AMS Chelsea Publishing 1968; 658 pp; hardcover Volume: 210 ISBN10: 0821842528 ISBN13: 9780821842522 List Price: US$62 Member Price: US$55.80 Order Code: CHEL/210.H
 William Clifford (18451879) 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 nonEuclidean geometry. However, in his relatively brief career, he made contributions to diverse fields of mathematics: elliptic functions, Riemann surfaces, biquaternions, motion in Euclidean and nonEuclidean space, spaces of constant curvature, syzygies, and so on. He was also wellknown 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. Readership 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 spacetheory 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 inandcircumscribed 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 chemicoalgebraical theory
 Notes on quantics of alternate numbers, used as a means for determining the invariants and covariants 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 thetafunctions
 On the double thetafunctions
 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 vortexmotion, on the triplegeneration of threebar curves, and on the masscentre 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 powercoordinates 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
