At the age of 9, Mach was sent to a liberal arts middle school to receive a classical humanities education. But Mach has no interest in the adage that "the fear of God is the end of wisdom". His father personally taught him Greek, Latin, modern languages, history, geometry and other courses.
1853, Mach passed the entrance examination and entered Creme Hill Senior Liberal Arts Middle School. He doesn't like religious prayer training, but he is interested in mathematics and science, Lamarck's theory of evolution and Kant-Laplace's theory of universe formation.
From 65438 to 0855, Mach entered Vienna University, majoring in mathematics and physics. 1860, Mach got a doctorate. 1864 was appointed professor of mathematics at Graz university, 1867 was appointed professor of physics at Prague university, 1879- 1880 was appointed president of Prague university, 1895 was appointed professor of philosophy at Vienna university, and he presided over a lecture on inductive philosophy specially set up for him. Mach applied physics to the study of physiology and psychology. Mach questioned the mathematical form of Fechner's law, that is, the magnitude of sensation is directly proportional to the logarithm of its stimulus. Through research, Mach confirmed that the relationship between "physical" stimulus and "psychological" response is only proportional and does not obey strict mathematical measurement. The famous physicists Helmholtz and Boyce-Raymond's research in physiology and psychology provided favorable conditions for Mach's scientific research. Brain physiologist Brooke's speech is very attractive to Mach. Mach formed his own point of view on this basis. 19 13 moved to Germany.
1864, Mach was appointed professor of mathematics. During the period of 1864- 1867, he taught mathematics, physics, physiology and psychology, and achieved important research results in the interdisciplinary fields of these disciplines. He discovered a physiological phenomenon that was later called the Maher belt.
In 1865, Mach wrote that the whole experience is not just the sum of the perceptual parts. In the works of modern psychology, Mach is listed as one of the pioneers of gestalt psychology or gestalt psychology.
1867, Mach was a professor of physics at Prague University, and later he was the president of Prague University and German University respectively. 190 1 became a member of the Austrian house of lords. He has made great achievements in mechanics, acoustics, optics, heat, fluid mechanics and electricity. The principle of ultrasonic wave and Mach number named after it are put forward. Mach number has become a common concept in fluid mechanics, that is, the ratio of the speed of an object (such as an airplane) to the speed of sound in fluid. Expressed as m, when M= 1, a shock wave is formed, M >；; At 1, it is supersonic, m.