World of Mathematics

A monumental four-volume reference 15 years in the making,The World of Mathematicswas specially designed to make mathematics more accessible to the inexperienced. It comprises nontechnical essays on every aspect of the vast subject, including articles by and about scores of eminent mathematicians, as well as literary figures, economists, biologists, and many other eminent thinkers. This unique compendium includes the work of Archimedes, Galileo, Descartes, Newton, Gregor Mendel, Edmund Halley, Jonathan Swift, John Maynard Keynes, Henri Poincaré, Lewis Carroll, George Boole, Bertrand Russell, Alfred North Whitehead, John von Neumann, and many others. In addition, an informative commentary by distinguished scholar James R. Newman precedes each essay or group of essays, explaining their relevance and context in the history and development of mathematics.Volume I (ISBN 41153-2; Parts I-IV) features a general survey of the nature of mathematics; historical and biographical information on prominent mathematicians throughout history; material on arithmetic, numbers, and the art of counting; and the mathematics of space and motion. Individual essays include "Gauss, the Prince of Mathematicians" by Eric Temple Bell; "Calculating Prodigies" by W. W. Rouse Ball; "The Seven Bridges of Königsburg" by Leonhard Euler; and more than 30 others. 768pp.Volume II (ISBN 41150-8; Parts V-VII) covers the broad areas of mathematics and the physical world, mathematics and social science, and the laws of chance. Individual articles include "Mathematics of Motion" by Galileo Galilei; "Mathematics of Heredity," by Gregor Mendel; "Mathematics of Population and Food" by Thomas Robert Malthus; "Chance" by Henri Poincaré; "The Application of Probability to Conduct" by John Maynard Keynes; and dozens of others. 720pp.Volume III (ISBN 41151-6; Parts VIII-XVII) contains essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the unreasonableness of mathematics, the vocabulary of mathematics, and mathematics as an art. Essays encompass "The Law of Large Numbers" by Jacob Bernoulli; "The Vice of Gambling and the Virtue of Insurance" by George Bernard Shaw; "Mathematics and the Metaphysicians" by Bertrand Russell; and 30 more. 624pp.Volume IV (ISBN 41152-4; Parts XVIII-XXVI) considers such topics as mathematical machines; mathematics in warfare; a mathematical theory of art; mathematics of the good; mathematics in literature; mathematics and music; and amusements, puzzles, and fancies. Individual contributions include "Can a Machine Think?" by A. M. Turing; "Young Archimedes" by Aldous Huxley; "Mathematics of Music" by Sir James Jeans; "What the Tortoise Said to Achilles and Other Riddles" by Lewis Carroll; and two dozen more. 464pp.With its wealth of fascinating facts, abundance of anecdotes, and accessibility, this four-volume set will be exceptionally valuable to professional and amateur mathematicians alike. 1956 edition.Newman, James R. is the author of 'World of Mathematics', published 2003 under ISBN 9780486432687 and ISBN 0486432688.