A Treatise on Universal Algebra

An English mathematician and philosopher, Alfred North Whitehead provided the foundation for the school of thought known as process philosophy. With an academic career that spanned from Cambridge to Harvard, Whitehead wrote extensively on mathematics, metaphysis, and philosophy. He died in Massachusetts in 1947.

An introduction to universal algebra by the celebrated mathematician, physicist and philosopher.

Part I. Principles of Algebraic Symbolism: 1. On the nature of a calculus; 2. Manifolds; 3. Principles of universal algebra; Part II. The Algebra of Symbolic Logic: 1. The algebra of symbolic logic; 2. The algebra of symbolic logic (continued); 3. Existential expressions; 4. Application to logic; 5. Propositional interpretation; Part III. Positional Manifolds: 1. Fundamental propositions; 2. Straight lines and planes; 3. Quadrics; 4. Intensity; Part IV. Calculus of Extension: 1. Combinatorial multiplication; 2. Regressive multiplication; 3. Supplements; 4. Descriptive geometry; 5. Descriptive geometry of conics and cubics; 6. Matrices; Part V. Extensive Manifolds of Three Dimensions: 1. Systems of forces; 2. Groups of systems of forces; 3. In variants of groups; 4. Matrices and forces; Part VI. Theory of Metrics: 1. Theory of distance; 2. Elliptic geometry; 3. Extensive manifolds and elliptic geometry; 4. Hyperbolic geometry; 5. Hyperbolic geometry (continued); 6. Kinematics in three dimensions; 7. Curves and surfaces; 8. Transition to parabolic geometry; Part VII. The Calculus of Extension to Geometry: 1. Vectors; 2. Vectors (continued); 3. Curves and surfaces; 4. Pure vector formulae.