Author | Phillips, George M. author |
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Title | Two Millennia of Mathematics [electronic resource] : From Archimedes to Gauss / by George M. Phillips |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2000 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1180-8 |
Descript | XII, 223 p. online resource |
1 From Archimedes to Gauss -- 1.1 Archimedes and Pi -- 1.2 Variations on a Theme -- 1.3 Playing a Mean Game -- 1.4 Gauss and the AGM -- 2 Logarithms -- 2.1 Exponential Functions -- 2.2 Logarithmic Functions -- 2.3 Napier and Briggs -- 2.4 The Logarithm as an Area -- 2.5 Further Historical Notes -- 3 Interpolation -- 3.1 The Interpolating Polynomial -- 3.2 Newtonโs Divided Differences -- 3.3 Finite Differences -- 3.4 Other Differences -- 3.5 Multivariate Interpolation -- 3.6 The Neville-Aitken Algorithm -- 3.7 Historical Notes -- 4 Continued Fractions -- 4.1 The Euclidean Algorithm -- 4.2 Linear Recurrence Relations -- 4.3 Fibonacci Numbers -- 4.4 Continued Fractions -- 4.5 Historical Notes -- 5 More Number Theory -- 5.1 The Prime Numbers -- 5.2 Congruences -- 5.3 Quadratic Residues -- 5.4 Diophantine Equations -- 5.5 Algebraic Integers -- 5.6 The equation x3 + y3 = z3 -- 5.7 Euler and Sums of Cubes -- References