A concise history of mathematics by Dirk J. Struik

By Dirk J. Struik

This compact, well-written background — first released in 1948, and now in its fourth revised version — describes the most developments within the improvement of all fields of arithmetic from the 1st to be had documents to the center of the 20 th century. scholars, researchers, historians, experts — briefly, everybody with an curiosity in arithmetic — will locate it engrossing and stimulating.
Beginning with the traditional close to East, the writer lines the guidelines and methods constructed in Egypt, Babylonia, China, and Arabia, having a look into such manuscripts because the Egyptian Papyrus Rhind, the 10 Classics of China, and the Siddhantas of India. He considers Greek and Roman advancements from their beginnings in Ionian rationalism to the autumn of Constantinople; covers medieval eu rules and Renaissance traits; analyzes seventeenth- and 18th-century contributions; and gives an illuminating exposition of nineteenth century strategies. each vital determine in mathematical historical past is handled — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and plenty of others.
For this most modern version, Dr. Struik has either revised and up-to-date the present textual content, and likewise further a brand new bankruptcy at the arithmetic of the 1st half the 20 th century. Concise insurance is given to set concept, the impact of relativity and quantum concept, tensor calculus, the Lebesgue essential, the calculus of diversifications, and different very important principles and ideas. The e-book concludes with the beginnings of the pc period and the seminal paintings of von Neumann, Turing, Wiener, and others.
"The author's skill as a firstclass historian in addition to an capable mathematician has enabled him to provide a piece that's definitely one of many best." — Nature Magazine.

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583-585. [9] E. Prochnow and D. F. Edwards: Applied Optics, Vol. 25 (1986), pp. 2639-2640. Q. Wang: Lapping/Polishing Machine for Optical Parts and its Application in Lapping/ Polishing Sapphire Wafers, CN Patent 1,546,283, 2003. S. F. M. Grimes: Semiconductor International, Vol. 18 (1995), pp. 115 -118. [12] T. Fukami, H. Masumura, K. Suzuki and H. Kudo: Method of Manufacturing Semiconductor Mirror Wafers, European Patent Application EP0782179A2, 1997. J. R. Billingsley and S. Miura: International Journal of Machine Tools and Manufacture, Vol.

Laser Technologies. Laser technology in assisting grinding was first proposed by Westkamper [2] for dressing and truing of CBN grinding wheels. Laser dressing poses the risk of thermal damage, bond material resolidification (in case of metal bond), grit damage or graphitization of diamond grits and high initial setup cost, but Hosokawa [3] reported successful elimination of most of these problems with Nd:YAG laser. Laser assisted mechanical dressing uses laser irradiation to soften the bond material and the following cutter removes it with ease [4].

18 (1995), pp. 115 -118. [12] T. Fukami, H. Masumura, K. Suzuki and H. Kudo: Method of Manufacturing Semiconductor Mirror Wafers, European Patent Application EP0782179A2, 1997. J. R. Billingsley and S. Miura: International Journal of Machine Tools and Manufacture, Vol. 39 (1999), pp. 1103–1116. J. Pietsch and M. Kerstan: Simultaneous Double-disk Grinding Machining Process for Flat, Low-damage and Material-saving Silicon Wafer Substrate Manufacturing, Proceeding of the 2nd Euspen International Conference, Turin, Italy, (2001), pp.

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