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Mathematical Papers by William Kingdon Clifford
Edited by: Robert Tucker

AMS Chelsea Publishing
1968; 658 pp; hardcover
Volume: 210
ISBN-10: 0-8218-4252-8
ISBN-13: 978-0-8218-4252-2
List Price: US$62
Member Price: US$55.80
Order Code: CHEL/210.H
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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.


Graduate students and research mathematicians.

Table of 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
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