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By Carl B. Boyer, Uta C. Merzbach

ISBN-10: 0470630566

ISBN-13: 9780470630563

The up-to-date re-creation of the vintage and accomplished advisor to the historical past of arithmetic. (Third Edition)

For greater than 40 years, A heritage of arithmetic has been the reference of selection for these seeking to find out about the interesting background of humankind's dating with numbers, shapes, and styles. This revised variation beneficial properties updated assurance of themes akin to Fermat's final Theorem and the Poincaré Conjecture, as well as contemporary advances in components corresponding to finite staff thought and computer-aided proofs.

• Distills millions of years of arithmetic right into a unmarried, approachable volume
• Covers mathematical discoveries, techniques, and thinkers, from historical Egypt to the present
• comprises updated references and an intensive chronological desk of mathematical and basic old developments.

Whether you're attracted to the age of Plato and Aristotle or Poincaré and Hilbert, even if you need to comprehend extra in regards to the Pythagorean theorem or the golden suggest, A background of arithmetic is an important reference that can assist you discover the tremendous heritage of arithmetic and the boys and girls who created it.

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Math. (Basel) 28 (1977) 491—494; MR0444590 (56 #2940). -H. Fischer, Eine Bemerkung zur Verteilung der pythagor¨aischen Zahlentripel, Monatsh. Math. 87 (1979) 269—271; MR0538759 (80m:10034). Errata and Addenda to Mathematical Constants 46 [143] H. Jager, On the number of pairs of integers with least common multiple not exceeding x, Nederl. Akad. Wetensch. Proc. Ser. A 65 (1962) 346—350; Indag. Math. 24 (1962) 346—350; MR0148634 (26 #6141). [144] S. K. K. V. Kumchev and R. NT/0502007. [145] R. E.

Math. 15 (1985) 343—352; MR0823246 (87e:11112). [132] K. Ford, The number of solutions of ϕ(x) = m, Annals of Math. NT/9907204; MR1715326 (2001e:11099). [133] P. Erd¨os, C. Pomerance and E. Schmutz, Carmichael’s lambda function, Acta Arith. 58 (1991) 363—385; MR1121092 (92g:11093). [134] Yu. V. Nesterenko, Modular functions and transcendence questions (in Russian), Mat. Sbornik, v. 187 (1996) n. 9, 65—96; Engl. transl. in Russian Acad. Sci. Sbornik Math. 187 (1996) 1319—1348; MR1422383 (97m:11102).

S. Ferguson, J. P. Hardwick and M. Tamaki, Maximizing the duration of owning a relatively best object, Strategies for Sequential Search and Selection in Real Time, Proc. , ed. F. T. Bruss, T. S. Ferguson and S. M. Samuels, Amer. Math. , 1992, pp. 37—57; MR1160608 (93h:60066). [312] S. M. Samuels, Why do these quite different best-choice problems have the same solutions? Adv. Appl. Probab. 36 (2004) 398—416; MR2058142 (2005f:60097). [313] L. A. Shepp, Explicit solutions to some problems of optimal stopping, Annals of Math.

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A History of Mathematics by Carl B. Boyer, Uta C. Merzbach


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