Sagan H. — Advanced Calculus of Real-Valued Functions of a Real Variable and Vector-Valued Functions of a Vector Variable :: Электронная библиотека попечительского совета мехмата МГУ

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Sagan H. — Advanced Calculus of Real-Valued Functions of a Real Variable and Vector-Valued Functions of a Vector Variable

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Название: Advanced Calculus of Real-Valued Functions of a Real Variable and Vector-Valued Functions of a Vector Variable

Автор: Sagan H.

Язык:

Рубрика: Математика/Анализ/Тензорный анализ, формы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1974

Количество страниц: 671

Добавлена в каталог: 15.04.2005

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Предметный указатель

Subsequence      62
Subset      3
Subspace, linear      297
Sup      30
Superior limit      583
Superset      3
Supply set      11
surface      481ff
Surface area      521
Surface integral      530
Surjective map      12
Tangent line      499
Tangent plane      506
Tangent vector      500
Target set      11
Taylor series      624
Taylor series, convergence of      626 (628)
Taylor's formula      (135) 623
Taylor's formula for real-valued functions of vector variable      (351) (352)
Taylor, Brook      622
Termwise differentiation of power series      604
Termwise differentiation of sequences      291
Termwise differentiation of series      600
Termwise integration of power series      604
Termwise integration of sequences      288
Termwise integration of series      600
Ternary representation      (32)
Three-form in       532
Torus      490
Torus, surface area of      523
Transcendental functions      616
Transcendental numbers      47
Transfinite cardinal numbers      49ff
Transformation of double integrals      432
Transformation of multiple integrals      457
Triangle inequality      25 205 208
Triangle inequality for integrals      179 412
Triangle inequality for square summable sequences      590
Triangulated point set      147
Triangulated point set, area measure of      147
Trigonometric functions      612ff

Triple integration by iteration      422
Two-form in       529
Uniform continuity of functions      26 113
Uniform continuity of functions satisfying a global Lipschitz condition      263
Uniform continuity of linear functions      307
Uniform convergence of Cauchy sequences      273
Uniform convergence of power series      604
Uniform convergence of sequences      271
Uniform convergence of series      599
Uniform limit      (230)
Uniform Lipschitz condition      441
Union of closed sets      104 105 213
Union of open sets      104 105 213
Union of sets      4 6
Universal set      1
Upper bound      29
Upper Darboux integral      (156) 415
Upper semicontinuous function      (119)
Upper sum      152 394
Value of a function      11
Vector field      534
Vector space      200
Vector space, normed      205
Vectors, fundamental      201
Vectors, linear dependence of      297
Vectors, linear independence of      297
Vectors, position      199
Vectors, tangent      500
Velocity field      534
Venn diagram      (5)
w.l.o.g.      40
Wedge product      528
Weierstrass' approximation theorem      279
Weierstrass' test for uniform convergence      600
Weierstrass, Karl      59 616
Work      471 535
Wunderlich, W.      440n
Zero, Jordan content      406
Zero, Lebesgue measure      165 397
Zero, vector      200
Zeta function      (574)

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