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