A treatise on universal algebra. With applications. Reprint of the 1898 original. (English) Zbl 1205.15005

Cambridge Library Collection - Mathematics. Cambridge: Cambridge University Press (ISBN 978-1-108-00168-7/pbk). xxvi, 586 p. (2009).
Publisher’s description: 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 Harvard to teach philosophy and the theory of education. This book was originally published in 1898 [A. N. Whitehead, A treatise on universal algebra. Vol. I. Cambridge: The University Press; New York: The Macmillan Co. (1898; JFM 29.0066.03)], and was intended to be the first of two volumes, though the second (which was to cover quaternions, matrices and the general theory of linear algebras) was never published. This book discusses the general principles of the subject and covers the topics of the algebra of symbolic logic and of Grassmann’s calculus of extension.


15-03 History of linear algebra
01A75 Collected or selected works; reprintings or translations of classics
01A60 History of mathematics in the 20th century
03B35 Mechanization of proofs and logical operations


JFM 29.0066.03