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Choquet-Bruhat Y., Dewitt-Morette C. — Analysis, manifolds and physics
Choquet-Bruhat Y., Dewitt-Morette C. — Analysis, manifolds and physics



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Название: Analysis, manifolds and physics

Авторы: Choquet-Bruhat Y., Dewitt-Morette C.

Аннотация:

This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2

Год издания: 1982

Количество страниц: 630

Добавлена в каталог: 12.01.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
SUM      444
Support      13
Support of a convolution      465
Support of a distribution      441
Supremum      5
Surface dipole potential      499
Surface potential      499
Surjective      3
Symbol      397
Symbol bundle      400
Symmetric difference      2
Symplectic form      268 282 552
Symplectic morphism      268
Symplectic structure      267
Symplectic transformation      554
system      1
System of convolution equation      470
Tangent bundle      128
Tangent components      118
Tangent fibre bundle      545
Tangent to zero      73
Tangent vector      117 118 120 121 544
Tangent vector space      118 121 544 545
Taylor expansion      81 82 160 181
Taylor expansion of the action      100
Taylor formula      82
Tempered distribution      476
Tensor      546
Tensor algebra      140
Tensor bundle      143
Tensor distribution      482
Tensor field      143
Tensor product      139 140
Tensorial form      373
Test functions      423
Tetrad      134
Time-dependent hamiltonians      283
Time-orientable      288
Timelike      288 517
Todd class      401
Topological dual      22
Topological group      21
Topological inclusion      20
Topological invariant      18
Topological manifold      111
Topological vector space      21
topology      11
Topology, associated      20
Topology, coarser      12
Topology, discrete      12
Topology, finer      12
Topology, hull      18
Topology, inductive      18
Topology, inductive limit      427
Topology, metric, metrizable      23 426
Topology, product      20 68
Topology, projective      18
Topology, relative      20
Topology, seminorm      423
Topology, strong      29 69
Topology, trivial      12
Topology, usual      11 20
Topology, weak      29 69
Topology, weak star      453
Torsion form      306 376
Torsion tensor      306
Torsion, almost complex structure      331
Torus      8 117
Total variation      49
Trace      430 487
Trace theorem      506
Trajectory      144 274
Transformation of a distribution under a diffeomorphism      457
Transition function      126
Transitively      153
Transport      358
Transposed operator      60
Triangle inequality (subadditivity)      26
Triangulable      219
Trivial      12
Trivial bundle      125 131 385
Trivialization      363
Truncating sequences      434
Tychonoff theorem      21
Type of a form      373
Type of a tensor      139
Typical fibre      125
U(n)      173
Ultrafilter      14
Uniform boundedness theorem      63
Uniform norm      29
union      2
Uniqueness theorem      381 499 515 524
Universal covering space      19
Upper bound      5
Usual topology on R, Rn      12 20
Van Vleck matrix      100
Variance      581
Variation      321
Vector bundle      125
Vector field      132
Vector fields, f-related      135
Vector space      9
Vector valued differential form      210
Vertical      359
Vertical automorphism      405
Vierbein      134
Void set      1
Volterra convolution      471
Volume element      294
Wave equation      511
Weak metric      555
Weak star topology      453
Weak symplectic form      552
Weak topology      29
Wedge product      551
Weil homomorphism      392
Weyl tensor      351
Wiener integral      573 585 595
Winding number      410
Wormhole      271
Yang — Mills field equation      404
Yang — Mills instanton      410
Yang — Mills Lagrangian      403
Yang — Mills pseudoparticles      414
Yang — Mills-field      403
Zermelo's axiom of choice      6
Zorn's lemma      6
1 2 3 4 5
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