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This volume contains a facsimile reproduction of Marcel Riesz's notes of a set of lectures he delivered at the University of Maryland, College Park, between October 1957 and January 1958, which has not been formally published to date. This seminal material (arranged in four chapters), which contributed greatly to the start of modern research on Clifford algebras, is supplemented in this book by notes which Riesz dictated to E. Folke Bolinder in the following year and which were intended to be a fifth chapter of the Riesz lecture notes. In addition, Riesz's work on Clifford algebra is put into an historical perspective in a separate review by P. Lounesto. As well as providing an introduction to Clifford algebra, this volume will be of value to those interested in the history of mathematics.

Clifford algebras. --- Spinor analysis. --- Spinor analysis --- Clifford algebras