Alfred North Whitehead

A Treatise On Universal Algebra

With Applications; Volume 1

• Gebundenes Buch

Produktdetails

• Verlag: Creative Media Partners, LLC
• Seitenzahl: 616
• Erscheinungstermin: 27. Oktober 2022
• Englisch
• Abmessung: 234mm x 156mm x 33mm
• Gewicht: 1034g
• ISBN-13: 9781016268349
• ISBN-10: 1016268343
• Artikelnr.: 66930464

Inhaltsangabe

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.