Chapter- 4.4 Ramanujan
1. Who was Srinivasa Ramanujan?
Answer: Srinivasa Ramanujan was a great Indian mathematician known for his extraordinary talent in mathematics. Despite having little formal training, he made remarkable discoveries in number theory and other areas of mathematics.
2. Who was Godfrey Harold Hardy?
Answer: Godfrey Harold Hardy was a famous English mathematician and a fellow of the Royal Society (FRS). He later recognized the genius of Ramanujan and helped him develop his mathematical work.
3. What did Hardy find on his breakfast table one morning in 1913?
Answer: One morning in early 1913, Hardy found a large untidy envelope decorated with Indian stamps among the letters on his breakfast table.
4. What did the envelope contain?
Answer: The envelope contained several sheets of paper filled with mathematical symbols and theorems written in a non-English script.
5. How did Hardy react when he first saw the manuscript?
Answer: Hardy initially looked at the manuscript without enthusiasm. He felt bored and irritated when he first glanced at it.
6. In what language was the letter written?
Answer: The letter was written in halting English by an unknown Indian mathematician.
7. What did the writer of the letter ask Hardy to do?
Answer: The writer requested Hardy to give his opinion about the mathematical discoveries mentioned in the manuscript.
8. Why did Hardy initially think the manuscript might be a fraud?
Answer: Hardy thought it might be a fraud because the theorems looked strange and fantastic, and there were no proofs given for them.
9. What kind of mathematical content was written in the manuscript?
Answer: The manuscript contained many mathematical theorems, some of which appeared unusual and imaginative.
10. Why was Hardy irritated after reading the manuscript?
Answer: Hardy was irritated because some theorems looked unrealistic and seemed to claim originality even though a few were already known.
11. What did Hardy do after putting the manuscript aside?
Answer: After putting the manuscript aside, Hardy continued with his usual daily routine.
12. Where did Hardy go after lunch?
Answer: After lunch, Hardy went to play a game of real tennis in the university court.
13. What sport would Hardy have watched if it had been summer?
Answer: If it had been summer, Hardy would have gone to Fenner's to watch cricket.
14. Why could Hardy not fully enjoy his game of tennis?
Answer: Hardy could not enjoy his game completely because the Indian manuscript kept troubling his thoughts.
15. What question started troubling Hardy's mind?
Answer: Hardy wondered whether the manuscript was written by a genius or by someone committing a clever fraud.
16. What did Hardy finally decide about the possibility of fraud?
Answer: Hardy concluded that it was unlikely that such extraordinary theorems were written by a fraud.
17. What did Hardy do after returning to his rooms?
Answer: After returning to his rooms, Hardy looked again at the manuscript more carefully.
18. Who did Hardy decide to consult about the manuscript?
Answer: Hardy decided to consult his colleague J. E. Littlewood.
19. How did Hardy send a message to Littlewood?
Answer: Hardy probably sent a messenger to inform Littlewood because he disliked using telephones.
20. Why did Hardy dislike telephones and mechanical devices?
Answer: Hardy had a deep distrust of mechanical contrivances such as telephones and even fountain pens.
21. When did Hardy and Littlewood decide to discuss the manuscript?
Answer: They decided to discuss the manuscript after dinner in the dining hall.
22. What did Hardy and Littlewood conclude before midnight?
Answer: Before midnight they realized that the writer of the manuscript was undoubtedly a mathematical genius.
23. What impressed Hardy the most about the manuscript?
Answer: Hardy was impressed by the originality and brilliance of the mathematical theorems written in the manuscript.
24. Why were the theorems considered unusual?
Answer: The theorems were unusual because they looked different from anything Hardy had seen before and were presented without proofs.
25. What does the word “manuscript” mean in the passage?
Answer: A manuscript means a handwritten document containing written material.
26. What does the phrase “nagged away” mean in the story?
Answer: “Nagged away” means something that keeps troubling or annoying a person continuously.
27. What does “epigrammatic clarity” mean?
Answer: It means expressing an idea very clearly in a short and witty way.
28. What does the word “clarity” mean?
Answer: Clarity means clearness or easy understanding.
29. Why was the envelope described as untidy?
Answer: The envelope was described as untidy because it looked messy and poorly arranged.
30. Why were the mathematical discoveries surprising to Hardy?
Answer: The discoveries were surprising because they showed deep mathematical insight from an unknown person.
31. How did Hardy feel when he first opened the envelope?
Answer: Hardy felt bored and uninterested when he first opened the envelope.
32. Why did Hardy think the manuscript was strange?
Answer: Hardy thought the manuscript was strange because it contained many unfamiliar and unusual mathematical ideas.
33. What made Hardy reconsider the manuscript later?
Answer: Hardy reconsidered the manuscript because the unusual theorems kept returning to his thoughts.
34. What role did Littlewood play in this story?
Answer: Littlewood helped Hardy examine the manuscript and confirm the genius of its writer.
35. What conclusion did Hardy and Littlewood finally reach?
Answer: They concluded that the writer of the manuscript was a man of extraordinary mathematical genius.
36. Why was the discovery of Ramanujan important?
Answer: The discovery was important because it introduced the world to one of the greatest mathematical geniuses.
37. What does the story show about Ramanujan's talent?
Answer: The story shows that Ramanujan possessed natural mathematical genius even without formal training.
38. What lesson does this story teach us?
Answer: The story teaches that true talent can come from unexpected places and should always be recognized.
39. Why did Hardy later admire Ramanujan greatly?
Answer: Hardy admired Ramanujan because of his extraordinary ability to discover complex mathematical ideas naturally.
40. What is the main idea of the lesson “Ramanujan”?
Answer: The main idea of the lesson is how Hardy discovered the genius of Ramanujan after receiving his remarkable mathematical manuscript.
