Mathematicians -- B
- Charles Babbage (1792-1871)
- Born in England.
- He is considered the creator of modern computers.
- He wrote several papers on the calculus of functions for the Royal Society of London.
- Jacob Bernoulli (1654-1705)
- Born in Switzerland.
- He made important contributions to the calculus, to the infinite series, and to probability.
- Johann Bernoulli (1667-1748)
- Born in Switzerland.
- He developed the theorem of the divergence of the harmonic series.
- He solved the brachistrochrone problem, which involves the rolling of a ball in the shortest time.
- Anicius Manlius Severinus Boethius (475-526)
- Born in Rome.
- The teaching of early medieval mathematics was founded mainly on his geometry and arithmetic.
- János Bolyai (1802-1860)
- Born in Hungary.
- He introduced a formula which later became known as the space constant.
- Rafaello Bombelli (1526-1572)
- Born in Italy.
- He showed that in the irreducible case of a cubic equation the roots are all real.
- George Boole (1815-1864)
- Born in England.
- He was the founder of the modern science of mathematical logic.
- He devised a system of binary algebra that has implications for computer circuits and telephone switching.
- He made contributions to probability theory, differential equations, and the calculus of finite differences.
- Brahmagupta (598-668)
- Born in India.
- He found solutions in integers of several indeterminant equations of the first degree.
- He proved the Pythagorean property of a right-angled triangle.
- He gave expressions for the area of a triangle and of a quadrilateral inscribable in a circle in terms of their sides.
- He showed that the area of a circle is equal to that of a rectangle whose sides were the radius and semiperimeter.
- Henry Briggs (1561-1631)
- Born in England.
- He and John Napier jointly introduced, perfected, and exploited the concept of the logarithm.
- He was instrumental in bringing into common use the method of long division that has since been used.
