Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method

 Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method

William Rowan Hamilton

Dublin : Hodges and Smith, 1853


[Breakthroughs in Mathematics] 1st ed. Bound in fine, modern leather.  Gilt stamping.  Thick octavo, 22 cm.  3 preliminary leaves, 64, lxxii, 736 pages, 1 leaf diagrams.  "Hamilton's major contribution to mathematics, quaternions, the linear algebra of rotations in space of three dimensions, came to him in a flash of inspiration. Hamilton's quaternions were important in the development of later noncommutative algebra such as matrices and vector analysis." - Norman 985. "Quaternions were invented by Hamilton. They are an extension of ordinary complex numbers and are widely used in the solution of algebraic equations of the second and higher degrees. This was, in fact, a new algebra, a discovery comparable in importance to non-Euclidean geometry." - Printing in the Mind of Man, 334.  Hamilton's Quaternions gave algebraic representation to three-dimensional space. This led to vector analysis, and the development of tenor analysis by G.F.B. Riemann and E.B. Christoffel. Hamilton's discovery helped make possible the creation of the general theory of relativity.  Landmark Writings in Western Mathematics p. 460-469.

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