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A Concise History of Mathematics: Dover Books on Mathematics

Autor Dirk J. Struik
en Limba Engleză Paperback – 31 oct 1987 – vârsta de la 12 ani
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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Specificații

ISBN-13: 9780486602554
ISBN-10: 0486602559
Pagini: 256
Ilustrații: 41 illustrations
Dimensiuni: 137 x 215 x 13 mm
Greutate: 0.27 kg
Ediția:Revised
Editura: Dover Publications
Seria Dover Books on Mathematics

Locul publicării:United States

Cuprins

INTRODUCTION I. THE BEGINNINGS II. THE ANCIENT ORIENT III. GREECE IV. THE ORIENT AFTER THE DECLINE OF GREEK SOCIETY V. THE BEGINNINGS IN WESTERN EUROPE VI. THE SEVENTEENTH CENTURY VII. THE EIGHTEENTH CENTURY VIII. THE NINETEENTH CENTURY IX. THE FIRST HALF OF THE TWENTIETH CENTURY INDEX

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Descriere

Revised 4th edition covers major mathematical ideas and techniques from ancient Near East to 20th-century computer theory. Work of Archimedes, Pascal, Gauss, Hilbert, etc.