Advanced Engineering Mathematics By Jain And Iyengar 4th Edition Pdf

Contents • • • • • • • • • • • • • Early life [ ] Bose was born in (now Kolkata), the eldest of seven children in a family. He was the only son, with six sisters after him. His ancestral home was in the village Bara Jagulia, in the district of, in the state of. His schooling began at the age of five, near his home. When his family moved to Goabagan, he was admitted into the New Indian School. In the final year of school, he was admitted into the. He passed his entrance examination () in 1909 and stood fifth in the order of merit.

He next joined the intermediate science course at the, Calcutta, where his teachers included,,. Bose chose mixed (applied) mathematics for his BSc and passed the examinations standing first in 1913 and again stood first in the MSc mixed mathematics exam in 1915. It is said that his marks in the MSc examination created a new record in the annals of the University of Calcutta, which is yet to be surpassed. After completing his MSc, Bose joined the as a research scholar in 1916 and started his studies in the.

Iyengar is the author of Advanced Engineering Mathematics (4.12 avg rating, 519 ratings, 46 reviews, published 2002), Engineering Mathematics (4.1.

It was an exciting era in the history of scientific progress. Had just appeared on the horizon and important results had started pouring in. His father, Surendranath Bose, worked in the Engineering Department of the. In 1914, at age 20, Satyendra Nath Bose married Ushabati Ghosh, the 11-year-old daughter of a prominent Calcutta physician. They had nine children, two of whom died in early childhood. When he died in 1974, he left behind his wife, two sons, and five daughters.

As a, Bose was well versed in several languages such as, English, French, German and as well as the poetry of,. He could play the, an Indian musical instrument similar to a violin. He was actively involved in running night schools that came to be known as the Working Men's Institute. Research career [ ] Bose attended in Calcutta, and later, also in Calcutta, earning the highest marks at each institution, while fellow student and future astrophysicist came second.

He came in contact with teachers such as, Prafulla Chandra Ray and Naman Sharma who provided inspiration to aim high in life. From 1916 to 1921, he was a lecturer in the of the. Along with Saha, Bose prepared the first book in English based on German and French translations of original papers on Einstein's special and general relativity in 1919.

In 1921, he joined as of the department of Physics of the recently founded (in present-day Bangladesh). Bose set up whole new departments, including laboratories, to teach advanced courses for MSc and BSc honours and taught as well as 's of. Satyendra Nath Bose, along with Saha, presented several papers in theoretical physics and pure mathematics from 1918 onwards.

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In 1924, while working as a Reader (Professor without a chair) at the Physics Department of the, Bose wrote a paper deriving without any reference to by using a novel way of counting states with identical particles. This paper was seminal in creating the very important field of. Though not accepted at once for publication, he sent the article directly to in Germany. Einstein, recognising the importance of the paper, translated it into German himself and submitted it on Bose's behalf to the prestigious.

As a result of this recognition, Bose was able to work for two years in European X-ray and crystallography laboratories, during which he worked with,, and Einstein. Bose–Einstein statistics [ ]. (2) Since the coins are distinct, there are two outcomes which produce a head and a tail. The probability of two heads is one-quarter. The reason Bose's interpretation produced accurate results was that since photons are indistinguishable from each other, one cannot treat any two photons having equal energy as being two distinct identifiable photons. By analogy, if in an alternate universe coins were to behave like photons and other, the probability of producing two heads would indeed be one-third (tail-head = head-tail). Bose's interpretation is now called.

This result derived by Bose laid the foundation of, and especially the revolutionary new philosophical conception of the indistinguishability of particles, as acknowledged by Einstein and Dirac. When Einstein met Bose face-to-face, he asked him whether he had been aware that he had invented a new type of statistics, and he very candidly said that no, he wasn't that familiar with 's statistics and didn't realize that he was doing the calculations differently. He was equally candid with anyone who asked. Velocity-distribution data of a gas of atoms, confirming the discovery of a new phase of matter,.