The Mathematical Experience |
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Page 240
... argument . We reason as follows . The formula asserts the equality of two quantities associated with a circle with a radius of 1 : its area and half its circumference . Thus if the formula is false , one of these quantities is larger ...
... argument . We reason as follows . The formula asserts the equality of two quantities associated with a circle with a radius of 1 : its area and half its circumference . Thus if the formula is false , one of these quantities is larger ...
Page 260
... arguments of course work for all the other coeffi- cients . This beautifully simple argument is based completely on the fact that S πT cos mx cos nx dx = 0 if m is different from n . ( A similar formula holds for sines ) . This property ...
... arguments of course work for all the other coeffi- cients . This beautifully simple argument is based completely on the fact that S πT cos mx cos nx dx = 0 if m is different from n . ( A similar formula holds for sines ) . This property ...
Page 347
... argument . A counterexam- ple which challenges one step in the argument is called by Lakatos a " local counterexample " ; a counterexample which challenges , not the argument , but the conclusion it- self , he calls a global ...
... argument . A counterexam- ple which challenges one step in the argument is called by Lakatos a " local counterexample " ; a counterexample which challenges , not the argument , but the conclusion it- self , he calls a global ...
Other editions - View all
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |
The Mathematical Experience: Study Edition Philip J. Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 1995 |
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