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## Details

Additional Physical Format: | Print version: Whitehead, Alfred North, 1861-1947. Treatise on universal algebra. Cambridge, University Press, 1898- (DLC) 12040192 (OCoLC)1739101 |
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Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Alfred North Whitehead |

ISBN: | 9780511693175 0511693176 9781108001687 1108001688 |

OCLC Number: | 609232562 |

Reproduction Notes: | Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL |

Description: | 1 online resource |

Details: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |

Contents: | 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. |

Responsibility: | By Alfred North Whitehead ... |

### Abstract:

Alfred North Whitehead (1861-1947) was equally celebrated as a mathematician, a philosopher and a physicist. This volume, published in 1898, deals with the general principles of universal algebra and covers the topics of the algebra of symbolic logic and of Grassmann's calculus of extension.
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