## On the Development of Mathematical Thought During the Nineteenth Century |

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Abel analysis analytical arithmetic Bolyai Brit calculus Cantor Cauchy Cayley century Chasles complex numbers conception connection correspondence curves defined definite differential equations doctrine elements elliptic functions Euclidean geometry Euler expressed extension figures formula foundations func fundamental Galois Gauss generalised geometry Georg Cantor George Peacock Germany Grassmann Hankel Helmholtz Hermann Hankel ideas imaginary important infinite infinitesimal interest introduced intuition invention inverse investigations Jacob Steiner Jacobi Klein labours latter lectures Legendre Leibniz Leipzig Lobatchevski logical magnitude mathe mathematical thought mathematicians matical memoir methods metrical modern mathematics notably notion Otto Hesse philosophical physical plane Pliicker Poncelet practical principle problems Prof projection projective geometry properties published question reasoning recognised referred relations Riemann says solution Sophus Lie space symbols theorems theory of equations theory of forms theory of functions theory of groups theory of numbers tion treatment Weierstrass