Mathematical Papers by William Kingdon Clifford (AMS Chelsea Publishing)

Mathematical Papers by William Kingdon Clifford (AMS Chelsea Publishing)

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Description

William Clifford (1845-1879) was an important mathematician of his day. He is most remembered today for his invention of Clifford algebras, which are fundamental in modern differential geometry and mathematical physics. His ideas on the connection between energy and matter and the curvature of space were important in the eventual formulation of general relativity. Clifford was particularly interested in non-Euclidean geometry. However, in his relatively brief career, he made contributions to diverse fields of mathematics: elliptic functions, Riemann surfaces, biquaternions, motion in Euclidean and non-Euclidean space, spaces of constant curvature, syzygies, and so on. He was also well-known as a teacher and for his ideas on the philosophy of science. This work covers the life and mathematical work of Clifford, from his early education at Templeton (Exeter) to King's College (London), to Trinity (Cambridge) and ultimately to his professorship at University College (London)--a post which he occupied until the time of his death. Tucker discusses Clifford's Fellowship at the Royal Society and his Council post at the London Mathematical Society. His papers and talks are presented and peppered with entertaining anecdotes relating Clifford's associations with his private tutor, family members, and his wide circle of personal friends and professional colleagues.

Contents

On the types of compound statement involving four classes Enumeration of the types of compound statements On some porismatic problems Proof that every rational equation has a root On the space-theory of matter On Jacobians and polar opposites On the principal axes of a rigid body Synthetic proof of Miquel's theorem On the hypotheses which lie at the bases of geometry Analogues of Pascal's theorem Analytical metrics On the general theory of anharmonics On a generalization of the theory of polars On syzygetic relations among the powers of linear quantics On syzygetic relations connecting the powers of linear quantics On the theory of distances On a case of evaporation in the order of a resultant On a theorem relating to polyhedra, analogous to Mr. Cotterill's theorem on plane polygons Geometry on an ellipsoid Preliminary sketch of biquaternions Graphic representation of the harmonic components of a periodic motion On the transformation of elliptic functions Notes on the communication entitled "On the Transformation of Elliptic Functions" On in-and-circumscribed polyhedra On a canonical form of spherical harmonics On the free motion under no forces of a rigid system in an $n$-fold homaloid On the canonical form and dissection of a Riemann's surface Remarks on the chemico-algebraical theory Notes on quantics of alternate numbers, used as a means for determining the invariants and co-variants of quantics in general Applications of Grassmann's extensive algebra Binary forms of alternate variables On Mr. Spottiswoode's contact problems On the classification of loci On the powers of spheres A fragment of matrices On tricircular sextics On Bessel's functions On groups of periodic functions Theory of marks of multiple theta-functions On the double theta-functions Motion of a solid in elliptic space Further note on biquaternions On the classification of geometric algebras On the theory of screws in a space of constant positive curvature Remarks on a theory of the exponential function derived from the equation $\frac{du} {dt}=pu$ Notes on vortex-motion, on the triple-generation of three-bar curves, and on the mass-centre of an octahedron Geometrical theorem On triangular symmetry On some extensions of the fundamental proposition in M. Chasles's theory of characteristics Instruments used in measurement Instruments illustrating kinematics, statics, and dynamics Appendix Algebraic introduction to elliptic functions On elliptic functions Notes of lectures on quaternions Syllabus of lectures on motion Lecture notes Analysis of Lobatschewsky The polar theory of cubics On pfaffians Analysis of Cremona's transformations Bitangent circles of a conic Of power-coordinates in general Theory of powers Reviews: De Morgan's budget of paradoxes; Dr. Booth's new geometrical methods Problems and solutions from the Educational Times Syllabus of ten lectures to ladies on geometry delivered at S. Kensington Syllabus of lectures on synthetic geometry and graphical statics Notes Index.

Product Details

  • ISBN13: 9780821842522
  • Format: Hardback
  • ID: 9780821842522
  • ISBN10: 0821842528

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