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A treatise on universal algebra with applications.

Author: Alfred North Whitehead
Publisher: Cambridge, University Press, 1898-
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Alfred North Whitehead (1861–1947) was equally celebrated as a mathematician, a philosopher and a physicist. He collaborated with his former student Bertrand Russell on the first edition of Principia Mathematica (published in three volumes between 1910 and 1913), and after several years teaching and writing on physics and the philosophy of science at University College London and Imperial College, was invited to  Read more...
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Additional Physical Format: Print version:
Whitehead, Alfred North, 1861-1947.
Treatise on universal algebra.
Cambridge, University Press, 1898-
(DLC) 12040192
(OCoLC)1739101
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  Read more...

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