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Klein F. — Elementary Mathematics From an Advanced Standpoint: Arithmetic, Algebra, Analysis
Klein F. — Elementary Mathematics From an Advanced Standpoint: Arithmetic, Algebra, Analysis



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Название: Elementary Mathematics From an Advanced Standpoint: Arithmetic, Algebra, Analysis

Автор: Klein F.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1945

Количество страниц: 283

Добавлена в каталог: 05.05.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Riemann      84 159 202 267
Rotation and expansion of space      67—73
Rotation of space      73
Runge      86 92 191 198
Schafheitlein      216
Scheffers      155 235
Schellbach      222
Schimmack      3 194 223 224
Schloemilch      235
Schoenfliess      267
School instruction, exponent and logarithm      144—146 155—156
School instruction, exposition of the formal rules of operation      10
School instruction, infinitesimal calculus      221
School instruction, introduction of negative numbers      22 28
School instruction, notion of function      205
School instruction, number-theoretic considerations      37—38
School instruction, operations with natural numbers      6—8
School instruction, transition to operations with letters      8
School instruction, treatment of fractions      27
School instruction, treatment of fractions, complex numbers      75
School instruction, treatment of fractions, irrational numbers      37
School instruction, treatment of fractions, the pendulum      187—190
School instruction, trigonometric solution of cubic equation      134—137
School instruction, uniformization of the pure equation by means of the logarithm      133—134
School mathematics, contents of      4
Schubert      8
Seeger      189
Serret      86 235
Shanks      237
Signs, quasi proof for      26
Signs, rule of      24
Simon      5 24 85 162 221
Space perception      35
Square root expressions, classification of      53
Square root expressions, significance of for constructions with ruler and compasses      50
Stifel      146
Stratton      198
Study      175 181
Sturm's theorem, geometrical equivalent of      94
Sturm, J.      94
Style of mathematical presentation      84
Tannery, J.      8
Taylor      82 153 227 232 233 234 236
Taylor's formula      223 233
Taylor's formula, analogy with Newton's interpolation formula      232
Taylor's formula, remainder term      226 231
Teachers, academic and normal school training of      7
Teachers, academic education of      1
Tensor      63 66 70 72
Terminology, different Terminology in the schools, algebraic numbers      23
Terminology, different Terminology in the schools, arithmetic      3
Terminology, different Terminology in the schools, relative numbers      23
Terminology, misleading in, algebraically soluble      140
Terminology, misleading in, irreducible      136
Terminology, misleading in, Maclaurin's series      224
Terminology, misleading in, root      140
Threshold of perception      35
Timerding      189
Transcendence of $\pi$      243—249
Transcendence of e      237—243
Triangle, notion of in spherical trigonometry, elementary      175
Triangle, notion of in spherical trigonometry, proper and improper      181—182
Triangle, notion of in spherical trigonometry, with Moebius      176 177 182—183
Triangle, notion of in spherical trigonometry, with Study      181
Triangular membranes      183—186
Trigonometric functions      see "Circular functions"
Trigonometric functions, application of to oscillations of pendulum      186—190
Trigonometric functions, application of to representation of periodic functions      190—200 see
Trigonometric functions, application of to spherical trigonometry      175—186
Trigonometric functions, calculation of      170—174
Trigonometric functions, complex fundamental function for      165
Trigonometric functions, definition by means of quadrature of circle      162
Trigonometric functions, function-theoretic discussion of      167—169
Trigonometric functions, real fundamental function for      166
Trigonometric series      190—200
Trigonometric series, approximating curves      194—196
Trigonometric series, behavior at discontinuities      197
Trigonometric series, convergence, proof of      196—198
Trigonometric series, Gibb's phenomenon      199
Trigonometric series, trigonometric interpolation      190—193
Trigonometry, spherical      175—186
Trigonometry, spherical, its place in geometry of hyperspace      178—182
Trigonometry, spherical, supplementary relations of      183—186
Tropjke      28 85 170
Uniformization      133 138
Uniformization by means of logarithm      134 159
Vector      60 63—65
Vega      173
Veronese      218 264
Versor      72
Vieta      25
Vlacq      173
Weber      4 13 23 29 86 175 182 250
Weierstrass      33 84 202 203 213
Wilbraham      198
Wolff, Chr.      216
Wolfskehl      48
Wuellner      217
Young, G. Chisholm      180
Young, W.H.      268
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