLXV | 558 |
CCLXVI | 560 |
CCLXVII | 565 |
CCLXVIII | 566 |
CCLXIX | 570 |
CCLXX | 572 |
CCLXXI | 575 |
CCLXXII | 576 |
CCLXXIII | 577 |
CCLXXV | 580 |
CCLXXVI | 581 |
CCLXXVII | 583 |
CCLXXVIII | 589 |
CCLXXIX | 592 |
CCLXXX | 594 |
CCLXXXI | 597 |
CCLXXXII | 599 |
CCLXXXIII | 603 |
CCLXXXIV | 610 |
CCLXXXV | 613 |
CCLXXXVI | 615 |
CCLXXXVII | 616 |
CCLXXXVIII | 618 |
CCLXXXIX | 619 |
CCXC | 621 |
CCXCII | 622 |
CCXCIII | 623 |
CCXCIV | 627 |
CCXCV | 629 |
CCXCVI | 630 |
CCXCVIII | 631 |
CCXCIX | 633 |
CCC | 638 |
CCCI | 640 |
CCCII | 643 |
CCCIII | 646 |
CCCIV | 647 |
CCCV | 648 |
CCCVI | 649 |
CCCVII | 650 |
CCCVIII | 652 |
CCCX | 653 |
CCCXIII | 656 |
CCCXV | 657 |
CCCXVI | 658 |
CCCXVII | 659 |
CCCXVIII | 661 |
CCCXIX | 662 |
CCCXX | 663 |
CCCXXI | 664 |
CCCXXII | 665 |
CCCXXIII | 668 |
CCCXXIV | 669 |
CCCXXV | 671 |
CCCXXVI | 672 |
CCCXXVII | 673 |
CCCXXVIII | 676 |
CCCXXXI | 677 |
CCCXXXII | 678 |
CCCXXXIII | 679 |
CCCXXXV | 680 |
CCCXXXVI | 681 |
CCCXXXVII | 682 |
CCCXXXIX | 684 |
685 | |
CCCXLIII | 686 |
CCCXLIV | 687 |
CCCXLVI | 690 |
CCCXLVIII | 692 |
CCCL | 694 |
CCCLII | 695 |
CCCLIII | 698 |
CCCLV | 700 |
CCCLVII | 701 |
CCCLIX | 702 |
CCCLXI | 704 |
CCCLXIII | 708 |
CCCLXIV | 709 |
CCCLXV | 711 |
CCCLXVII | 713 |
CCCLXIX | 715 |
CCCLXXI | 716 |
CCCLXXII | 718 |
CCCLXXIII | 719 |
CCCLXXIV | 720 |
CCCLXXV | 721 |
CCCLXXVII | 722 |
CCCLXXIX | 723 |
CCCLXXX | 726 |
CCCLXXXI | 727 |
CCCLXXXIII | 728 |
CCCLXXXV | 730 |
CCCLXXXVI | 733 |
CCCLXXXVII | 735 |
CCCLXXXVIII | 736 |
CCCLXXXIX | 738 |
745 | |
Andere Ausgaben - Alle anzeigen
Modern Mathematical Methods for Physicists and Engineers C. D. Cantrell Keine Leseprobe verfügbar - 2000 |
Modern Mathematical Methods for Physicists and Engineers C. D. Cantrell Keine Leseprobe verfügbar - 2000 |
Modern Mathematical Methods for Physicists and Engineers C. D. Cantrell Keine Leseprobe verfügbar - 2000 |
Häufige Begriffe und Wortgruppen
a₁ approximation axioms basis vectors belongs called canonical inner product Chebyshev polynomials coefficients column vectors complex numbers computation contravariant components converges coordinate countable defined in Eq definition det[A differential equation dimension discrete Fourier transform eigenvalue eigenvectors equal equivalent error Euclidean or unitary example EXERCISES FOR SECTION exists finite finite-dimensional floating-point floating-point number follows function f Gaussian elimination group G implies infinite inner product inner-product norm inner-product space integer interval inverse irreducible representations linear functional linear mapping linearly independent matrix elements method metric space multiplication n₁ nonsingular nonzero normed vector space notation null space null[A obtains one-to-one operator orthogonal orthonormal permutation Prove range[A real numbers relative rotation sampled scalar sequence solution spanned subgroup subset symmetric tensor theorem unitary space vector space vector subspace zero