A treatise on universal algebra: with applications
Alfred North Whitehead
Cambridge: The University Press, 1898.
v
Subjects:
Algebra, Universal
Permanent link to this monograph: http://projecteuclid.org/euclid.chmm/1263316509
ISBN:1-4297-0032-7
There are no known copyright restrictions in the United States on the use of this text. More information on rights issues associated with public domain texts can be found at http://cdl.library.cornell.edu/guidelines.html.
Miscellaneous front pages
Book I: Principles of algebraic symbolism
Chapter I: On the nature of a calculus
1-12
Chapter II: Manifolds
13-17
Chapter III: Principles of universal algebra
18-32
Book II: The algebra of symbolic logic
Chapter I: The algebra of symbolic logic
33-44
Chapter II: The algebra of symbolic logic (continued)
45-82
Chapter III: Existential expressions
83-98
Chapter IV: Application to logic
99-106
Chapter V: Propositional interpretation
107-116
Book III: Positional manifolds
Chapter I: Fundamental propositions
117-131
Chapter II: Straight lines and planes
132-143
Chapter III: Quadrics
144-161
Chapter IV: Intensity
162-168
Book IV: Calculus of extension
Chapter I: Combinatorial multiplication
169-180
Chapter II: Regressive multiplication
181-198
Chapter III: Supplements
199-213
Chapter IV: Descriptive geometry
214-228
Chapter V: Descriptive geometry of conics and cubics
229-247
Chapter VI: Matrices
248-269
Book V: Extensive manifolds of three dimensions
Chapter I: Systems of forces
271-283
Chapter II: Groups of systems of forces
284-299
Chapter III: Invariants of groups
300-315
Chapter IV: Matrices and forces
316-346
Book VI: Theory of metrics
Chapter I: Theory of distance
347-370
Chapter II: Elliptic geometry
371-398
Chapter III: Extensive manifolds and elliptic geometry
399-413
Chapter IV: Hyperbolic geometry
414-440
Chapter V: Hyperbolic geometry (continued)
441-455
Chapter VI: Kinematics in three dimensions
456-477
Chapter VII: Curves and surfaces
478-495
Chapter VIII: Transition to parabolic geometry
496-502
Book VII: Application of the calculus of extension to geometry
Chapter I: Vectors
503-522
Chapter II: Vectors (continued)
523-538
Chapter III: Curves and surfaces
539-547
Chapter IV: Pure vector formulæ
548-575
