The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of SymmetrySimon and Schuster, 19 сент. 2005 г. - Всего страниц: 368 The author of The Golden Ratio tells the “lively and fascinating” story of two nineteenth-century mathematicians whose work revealed the laws of symmetry (Nature). What do Bach’s compositions, Rubik’s Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry—known as group theory—did not emerge from the study of symmetry at all, but from an equation that couldn’t be solved. For three centuries, the quintic equation resisted efforts by mathematicians to find a solution. Working independently, two great prodigies ultimately proved that it couldn’t be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn’t Be Solved is told not through abstract formulas but in a dramatic account of the lives and work of some of the greatest mathematicians in history. |
Результаты поиска по книге
Результаты 1 – 5 из 37
Стр. 15
... operation of addition or the number one in multiplication—when you add zero to a number or multiply a number by one, the number remains unchanged. We can also mirror-reflect the triangle about the three dashed lines in figure 9c. There ...
... operation of addition or the number one in multiplication—when you add zero to a number or multiply a number by one, the number remains unchanged. We can also mirror-reflect the triangle about the three dashed lines in figure 9c. There ...
Стр. 18
... operations in terms other than purely geometrical, just as we did in the case of the palindromes. Once we do that, however, the answer to the question, Can we find translation-symmetric music? is a resounding yes. As Russian crystal ...
... operations in terms other than purely geometrical, just as we did in the case of the palindromes. Once we do that, however, the answer to the question, Can we find translation-symmetric music? is a resounding yes. As Russian crystal ...
Стр. 19
... also contains ten canons, which, by construction, involve the operation of translation. In any canon (the word means “rule”), one melodic strand Figure 13 determines the rule (in terms of melodic line or rhythm). 19 SYMMETRY.
... also contains ten canons, which, by construction, involve the operation of translation. In any canon (the word means “rule”), one melodic strand Figure 13 determines the rule (in terms of melodic line or rhythm). 19 SYMMETRY.
Стр. 20
Извините, доступ к содержанию этой страницы ограничен..
Извините, доступ к содержанию этой страницы ограничен..
Стр. 21
Извините, доступ к содержанию этой страницы ограничен..
Извините, доступ к содержанию этой страницы ограничен..
Содержание
1 | |
2 eyE sdniM eht ni yrtemmyS | 29 |
3 Never Forget This in the Midst of Your Equations | 51 |
4 The PovertyStricken Mathematician | 90 |
5 The Romantic Mathematician | 112 |
6 Groups | 158 |
7 Symmetry Rules | 198 |
8 Whos the Most Symmetrical of Them All? | 233 |
Appendix 4 A Diophantine Equation | 281 |
Appendix 5 Tartaglias Verses and Formula | 282 |
Appendix 6 Adriaan van Roomens Challenge | 285 |
Appendix 7 Properties of the Roots of Quadratic Equations | 286 |
Appendix 8 The Galois Family Tree | 288 |
Appendix 9 The 1415 Puzzle | 291 |
Appendix 10 Solution to the Matches Problem | 292 |
Notes | 293 |
9 Requiem for a Romantic Genius | 262 |
Appendix 1 Card Puzzle | 277 |
Appendix 2 Solving a System of Two Linear Equations | 278 |
Appendix 3 Diophantuss Solution | 280 |
309 | |
337 | |
Другие издания - Просмотреть все
The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the ... Mario Livio Ограниченный просмотр - 2005 |
The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the ... Mario Livio Недоступно для просмотра - 2006 |
The Equation that Couldn't be Solved: How Mathematical Genius Discovered the ... Mario Livio Недоступно для просмотра - 2005 |
Часто встречающиеся слова и выражения
Abel Abel’s algebra appeared bilateral symmetry brain Cardano Cauchy century chapter creative Crelly cube cubic degrees Demante denoted described discovered Earth’s École Einstein electrons entire Évariste Galois Évariste’s examination fact famous father Ferrari Ferro figure followed force formula French Galois group Galois’s genius geometry gravity group of permutations group theory Guigniault human ideas identity instance inverse Klein known later laws of nature letter Lie groups mathe mathematician mathematics memoir metry O’Connor and Robertson objects operation paper Paris particles patterns perception physicists physics precisely problem proof properties proton psychologist published puzzle quadratic equations quantum mechanics quarks quintic equation reflection relativity result rotation Ruffini Scipione dal Ferro showed simple groups solution solvable solve spacetime special relativity speed of light spin Stéphanie’s string theory subgroup supersymmetry symmetry transformations Tartaglia theorem tion translation University whole number Woerden words young
Ссылки на эту книгу
Let There Be Light: Modern Cosmology and Kabbalah: A New Conversation ... Howard Smith, Ph.D. Ограниченный просмотр - 2010 |