*BookRags*. (c)2017 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

## Multiple Choice Questions

**1. How did Ramanujan respond to Hardy's request for proofs?**
**(a)** He said he could not produce them. **(b)** He would send them if Hardy would help him financially. **(c)** He dragged his feet about sending them. **(d)** He sent them immediately.

**2. In his letter to Hardy, what did Ramanujan say he had discovered?**
**(a)** A mistake in Hardy's theorems. **(b)** A solution to a problem Hardy proposed. **(c)** A theory of relativity. **(d)** A function for using irrational numbers in multi-variable calculus.

**3. What did Ramanujan and Hardy develop for working with partitions?**
**(a)** The circle method. **(b)** Nested square roots. **(c)** A refinement of Euler's suggestion. **(d)** A precise method for determining partitions for prime numbers.

**4. How did Ramanujan spend all his time on returning to India?**
**(a)** With his parents. **(b)** At the school where he taught. **(c)** With his wife. **(d)** On math.

**5. What conflict did Ramanujan return to?**
**(a)** His mother and father. **(b)** His father and the authorities. **(c)** His parents with his in-laws. **(d)** His wife and his mother.

## Short Answer Questions

**1.** What was the result of Ramanujan clinging to his cultural practices?

**2.** Who developed an exact solution to the question of partitions?

**3.** With whom did Ramanujan eventually begin to develop a real relationship, according to Kanigel?

**4.** What did Hardy and Neville nominate Ramanujan to become?

**5.** What does Kanigel say Ramanujan distrusted in English society?

## Short Essay Questions

**1.** Where did Ramanujan go when he reached England?

**2.** What has been the impact of Ramanujan's work?

**3.** What problems did Ramanujan have on account of his Indian cultural practices?

**4.** What was Ramanujan's decline like, and death?

**5.** What did Ramanujan discover when P. C. Mahalanobis read him a puzzle one evening?

**6.** Describe the decline of Ramanujan's health.

**7.** What is a formalist in mathematical thinking?

**8.** What was Ramanujan's condition when he returned to India?

**9.** In what way was Ramanujan's experience of England similar to Ghandi's?

**10.** Describe Ramanujan and Hardy's work on partitions.

This section contains 767 words(approx. 3 pages at 300 words per page) |