[PDF] History of the Theory of Numbers, Volume II: Diophantine Analysis (Dover Books on Mathematics)

ISBN: 0486442330

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Author: Leonard Eugene Dickson | Category: Mathematics | Language: English | Page: 848 | ISBN: 0486442330 | ISBN13: 9780486442334 |

Description: The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This second volume in the series, which is suitable for upper-level undergraduates and graduate students, is devoted to the subject of diophantine analysis. It can be read independently of the preceding volume, which explores divisibility and primality, and volume III, which examines quadratic and higher forms. Featured topics include polygonal, pyramidal, and figurate numbers linear diophantine equations and congruences partitions rational right triangles triangles, quadrilaterals, and tetrahedra the sums of two, three, four, and n squares the number of solutions of quadratic congruences in n unknowns Liouville's series of eighteen articles the Pell equation squares in arithmetical or geometrical progression equations of degrees three, four, and n sets of integers with equal sums of like powers Waring's problem and related results Fermat's last theorem and many other related subjects. Indexes of authors cited and subjects appear at the end of the book.

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