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| Авторизация |
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| Ivanov O.A. — Easy as Pi?: An Introduction to Higher Mathematics |
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| Предметный указатель |
Optical property of ellipse 131
Order 7
Order of a group 83
Order of an element in a group 39 43
Orientation-preserving isometry 125
Ornament 40
Orthogonal matrix 125
Orthogonal system 59
Orthogonal transformation 39
Ostrovskii's theorem 173
p-adic number field 173
Pairing in a graph 98
Parametrization of circle 66
Parametrization of curve 61
Parametrization of ellipse 61
Parity in a graph 88
Parseval's equation 60
Partition of a natural number 24
Pascal's triangle 17
Path in a graph 87
Pathwise connected 66 96
Pauli matrices 125
Peano, axioms of 5
Pendulum 148 152
Period of a function 107
Period of an ornament 40
Permutation 72
Picard method of solution of a d.e. 1
Pigeon-hole principle 103 111 115
Pinetree principle 11
Planar realization of a graph 91
Poincare's recurrence theorem 105
Polya xiii
Polygon, simple plane 95
Polyhedron, regular 93
Polynomials, elementary symmetric 72
Polynomials, irreducible 81
Polynomials, prime 81
Polynomials, relatively prime 68
Polynomials, symmetric 72
Potential 147
potential energy 147
Power series 21 28 138
Prime number 82 113 172
Prime polynomial 81
Prime subfield 157
Principal ideal domain 81
Principle of least action 131
Pythagoras' theorem 59
Pythagorean triples 66
Quadrature 150
Quaternions 120
Quaternions, purely imaginary 125
Quaternions, unimodular 126
Quotient group 117
Quotient ring 25
Radius of curvature 136
Rational function 67 158
Rational number 155
Rational parametrization 67 69
Rational polynomial 80
Real numbers 156
Recurrence relation 2 17 20 26 28
Recurrent point 106
Recursion 2
Reflection 33
Reflection, glide 40
Regular point 144
Regular polyhedron 93
Regular value 144
Regular value of a polynomial 144
Relation 3 255 267 268
Relation in a group 39 41
Relatively prime numbers 67 74 83 174
Relatively prime polynomials 68
Remainder 105 113
Representation of a positive integer 113
Representation of greatest common factor 44
Resultant 76
| Ring of formal power series 22
Ring of polynomials 73
Root 144
Root of a polynomial 68 70 71 80 122
Roots 68 70
Roots, common 75
Rotation 34 106
Rules of differentiation 129 135
Schwarz' inequality 59
SEQUENCE 52 53 137 141 149 156 161 162 167 168 170
Sequence, nonstandard 161 162
Set-of representatives 98
Skew-field of quaternions 120
Small oscillations 149
Smoothness class 145
Snell's law 131
Solution set 64
Space of continuous functions 56 141
Space, metric 139
Space, metric, complete 140
Stable equilibrium point 149
Stable roots 142
Standard part of a hyperreal number 159
Stereographic projection 93
Stiefel's theorem 121
Stirling's formula 29
Subalgebra 124
Subfield 81
Subgroup 40
Subgroup, closed 40 107
Subset, closed 35
Subset, compact 52
Subset, connected 66
Subset, convex 35 55
Subset, dense 78 106
Substitution in an integral 29
Symmetry group 38 40 43
Symmetry, axial 33 40
Symmetry, central 33 40
System of differential equations 107 108 109 147 149
System of one degree of freedom 147
System of small oscillations 151
Tangent line 129
Tangent vector 130 131 132
Tangent vector field 121
Tesselation 43
tetrahedron 94
topology 66 121
Torus 94
Tower of Hanoi 1
Trajectory 147
Trajectory, period of 150
Trajectory, stationary 149
Translation 33 40 110
Translation principle in nonstandard analysis 159 171
Transpose matrix 125
TREE 20 89 91
Tree, labelled 20
Ultrafilter 170
Unimodular quaternions 126
union 63 161
Unit ball 56 111 115
Upper number of a cut 164
Valency of a vertex of a graph 87
Vandermonde determinant 71
Variational system 108
Vector 35 42 50 55 116 121 128
Vector space 81
Velocity 130 134
Vertex of a graph 87
Viete 72 75
Volume 111 115 119
Volume-preserving 110
Weierstrass' theorem 52 57 163
Wirtinger's inequality 59
wronskian 107
Young tableau 25 27
Young's inequality 54 57 59
Zero-divisor 118 122
Zorn's lemma 170
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