A Concise History of Mathematics
This compact, well-written history — first published in 1948, and now in its fourth revised edition — describes the main trends in the development of all fields of mathematics from the first available records to the middle of the 20th century. Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.
Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others. For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others.
"The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.
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LibraryThing ReviewUser Review - bnielsen - LibraryThing
Indeholder "Introduction", "The Beginnings", "The Ancient Orient", "Greece", "The Orient after the Decline of Greek Society", "The Beginnings in Western Europe", "The Seventeenth Century", "The ... Read full review
The Ancient Orient
The Orient After the Decline of Greek Society
The Beginnings in Western Europe
The Seventeenth Century
The Eighteenth Century
The Nineteenth Century
The First Half of the Twentieth Century
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ahout ahstract algehraic analysis analytical ancient antiquity appeared Arahic Archimedes arithmetic astronomy axiom Bahylonian Berlin calculus calculus of variations Camhridge Cantor century Chinese Chinese mathematics computational concept contrihutions curves d'Alemhert decimal deﬁned deﬁnition Descartes developed differential equations differential geometry difﬁculties Diophantus discovery edition Egyptian Emmy Noether estahlished Euclid Euler Felix Klein ﬁelds ﬁgures ﬁnd ﬁnite ﬁrst foundations fractions functions Gauss geometry Gottingen Greek Greek mathematics hased hecame hecause heen hefore hegan heginning helongs hetween Hilhert history of mathematics hodies hook hoth hrought inﬁnite inﬂuence integral introduced Klein Lagrange Laplace later Leihniz Leipzig Math mathematicians Mathematik mathématiques mechanics method Newton non-Euclidean geometry notation numher Oriental Oriental mathematics papers Paris Pascal period philosophy possihle professor prohahility prohlems projective geometry puhlic puhlished quadratic Riemann rigorous Russian scientiﬁc so-called solution suhject symhols tahles texthooks texts theorem theory tion translation trigonometric variahle Weierstrass York