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 142
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Stran 158
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Stran 159
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Stran 160
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Stran 161
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Vsebina
PART II | 105 |
PART III | 197 |
Appendix The Quadratic Formula | 231 |
Notes | 235 |
Bibliography | 257 |
Acknowledgments | 259 |
261 | |
Druge izdaje - Prikaži vse
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
algebra allowed angle answer appearance asked bers Bombelli called Cardano century complex numbers consider coordinates course cube roots cubic deal definition describe discussion early equal equation example experience expression fact Ferro's formula further geometric give given hand History idea identified imaginary numbers imagination kind known later least length letter look math mathematician mathematics means method minus multiply nature negative notation number line objects operation origin perhaps phrase picture plane play poem poetry polynomial positive present Press problem published quadratic quantities question radical real numbers referred rotation rules seems seen sense side simple solutions solve specific square root suggest things thought tion transformation translation tulip turn understand Univ unknown values visualize whole numbers writing written yellow