Bridges D.S. — Foundations Of Real And Abstract Analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Bridges D.S. — Foundations Of Real And Abstract Analysis

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Название: Foundations Of Real And Abstract Analysis

Автор: Bridges D.S.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 324

Добавлена в каталог: 13.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Minkowski's Separation Theorem      278
Minorant      7
Minorised      7
Modulus      19
Monotone sequence principle      22
Multilinear map      184
Multiplication of series      32
Natural logarithmic function      18
Natural numbers      3
Negative      12 294
Neighbourhood      37 130 135
Nested intervals      24
NonNegative      13 294
Nonoverlapping      84
Nonsatiated      306
Nonzero linear map      186
Norm      174
Norm of a linear map      183
Norm, weighted least squares      249
Norm-preserving      261
Normal operator      254
Normed space      174
Nowhere dense      280
Nowhere differentiable      2 282
Null space      186
Oblique projection      287
Open ball      130
Open mapping      283
Open mapping theorem      283
Open set      35 130 135
Operator      253
Order dense      14 295
Orthogonal      237
Orthogonal complement      237
Orthogonal family      242
Orthonormal      242
Orthonormal basis      247
Oscillation      45
Outer measure      79
Outer measure, finite      80
Parallelogram law      236
Pareto optimum      305
Parseval's identity      248
Partial order      6
Partial sum      27 180
Partially ordered set      6
Partition      62
Path      163
Path component      164
Path connected      163
Peano's Theorem      228
Period      215
Periodic      215
Picard's theorem      223
Point wise      4
Points at infinity      129
Polarisation identity      255
Polya's theorem      288
Positive      12 294
Positive integers      3
Positive linear operator      212
Positively homogeneous      261
Power series      31
Precompact      149
Preference relation      303
Preference relation, convex      306
Preference-indifference      304
Prehilbert space      234
Preorder      6
Price vector      303
primitive      69
producer      303
Product metric      165
Product norm      176
Product normed space      176
Product of paths      164
Product, of metric spaces      165 170
Production set      303
Production vector      303
Projection      166 240
Pseudometric      127
Pythagoras's theorem      238
Quotient norm      181
Quotient space      181
RADIUS      130
Radius of convergence      31
Ratio Test      29
Rational approximation      292
Rational complex number      193
Rational number      291
Rational numbers      3
Real line, extended      129
Real number      12 292
Real number line      11
Real part      19
Rearrangement      34
Reciprocal      296
refinement      62
Reflexive      5 253 266

Regular      292
Remainder term, Cauchy form      59
Remainder term, Lagrange form      59
Representable      272
Representation      187
Riemann - Stieljtes integrable      72
Riemann - Stieltjes integral      72
Riemann - Stieltjes sum      72
Riemann integrable      64
Riemann integral      64
Riemann sum      67
Riemann-Lebesgue lemma      112
Riesz - Fischer theorem      198
Riesz representation theorem      252
Riesz's Lemma      190
Right hand derivative      280
Rodrigues' formula      252
Rolle's theorem      56
Root test      30
Satiated      306
Schauder basis      269
Second category      280
Second dual      253
Self-map      149 220
Selfadjoint      254
Seminorm      261
Separable      132
Separates      278
SEQUENCE      4
Sequentially compact      149
Sequentially continuous      45 140
Series      27 180
Simple function      116
Smallest element      8
Step function      99
Stone - Weierstrass Theorem      216 219
Strict partial order      6
Strict preference      303
Strictly decreasing      8
Strictly increasing      8
Subadditive      261
Subcover      47 146
Subfamily      5
Sublinear      261
Subsequence      4
subspace      131 176
Subspace of a prehilbert space      234
Sufficiently large      20
SUM      180
Sup norm      175 204
Supremum      7
Supremum norm      175
Supremum of a function      8
symmetric      5
Taxicab metric      126
Taylor expansion      61
Taylor polynomial      58
Taylor series      61
Taylor's theorem      58
Term      4 27
Termwise      5
Tietze extension theorem      144
Topological space      134
topology      135
total      193
Total order      6
Totally bounded      149
Totally disconnected      160
Transitive      6
Translation invariant      81 99
Transported      128
Triangle inequality      15 126 174
Triple recursion formula      251
Ultrametric      127
Unconditionally convergent      180
Uncountable      4
Uniform boundedness theorem      186 286
Uniform continuity theorem      49 154
Uniformly approximated      212
Uniformly continuous      49 142
Uniformly convex      186
Uniformly equicontinuous      209
Unit ball      174
Unit vector      174
Upper bound      7
Upper contour set      304
Upper integral      63 73
Upper limit      24
Upper sum      63 73
Urysohn's lemma      146
Variation      71
Vitali covering      82
Vitali covering theorem      82
Weak solution      257
Weierstrass approximation theorem      212
Weierstrass's -test      46
Weight function      235
Zermelo      299
Zorn's lemma      300

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