Mathematical papers /
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作 者：William Kingdon Clifford ; edited by Robert Tucker ; with an introd. by H. J. Stephen Smith.
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ISBN：9780821842522
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简介
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.
目录
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
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
Mathematical papers /
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