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

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Projective Geometry,twentieth-century mathematics texts. Figure 8.1 shows a fifteenth-century artistic example from Wright (1983), p. 41, alongside a twentieth-century mathematical example from the exposé of Grünbaum (1985).]
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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.
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John StillwellStilwell‘s style and exposition are unique.New examples on Chinese and Indian number theory
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Springer-Verlag New York 2002
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The Theorem of Pythagoras,If there is one theorem that is known to all mathematically educated people, it is surely the theorem of Pythagoras. It will be recalled as a property of right-angled triangles: the square of the hypotenuse equals the sum of the squares of the other two sides (Figure 1.1).
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Analytic Geometry,The basic idea of analytic geometry is the representation of curves by equations, but this is not the whole idea. If it were, then the Greeks would be considered the first analytic geometers.
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