The Mathematical Theory of the Top: Lectures Delivered on the Occasion of the Sesquicentennial Celebration of Princeton University
This collection of essays by a distinguished mathematician and teacher examines important issues of dynamics from the viewpoint of the theory of functions of the complex variable. Based on a series of lectures delivered by Felix Klein in conjunction with Princeton University’s 150th anniversary, these presentations center on the problem inherent in the motion of a top—that is, a rigid body rotating about an axis—when a single point in this axis other than the center of gravity is fixed in position. The contents of this volume render discussions of dynamics-related issues simpler, more attractive, and relevant not only to mathematicians but also to engineers, physicists, and astronomers. Unabridged republication of the classic 1897 edition.
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algebraic analytical apex arcs axes becomes infinite branch point centre of gravity coefficients complex values congruent constants construct corre corrected republication curve traced defined degree determined differential equations discussion dynamics edition published elementary elliptic curves elliptic integrals equivalent points expressions factor Felix Klein figure finite fixed in space fixed point fixed sphere formulas func geometrical hexagon hyperelliptic integrals i-plane infinite number Jacobi James Clerk Maxwell Lagrange lecture linear logarithmic discontinuity mathematics mechanical method multiplicative elliptic functions non-Euclidean geometry non-Euclidean space obtain orthogonal substitution parallelogram of periods plane Poinsot motion point of support positive half-sheets possible prime-forms problem Psu2 quotients r-functions real axis reckoning rectangle relation represents respect Riemann surface rigid body rotation segments series of equivalent sheets simply spherical top sponding stereographic projection symmetrical theory of functions third kind tion top's motion transformation Unabridged republication uniform functions variable w-plane x+iy