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. |
Iz vsebine knjige
Zadetki 1–5 od 49
Stran iv
... Bombelli manuscript from Per la storia e la filosofia delle matematiche by E. Bortolotti , courtesy of Zanichelli Editore S.P.A. , Bologna , Italy . Owing to limitations of space , all other acknowledgments for permission to reprint ...
... Bombelli manuscript from Per la storia e la filosofia delle matematiche by E. Bortolotti , courtesy of Zanichelli Editore S.P.A. , Bologna , Italy . Owing to limitations of space , all other acknowledgments for permission to reprint ...
Stran vii
... Seeing and squinting 15. Double negatives 16. Are tulips. 12. The problem of describing how we imagine 13. Noetic , imaginary , impossible 31. The argument between Cardano and Tartaglia 32. Bombelli's L'Algebra. Imagining Numbers: CONTENTS.
... Seeing and squinting 15. Double negatives 16. Are tulips. 12. The problem of describing how we imagine 13. Noetic , imaginary , impossible 31. The argument between Cardano and Tartaglia 32. Bombelli's L'Algebra. Imagining Numbers: CONTENTS.
Stran viii
... Bombelli's Puzzle 65 77 91 107 33. " I have found another kind of cubic radical. 31. The argument between Cardano and Tartaglia 32. Bombelli's L'Algebra 45. Many hands 46. Imagining the dynamics of multiplication by. viii CONTENTS.
... Bombelli's Puzzle 65 77 91 107 33. " I have found another kind of cubic radical. 31. The argument between Cardano and Tartaglia 32. Bombelli's L'Algebra 45. Many hands 46. Imagining the dynamics of multiplication by. viii CONTENTS.
Stran ix
... Bombelli's puzzle 44. Interviewing Bombelli Chapter 9 Putting Geometry into Numbers 132 157 Chapter 10 Seeing the Geometry in the Numbers 53. Critical. 45. Many hands 46. Imagining the dynamics of multiplication by V - 1 : algebra and ...
... Bombelli's puzzle 44. Interviewing Bombelli Chapter 9 Putting Geometry into Numbers 132 157 Chapter 10 Seeing the Geometry in the Numbers 53. Critical. 45. Many hands 46. Imagining the dynamics of multiplication by V - 1 : algebra and ...
Stran x
... Formula 231 Notes 235 Bibliography Acknowledgments. 63. Bombelli's cubic radicals revisited : Dal Ferro's expression as algorithm 64. Form and content 65. But ... square feet VA feet The square root as " side. X CONTENTS.
... Formula 231 Notes 235 Bibliography Acknowledgments. 63. Bombelli's cubic radicals revisited : Dal Ferro's expression as algorithm 64. Form and content 65. But ... square feet VA feet The square root as " side. X CONTENTS.
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
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