Imagining Numbers: (particularly the Square Root of Minus Fifteen)Macmillan, 2003 - 270 σελίδες 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--Publisher's description. |
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Σελίδα
... multiply 5-15 by 5-1-15 ... b Later on , we too will be multiplying such numbers , but to see what is meant by canceling out cross- multiples when you perform the requested multiplica- tion , note that the product of 5-15 and 5-1-15 ...
... multiply 5-15 by 5-1-15 ... b Later on , we too will be multiplying such numbers , but to see what is meant by canceling out cross- multiples when you perform the requested multiplica- tion , note that the product of 5-15 and 5-1-15 ...
Σελίδα viii
... multiplication 28. The distributive law and its momentum 29. Virtuous circles versus vicious circles 30. So , why does minus times minus equal plus ? PART II Chapter 7 Bombelli's Puzzle 31. The argument between Cardano and Tartaglia 32 ...
... multiplication 28. The distributive law and its momentum 29. Virtuous circles versus vicious circles 30. So , why does minus times minus equal plus ? PART II Chapter 7 Bombelli's Puzzle 31. The argument between Cardano and Tartaglia 32 ...
Σελίδα ix
... multiplication by V - 1 : algebra and geometry mixed 47. Writing and singing 48. The power of notation 49. A plane of numbers 50. Thinking silently , out loud 51. The complex plane of numbers 52. Telling a straight story 132 157 Chapter ...
... multiplication by V - 1 : algebra and geometry mixed 47. Writing and singing 48. The power of notation 49. A plane of numbers 50. Thinking silently , out loud 51. The complex plane of numbers 52. Telling a straight story 132 157 Chapter ...
Σελίδα x
... Multiplying in the complex plane . The geometry behind multiplication by V - 1 , by 1 + V - 1 , and by ( 1 + √3 ) / 2 57. How can I be sure my guesses are right ? 58. What is a number ? 59. So , how can we visualize multiplication in ...
... Multiplying in the complex plane . The geometry behind multiplication by V - 1 , by 1 + V - 1 , and by ( 1 + √3 ) / 2 57. How can I be sure my guesses are right ? 58. What is a number ? 59. So , how can we visualize multiplication in ...
Σελίδα xv
Λυπούμαστε, το περιεχόμενο αυτής της σελίδας είναι περιορισμένο.
Λυπούμαστε, το περιεχόμενο αυτής της σελίδας είναι περιορισμένο.
Περιεχόμενα
II | 3 |
III | 25 |
IV | 42 |
V | 65 |
VI | 77 |
VII | 91 |
VIII | 107 |
IX | 132 |
XI | 180 |
XII | 199 |
XIII | 215 |
XIV | 231 |
XV | 235 |
XVI | 257 |
XVII | 259 |
261 | |
Άλλες εκδόσεις - Προβολή όλων
Imagining Numbers: (particularly the square root of minus fifteen) Barry Mazur Περιορισμένη προεπισκόπηση - 2004 |
Imagining Numbers: (Particularly the Square Root of Minus Fifteen) Barry Mazur Περιορισμένη προεπισκόπηση - 2004 |
Imagining Numbers: (particularly the Square Root of Minus Fifteen) Barry Mazur Περιορισμένη προεπισκόπηση - 2003 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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 John Ashbery L'Algebra Magna magnitude 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 ratio of whole real numbers real-number referred rotation Scarry sect Servois solutions solve square root subtraction Tartaglia things Thomas Lux three cube roots tion tive trans transformation translation treatise tulip Univ unknown Viète visualize word writing yellow zero
Αναφορές για αυτό το βιβλίο
Fearless Symmetry: Exposing the Hidden Patterns of Numbers Avner Ash,Robert Gross Περιορισμένη προεπισκόπηση - 2006 |