James F. Millis
Also known as: James Franklin Millis
Most acclaimed
Solid geometry
1899
In world history, post-classical history refers to the period from about 500 CE to about 1450 or 1500 CE, roughly corresponding to the European Middle Ages following the decline of the western Roman Empire. The post-classical period is characterized by the expansion of certain civilizations geographically, by ongoing wars fought over land, resources and religion, and by the development of trade networks between often-distant civilizations. This period is also called—with various implications and emphases—the medieval era, the post-antiquity era, the post-ancient era, or the pre-modern era. In Asia and the Middle East during this time, the spread of Islam helped produce a series of caliphates which fostered the Islamic Golden Age, leading to advances in science and greater trade between those in the Asian, African, and European continents. East Asia experienced the entrenchment of the power of a unitary and Imperial China, the dynastic governance and culture of which influenced Japan, Korea and Vietnam.
Plane geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting (projective space) and a selective set of basic geometric concepts. The basic intuitions are that projective space has more points than Euclidean space, for a given dimension, and that geometric transformations are permitted that transform the extra points (called "points at infinity") to Euclidean points, and vice versa. Properties meaningful for projective geometry are respected by this new idea of transformation, which is more radical in its effects than can be expressed by a transformation matrix and translations (the affine transformations). The first issue for geometers is what kind of geometry is adequate for a novel situation.
Higher arithmetic
1919
Francis Amasa Walker (July 2, 1840 – January 5, 1897) was an American economist, statistician, journalist, educator, academic administrator, and an officer in the Union Army. As a prolific author and the third president of the Massachusetts Institute of Technology (MIT) until his death in 1897, Walker was a leading political economist and advocate for a policy of bimetallism by international agreement. His scholarly contributions are widely recognized as having broadened, liberalized, and modernized economic and statistical theory with contributions to wages, wealth distribution, money, and social economics, and he is credited with developing the residual theory of wage distribution. Walker was born into a prominent Boston family, the son of the economist and politician Amasa Walker, and he graduated from Amherst College at the age of 20. He received a commission to join the 15th Massachusetts Infantry and quickly rose through the ranks as an assistant adjutant general.