Imagining Numbers: (particularly the Square Root of Minus Fifteen)Macmillan, 2003 - 270 strani How the elusive imaginary number was first imagined, and how to imagine it yourself "Imagining Numbers (particularly the square root of minus fifteen)" is Barry Mazur's invitation to those who take delight in the imaginative work of reading poetry, but may have no background in math, to make a leap of the imagination in mathematics. Imaginary numbers entered into mathematics in sixteenth-century Italy and were used with immediate success, but nevertheless presented an intriguing challenge to the imagination. It took more than two hundred years for mathematicians to discover a satisfactory way of "imagining" these numbers. With discussions about how we comprehend ideas both in poetry and in mathematics, Mazur reviews some of the writings of the earliest explorers of these elusive figures, such as Rafael Bombelli, an engineer who spent most of his life draining the swamps of Tuscany and who in his spare moments composed his great treatise "L'Algebra." Mazur encourages his readers to share the early bafflement of these Renaissance thinkers. Then he shows us, step by step, how to begin imagining, ourselves, imaginary numbers. |
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Stran 7
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Stran 29
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Vsebina
PART II | 105 |
PART III | 197 |
Appendix The Quadratic Formula | 231 |
Notes | 235 |
Bibliography | 257 |
Acknowledgments | 259 |
261 | |
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Imagining Numbers: (particularly the square root of minus fifteen) Barry Mazur Omejen predogled - 2004 |
Imagining Numbers: (Particularly the Square Root of Minus Fifteen) Barry Mazur Omejen predogled - 2004 |
Imagining Numbers: (particularly the Square Root of Minus Fifteen) Barry Mazur Omejen predogled - 2003 |
Pogosti izrazi in povedi
90 degrees Abraham De Moivre algebra André Weil angle answer Ashbery's axis bers Bombelli Brann called Cardano Cartesian coordinates complex numbers complex plane cube roots cubic equations cubic radicals decimal definition discussion distributive law equa equation X3 example expression Ferro's formula Français Français's geometric George Lakoff Gergonne Girolamo Cardano give given horizontal imaginary numbers imagination intentionally left blank L'Algebra Magna magnitude Manjul Bhargava math mathematician mathematics minus times minus Moivre Moivre's multiply negative numbers notation number line operation of multiplication Oresme phrase picture poem poetry Poincaré conjecture polynomial positive number positive whole numbers Press problem prose quadratic formula quantities question real numbers real-number referred rotation Scarry sect solutions solve specific square root subtraction Tartaglia things three cube roots tion tive trans transformation translation treatise tulip Univ unknown Viète visualize word writing yellow zero