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Wentworth-Smith mathematical series

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12
BOOKS
7,689
PAGES
~128h 9min
READING TIME

About Author

David Eugene Smith

David Eugene Smith was an American mathematician, educator, and editor. He attended Syracuse University, graduating in 1881 (Ph. D., 1887; LL.D., 1905). He studied to be a lawyer concentrating in arts and humanities, but accepted an instructorship in mathematics at the Cortland Normal School in 1884, where he attended as a young man. He became a professor at the Michigan State Normal College in 1891 (later Eastern Michigan University), the principal at the State Normal School in Brockport, New York (1898), and a professor of mathematics at Teachers College, Columbia University (1901) where he remained until his retirement in 1926. Smith became president of the Mathematical Association of America in 1920 and served as the president of the History of Science Society in 1927. He also wrote a large number of publications of various types. He was editor of the Bulletin of the American Mathematical Society; contributed to other mathematical journals; published a series of textbooks; translated Felix Klein's Famous Problems of Geometry, Fink's History of Mathematics, and the Treviso Arithmetic. He edited Augustus De Morgan's A Budget of Paradoxes (1915) and wrote many books on Mathematics.

Description

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.

How the series evolves

beginning
Essentials of plane and solid geometry
0.0· tough start
finale
Essentials of arithmetic
0.0· messes up the ending
overall
0.0· maybe series needed more care

Books in this Series

Plane geometry

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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.

Machine-shop mathematics

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This is an excellent manual for the practical machinist. This book provides a lot of information about machine shop practice along the necessary math to turn out quality metalwork. There are many examples and exercises, the reference tables and formulae are really a good reference. Although it can be outdated by current standards this book remains a valuable reference manual for the machinist.