BO1.1 History of Mathematics (2021-22)
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Section outline
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This sheet corresponds to work in weeks 1 and 2, especially lectures 2 and 3 (analytic geometry and the origins of the calculus). Suggested reading is given which covers analytic geometry, mathematics and the physical world, the origins of the calculus, Newton's Principia, the initial applications of calculus, and the emerging notion of a `function'.
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This sheet corresponds to work in Weeks 3 and 4. Recommended reading is given, which covers power series, limits and continuity, 18th century analysis, the theory of equations, and the origins of abstract algebra. Essay title and discussion topic given for Class in Week 4.
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This sheet corresponds to work in Weeks 5 and 6. Recommended reading is given, which covers symbolic algebra, linear algebra, derivatives and integrals, real analysis, mathematical rigour, and the foundations of mathematics. Essay title and discussion topic given for the class in Week 6.
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This sheet corresponds to work in Weeks 7 and 8. Recommended reading is given, which covers complex analysis, number theory, and non-Euclidean geometry. Essay title and discussion topic given for the class in Week 8.
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This sheet corresponds to work in Weeks 1 and 2. Recommended reading is given covering Playfair's review of Mecanique Celeste (this reading is a bare minimum, you are expected to find further sources). The essay assignment is given, for submission by Friday 9am of Week 2, which will be discussed in the class in Week 3.
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This sheet corresponds to work in Weeks 3 and 4. Recommended reading is given covering The New Series of the Mathematical Repository (this reading is a bare minimum, you are expected to find further sources). The essay assignment is given, for submission by Friday 9am of Week 4, which will be discussed in the class in Week 5.
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This sheet corresponds to work in Weeks 5 and 6. Recommended reading is given covering the 1816 English translation of Lacroix's Elementary Treatise on the calculus (this reading is a bare minimum, you are expected to find further sources). The essay assignment is given, for submission by Friday 9am of Week 6, which will be discussed in the class in Week 7.