Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by and about scores of eminent mathematicians, economists, scientists, and others. Individual articles on "Mathematics of Motion," by Galile... read more
Concepts of Modern Mathematics by Ian Stewart In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Prelude to Mathematics by W. W. Sawyer This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition.
Great Ideas of Modern Mathematics by Jagjit Singh Internationally famous expositor discusses differential equations, matrices, groups, sets, transformations, mathematical logic, and other important areas in modern mathematics. He also describes their applications to physics, astronomy, and other fields. 1959 edition.
Mathematics: The Man-Made Universe by Sherman K. Stein Highly readable volume covers number theory, topology, set theory, geometry, algebra, and analysis, plus the primes, fundamental theory of arithmetic, probability, and more. Solutions manual available upon request. 1994 edition.
Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by and about scores of eminent mathematicians, economists, scientists, and others. Individual articles on "Mathematics of Motion," by Galileo Galilei; "Mathematics of Heredity," by Gregor Mendel; "Mathematics of Population and Food," by Thomas Robert Malthus, and many more. Informative commentary by noted mathematics scholar James R. Newman precedes each essay. Numerous figures.
James R. Newman (1907–1966) was a rare mathematician who was also a lawyer who held several administrative positions in the United States government during and after World War II, including Chief Intelligence Officer at the US Embassy in London. His mammoth four-volume World of Mathematics was first published in 1956 and reprinted by Dover in 2000. It represented the culmination of a fifteen-year effort by Newman, in his later years as a member of the Editorial Board of Scientific American, to assemble in one publication what he considered the most important essays in the field. It's the book that has introduced generations of students to the range and extent of mathematical literature. In the Author's Own Words: "The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing."
"The discovery in 1846 of the planet Neptune was a dramatic and spectacular achievement of mathematical astronomy. The very existence of this new member of the solar system, and its exact location, were demonstrated with pencil and paper; there was left to observers only the routine task of pointing their telescopes at the spot the mathematicians had marked." ― James R. Newman Critical Acclaim for The World of Mathematics: "Others with bigger and now whetted appetites will no doubt regard this book as a generous hors d’oeuvre and obtain additional fare by pursuing the numerous recommendations made by the author." ― Morris Kline, New York Herald Tribune Book Review
"Promises to be the most frequently used reference book on mathematics, as well as a delight to readers with a wide range of backgrounds." ― J.G. Kemeny, The New York Times
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