FREE BOOKS

Author's List




PREV.   NEXT  
|<   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169  
170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   >>   >|  
I am. I lose my way again. The stubborn axe makes its opening without always letting in sufficient light. The book is just a book, that is to say, a set text, saying not a word more than it is obliged to, exceedingly learned, I admit, but, alas, often obscure! The author, it seems, wrote it for himself. He understood; therefore others must. Poor beginners, left to yourselves, you manage as best you can! For you, there shall be no retracing of steps in order to tackle the difficulty in another way; no circuit easing the arduous road and preparing the passage; no supplementary aperture to admit a glimmer of daylight. Incomparably inferior to the spoken word, which begins again with fresh methods of attack and is ready to vary the paths that lead to the open, the book says what it says and nothing more. Having finished its demonstration, whether you understand or no, the oracle is inexorably dumb. You reread the text and ponder it obstinately; you pass and repass your shuttle through the woof of figures. Useless efforts all: the darkness continues. What would be needed to supply the illuminating ray? Often enough, a trifle, a mere word; and that word the book will not speak. Happy is he who is guided by a master's teaching! His progress does not know the misery of those wearisome breakdowns. What was I to do before the disheartening wall that every now and then rose up and barred my road? I followed d'Alembert's precept in his advice to young mathematical students: 'Have faith and go ahead,' said the great geometrician. Faith I had; and I went on pluckily. And it was well for me that I did, for I often found behind the wall the enlightenment which I was seeking in front of it. Giving up the bad patch as hopeless, I would go on and, after I had left it behind, discover the dynamite capable of blasting it. 'Twas a tiny grain at first, an insignificant ball rolling and increasing as it went. From one slope to the other of the theorems, it grew to a heavy mass; and the mass became a mighty projectile which, flung backwards and retracing its course, split the darkness and spread it into one vast sheet of light. D'Alembert's precept is good and very good, provided you do not abuse it. Too much precipitation in turning over the intractable page might expose you to many a disappointment. You must have fought the difficulty tooth and nail before abandoning it. This rough skirmishing leads to intellectual vigor. Twelve
PREV.   NEXT  
|<   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169  
170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   >>   >|  



Top keywords:

difficulty

 

precept

 

darkness

 

retracing

 

Alembert

 

seeking

 

hopeless

 

discover

 

Giving

 

enlightenment


pluckily

 

mathematical

 
barred
 

wearisome

 

breakdowns

 
disheartening
 

geometrician

 

advice

 

dynamite

 
students

theorems

 

turning

 

intractable

 

expose

 
precipitation
 

provided

 

disappointment

 
skirmishing
 

intellectual

 

Twelve


fought

 

abandoning

 
insignificant
 

rolling

 

increasing

 

blasting

 

backwards

 
spread
 
projectile
 

misery


mighty

 

capable

 

supply

 

beginners

 

manage

 

tackle

 

daylight

 
glimmer
 

Incomparably

 

inferior