George Peacock and British Algebra 1800-1840

1

George Peacock and the Development of British Algebra 1800-1840

David Phillips

Contents

Introduction

2

Algebra before Peacock

3 3 3 5 6 8 8 9

Algebra in 1800

Woodhouse

The Analytical Society

Charles Babbage and ‘The Philosophy of Analysis’

Peacock’s work on Algebra

Peacock’s Aims

Arithmetical Algebra Symbolical Algebra

10 12 13 14 14 15 15 16 16 17 17 18 20 21 21 22 22 22

The Principle of the Permanence of Equivalent Forms Comparison with Babbage’s Philosophy of Analysis

Complex Numbers and Geometry

Buée

Playfair’s response to Buée

Warren’s ‘On the Geometrical Interpretation’ Peacock’s Work on Complex Numbers and Geometry

De Morgan

Criticism of Peacock

William Rowan Hamilton

Reynold’s Strictures Kelland’s Lectures

Appendix

Biographical Information

Further concept to be studied

Another fact of interest

Bibliography

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