"The Life of Samuel Johnson, LL.D." (1791) is a biography of Dr. Samuel Johnson written by James Boswell. It is regarded as an important stage in the development of the modern genre of biography; many have claimed it as the greatest biography written in English. While Boswell's personal acquaintance with his subject only began in 1763, when Johnson was 54 years old, Boswell covered the entirety of Johnson's life by means of additional research. The biography takes many critical liberties with Johnson's life, as Boswell makes various changes to Johnson's quotations and even censors many comments. Regardless of these actions, modern biographers have found Boswell's biography as an important source of information. The work was popular among early audiences and with modern critics, but some of the modern critics believe that the work cannot be considered a proper biography. James Boswell (1740–1795) was a lawyer, diarist, and author born in Edinburgh, Scotland. He is best known for the biography he wrote of one of his contemporaries, the English literary figure Samuel Johnson, which the modern Johnsonian critic Harold Bloom has claimed is the greatest biography written in the English language.

In the history of mathematics there are many situations in which cal- lations were performed incorrectly for important practical applications. Let us look at some examples, the history of computing the number ? began in Egypt and Babylon about 2000 years BC, since then many mathematicians have calculated ? (e. g. , Archimedes, Ptolemy, Vi` ete, etc. ). The ?rst formula for computing decimal digits of ? was disc- ered by J. Machin (in 1706), who was the ?rst to correctly compute 100 digits of ?. Then many people used his method, e. g. , W. Shanks calculated ? with 707 digits (within 15 years), although due to mistakes only the ?rst 527 were correct. For the next examples, we can mention the history of computing the ?ne-structure constant ? (that was ?rst discovered by A. Sommerfeld), and the mathematical tables, exact - lutions, and formulas, published in many mathematical textbooks, were not veri?ed rigorously [25]. These errors could have a large e?ect on results obtained by engineers. But sometimes, the solution of such problems required such techn- ogy that was not available at that time. In modern mathematics there exist computers that can perform various mathematical operations for which humans are incapable. Therefore the computers can be used to verify the results obtained by humans, to discovery new results, to - provetheresultsthatahumancanobtainwithoutanytechnology. With respectto our example of computing?, we can mention that recently (in 2002) Y. Kanada, Y. Ushiro, H. Kuroda, and M.