| Did You Say Mathematics? | |
| Tác giả: | Ya. Khurgin |
| Ký hiệu tác giả: |
KH-Y |
| Dịch giả: | George Yankovsky |
| DDC: | 510 - Toán học |
| Ngôn ngữ: | Anh |
| Số cuốn: | 1 |
Hiện trạng các bản sách
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| A FEW WORDS WITH THE READER | 9 |
| Mathematician and physiologist get together in September | 12 |
| Mathematician and physiologist get together in Decembers | 20 |
| A radio engineer needs math | 25 |
| One last word to the reader | 31 |
| WHAT DO YOU THINK ABOUT MATHE- MATICS? | 33 |
| What is mathematics all about? | 35 |
| A little historical background | 36 |
| RUBBER-SHEET MATHEMATICS | 41 |
| Mathematics and art | 47 |
| Continuous transformations | 47 |
| A remarkable surface | 55 |
| Graphs | 58 |
| NUMBERS AND POINTS | 71 |
| THE MATHEMATICS OF A SADDLE | 88 |
| Extrema | 96 |
| Extremal curves | 106 |
| The epoch of Euler | 108 |
| Soap bubbles | 110 |
| MATHEMATICIANS ARE NOT ALL ALIKE | 114 |
| Where do axioms come from? | 116 |
| Two ways of reasoning | 117 |
| Induction and mathematical induction | 125 |
| The drama of equation solving-an historical sketch | 129 |
| ENGINEER CONSULTS MATHEMATICIAN | 136 |
| What is better? | 141 |
| Criteria | 147 |
| Optimization | 150 |
| How close? | 152 |
| Mary and Maude | 155 |
| Integrals-not so terrible after all | 157 |
| Space, distance, norm | 162 |
| Terms and where they come from | 169 |
| The problems of an oil engineer | 172 |
| Choosing a job | 174 |
| Model building | 184 |
| Mathematical models | 187 |
| Events and their models | 191 |
| Does one really need a mathematical model? | 197 |
| Modelling the oil-refining process | 206 |
| YOU PROBABLY LIKE THIS BOOK | 209 |
| Probability theory. Some background | 212 |
| Random events | 213 |
| Probability | 214 |
| An experiment and what came of it | 216 |
| Engineer consults mathematician | 222 |
| Experimenter and statistician | 227 |
| Decision making | 231 |
| Intuition and birthdays | 234 |
| Intuition and luck | 239 |
| Random walks | 246 |
| The drunkard's walk | 258 |
| The random-walk student | 260 |
| INFORMATION | 268 |
| Memory and codes | 271 |
| Information and what it's all about | 278 |
| Quantitative measures | 282 |
| The capacity of a communication channel | 288 |
| Coding | 290 |
| A language model and the transmission of information | 295 |
| Basic principle of the theory of the trans- mission of information | 297 |
| What about the content? | 300 |
| MATHEMATICAL MACHINES AND WHAT THEY CAN DO | 303 |
| The psychiatrist drops in for a talk | 310 |
| Pattern recognition | 318 |
| Technical diagnostics | 327 |
| Medical diagnostics | 338 |
| Replacing doc with a diagnostic machine | 347 |
| What is our life? A game... | 349 |
| One final word to the reader | 360 |
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