Titlebook: Mathematics and Its History; John Stillwell Textbook 20022nd edition Springer-Verlag New York 2002 algebraic number theory.elliptic functi

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John Stillwelllogues of this anticoagulant drug. A chemically synthesized pentasaccharide which mimics the ATIII binding site in heparin molecule is in Phase II clinical trials for the management of post-surgical thromboembolic disorder. Several other synthetic analogues including hypersulfated lactobionic acid (

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Archipelago

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Number Theory in Asia,al concepts of mathematics can be found there. This does not mean, however, that the Greeks discovered everything first, or that they did everything best. We have already seen that the Pythagorean theorem was known in Babylon earlier than in Greece, and that Pythagorean triples were understood bette

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Projective Geometry,ancient times, and some Roman artists seem to have achieved correct perspective by the first century BCE; an impressive example is shown in Wright (1983), p. 38. However, this may have been a stroke of individual genius rather than the success of a theory, because the vast majority of ancient painti

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Mechanics,thesis that mechanics was psychologically, if not logically, a prerequisite for calculus itself. The remainder of the chapter expands on this thesis, demonstrating how several important fields in calculus (and beyond) originated in the study of mechanical problems. Lack of space, not to mention lack

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Complex Numbers in Algebra, (Section 6.7), classification of cubic curves (Section 8.4), branch points (Section 10.5), genus (Section 11.3), and behavior of elliptic functions (Sections 11.6 and 12.6)—are clarified by the introduction of complex numbers.