√лавна€    Ex Libris     ниги    ∆урналы    —татьи    —ерии     аталог    Wanted    «агрузка    ’удЋит    —правка    ѕоиск по индексам    ѕоиск    ‘орум   
blank
јвторизаци€

       
blank
ѕоиск по указател€м

blank
blank
blank
 расота
blank
Klee V., Wagon S. Ч Old and New Unsolved Problems in Plane Geometry and Number Theory (Dolciani Mathematical Expositions Series #11)
Klee V., Wagon S. Ч Old and New Unsolved Problems in Plane Geometry and Number Theory (Dolciani Mathematical Expositions Series #11)

„итать книгу
бесплатно

—качать книгу с нашего сайта нельз€

ќбсудите книгу на научном форуме



Ќашли опечатку?
¬ыделите ее мышкой и нажмите Ctrl+Enter


Ќазвание: Old and New Unsolved Problems in Plane Geometry and Number Theory (Dolciani Mathematical Expositions Series #11)

јвторы: Klee V., Wagon S.

јннотаци€:

Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.


язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1991

 оличество страниц: 352

ƒобавлена в каталог: 09.04.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
blank
ѕредметный указатель
$pi(\pi)$      50 239Ч243 248Ч257 261
$\Delta$-set      48 120
$\gamma$      210 219 249Ч250 264
$\phi$-function      see "Euler $\phi$-function"
$\pi(x)$      182Ч183 218Ч219
$\sigma(n)$      179
$\zeta(s)$      see "Riemann zeta function"
3n+1 conjecture      191Ч194 225Ч229
Acute triangle      7 10 270
Adleman, L.M.      200 221Ч222
Aiming, N.H.      132Ч133 135
al-Banna, I.      180
Alcoholic drinks      242
Alexander, R.      87
Algebraic curve      106
Algebraic numbers      243 246 256
Allowable sequence      100Ч102 108 280Ч281
Almering, J.H.      132 204Ч205 302
Alon, N.      109
Amicable numbers      180Ч181
Amman, R.      114
Anderson, C.W.      213
Ang, D.      132
Anisohedral      40
Aperiodic tiling      38 112Ч115
Apery, R.      249 263
Appel, K.      xii 120
ARC      67 69 148Ч149 299
Archimedes      1
Arcwise connected      69 148Ч149
Area      16Ч17 19 21Ч24 86Ч87 91Ч94 279Ч280
Arithmetic-geometric mean      252Ч254 260
Art Gallery Theorem      9Ч11 76Ч77 271
Avis, D.      87 98
Bailey, D.      253 256
Balanced      109Ч110
Balint, V.      95 106
Balintova, A.      106
Ball      see "Sphere"
Banach Ч Tarski paradox      128Ч129
Banach, S.      128 130
Barnette, D.      120
Barycentric coordinates      147
Barycentric subdivision      150 298
Beck, J.      103 107
Beckman, F.S.      123
Bellamy, D.P.      148
Benda, M.      124 127
Berger, M.      76
Bernoulli numbers      199 262 264 314
Besicovitch, A.S.      92 132
Beukers, F.      263
Bezdek, A.      117
Bezdek, K.      78 92
Bhascara      132
Bhattachaiya, B.K.      87
Bialostocki, A.      101
Biggs, N.L.      120
Billiard path      6Ч8 10Ч11 269Ч272
Bing, R.H.      145 147Ч149
Birkhoff, G.D.      73
Bistriczky, K.      97
Blaschke, W.      80
Bleicher, M.N.      206Ч207
Bohl, P.      145
Boldrighini, C.      71
Bollobas, B.      87
Bondy, J.A.      146
Borsuk's problem      93Ч94
Borsuk, K.      93
Bouligand, G.      87
Brahmegupta      132
Brent Ч Salamin formula      252 253
Brent, R.P.      213 252
Breusch, R.      207
Brocard, H.      174 203
Brouwer fixed-point theorem      66 70 146Ч147 297Ч298
Brouwer, L.E.J.      145
Brown, R.F.      148
Buchholz, R.H.      204Ч205
Buhler, J.P.      170 221
Butler, g.j.      80
Campbell, P.      207
Cantor, G.      258
Capoyleas, V.      87
Caustic      7 74Ч76
Cayford, A.H.      90
Chakerian, G.D.      92 94
Champemowne's number      239 245 251 253
Champernowne, D.      251
Chilakamarri, K.B.      124 127
Chord      12
Chromatic number      45Ч49 120Ч127 289Ч291
Chudnovsky, D.      253
Chudnovsky, G.      253
Chvdtal, V.      77
circle      7 10Ч12 15 21 69 116 270Ч271 see "Inversion"
Circle-squaring      50Ч52 129 200 240
Circumscribed figures      60Ч61
Clarkson, K.L.      103
Cobham, A.      258Ч259
Cohen, G.L.      213
Collatz, L.      225
Collinear      56
Coloring      9 11 45 120 see
Computable set      213 226
Concydic      34 56
Condict, J.      213
Congruent by dissection      51Ч52
conic      106
Connecting line      29Ч35 103Ч110 281Ч285
Connelly, R.      92
Connett, J.E.      71
Constant width      22 24 75 272 295Ч296
Continuous shrinking      16 19 86 88 277
Continuum      66 68Ч70 138 141 145Ч150
Convex hull      87 276Ч278
Convex polygon      23 25Ч28 95Ч102 280Ч281 see
Convex set      1 12
Conway, J.      226
Coppersmith, D.      201
Corradi, K.      118
Cover      21Ч24 91Ч94
Coxeter, H.S.M.      105Ч106
Crandall, R.E.      170 200 225
Croft, H.T.      3 73
Crotty, J.M.      81
Cryptography      222Ч223
Crystallographic group      115
Csima, J.      105
cube      94 118 280
Cunningham, F.      93
Curvature      273
Cyclic      see "Concydic"
Dantzig, G.B.      288
Danzer, L.      88 117
Davies, R.O.      92
Davis, M.      230
Daykin, D.E.      132Ч133
de Bruijn, N.G.      94 105 124 282
de Craveiro Carvalho, F.J.      84
de Fermat, P.      168 171
de Moivre Ч Stirling approximation to n!      28
de Moivre's formula      131 264
Debrunner, H.      126
Degree      145Ч146
Dehn, M.      129
Dekster, B.V.      124
Dense billiard path      6 71Ч73
Dense set      54 57 132Ч135
Descartes, R.      180Ч181 214
DeTemple, D.W.      75
Diameter      21Ч24 91Ч94 279Ч280
Dickson, L.E.      132 181 211
Dierker, P.      101
Diophantine equations      174 195Ч197 204 230Ч232
Diophantus      168
Dirac, G.A.      80 103
Dirichlet's theorem      211
Dirichlet, P.G.L.      169
Disk      see "Circle"
Dissection      xii 42 44 51Ч52 119 287Ч288
Dobkin, D.P.      98
Douady, R.      74
Double normal      272
Drilling square holes      22
Dubins, L.      130
Duff, G.E.D.      91
e      210 215 239Ч240 243 250 255Ч257 293
Eberstark, H.      241
Eccentricity      14 273
Edelsbrunner, H.      98 103
Edwards, H.M.      201
Eggleston, H.G.      92 204 295
Ehrhart, E.      80
Elkies, N.      171
Elliott, P.D.T.A.      105Ч106 281
ellipse      5 10 15 74 79 81Ч83 270 272Ч273
Ellipsoid      75Ч76
Emch, A.      137
Engel, A.      52
Engel, P.      118
Equichordal point      12 15 80Ч85 272
Equidecomposable sets      50 128Ч130
Equidissection      42Ч43 119 286
Equipower point      84
Equiproduct point      12 15 84 273
Equireciprocal point      12 15 84 273
Erdoes, P.      3 94Ч95 98 103 105 107Ч108 124 132Ч133 135 168 176 180 192 206Ч207 212 282
Euclid      1 179
Eudid Ч Euler formula      179 213
Euler $\phi$-function      74
Euler, L.      169Ч171 179 212 217 240 248Ч249 261Ч262
Everett, C.J.      225
Ewald, G.      78
Falconer, K.J.      3 122
Faldngs, G.      169Ч170 201Ч202 300
Fejes Toth, G.      97 111
Fejes Toth, L.      3 116
Fenn, R.      142
Ferguson, H.      256 263Ч264
Fermat numbers      210Ч211 221
Fermat's last theorem      xi 45 167Ч172 196 199Ч202 231
Fermat's little theorem      187Ч188 256 307Ч308
fibonacci      175 206
Fibonacci numbers      230Ч231 233 245
Filaseta, M.      201Ч202
Fischer, K.G.      127
Fisher's Inequality      283
Fisk, S.      77
Fixed-point property      66Ч70 145Ч150 297Ч299
Fixed-point theorem      see "Brouwer fixed-point theorem"
Fiye, R.      171
Focus      5 10 15 270
Forcade, R.W.      256
Four color theorem      xii 45 120
Fouviy, E.      200
Franel, J.      251
Frankl, P.      121Ч122
Fredman, M.L.      87
Fujiwara, M.      80
Gale, D.      87 287
Galperin, G.A.      73
Gardner, M.      111 120
Gardner, R.      80 84 130
Garner, L.      226
Gauss, C.F.      182Ч183 252
Gelfond, A.O.      255Ч256
General position      25Ч26 29 100Ч101 110
Germain, S.      200
Gillies, D.B.      209Ч210
Girault-Beauquier, D.      115
God      180
Goedel's theorem      195Ч196 231
Goldwasser, S.      222
Goodman, J.E.      99
Goodstein's theorem      231 233
Graham, R.L.      93 136 146 168 207
Granville, A.      170 200
Graph      109 145Ч149
Greedy algorithm      175Ч177
Greenwell, D.      123
Groemer, H.      94
Gromov, M.L.      87 139
Gruber, P.      3 74Ч75
Gruenbaum B.      3 88Ч89 92 94 103 106 111 114 117 139 286
Gruenert, J.A      172
Guibas, L.J.      103
Guillemin, V.      74
Guinness Book of Records      242
Guy, R.K.      3 71 133 168
Habicht, W.      275
Hadwiger, H.      3 87 120 122 126
Hagis, P.      212Ч213
Hagopian, G L.      148Ч149
Hajos, G.      118
Haken, W.      xiЧxii 120
Hales, A.W.      116
Half-line      10
Hallstrom, A.      80
Hammer, J.      3
Hansen, H.G      91
Hansen, S.      105Ч107
Harary, F.      124
Harborth, H.      98 132Ч133
Hardy, G.H.      72
Hartmanis Ч Stearns Conjecture      247 258
Hausdorff, F.      128
Hayashi, T.      80
Head, A.K.      222
Heath-Brown, D.R.      200
Helly's theorem      90 278
Helly, E.      90
Heptagon      44 286
Hermite, G.      214 255
Heron triangle      174 204Ч205 302
Heron's formula      174 302
Hexagon      23 36Ч37 40 43 46 94 111 114 132 139
Hilbert's tenth problem      195Ч197 230Ч232
Hilbert, D.      195 255Ч256
Hirsch, M.      130
Hirschhorn, M.D.      112
Hoffman, A.J.      288
Holt, F.      71
Homeomoiphic      66Ч67
Homothet      57Ч60 65 139
Hopf, H.      140
Horton, J.D.      98
Hu, T.G.      288
Huang, M.      222
Hunt, D.G.      112
Hunter, J.A.H.      203
Illumination      3Ч6 9Ч11 71 76Ч79 269Ч273
Imai, H.      87
incidence      29Ч35 103Ч107 109Ч110 145Ч146 149 281Ч285 298
Inkeri, K.      169Ч170
Inscribed figures      58Ч65 137Ч144 295Ч297
inversion      34 281Ч282
Irregular prime      199Ч200
Isbell, I.R.      132
1 2 3
blank
–еклама
blank
blank
HR
@Mail.ru
       © Ёлектронна€ библиотека попечительского совета мехмата ћ√”, 2004-2017
Ёлектронна€ библиотека мехмата ћ√” | Valid HTML 4.01! | Valid CSS! ќ проекте