Principles of Geometry

by Baker, H. F.

• ISBN13: 9781108017824
• ISBN10: 1108017827
• Edition: 1st
• Format: Paperback
• Copyright: 2010-10-31
• Publisher: Cambridge Univ Pr

Summary

Henry Frederick Baker (1866-1956) was a renowned British mathematician specialising in algebraic geometry. He was elected a Fellow of the Royal Society in 1898 and appointed the Lowndean Professor of Astronomy and Geometry in the University of Cambridge in 1914. First published between 1922 and 1925, the six-volume Principles of Geometry was a synthesis of Baker's lecture series on geometry and was the first British work on geometry to use axiomatic methods without the use of co-ordinates. The first four volumes describe the projective geometry of space of between two and five dimensions, with the last two volumes reflecting Baker's later research interests in the birational theory of surfaces. The work as a whole provides a detailed insight into the geometry which was developing at the time of publication. This, the second volume, describes the principal configurations of space of two dimensions.

Table of Contents

Preface

Algebraic correspondence

Schubert's calculus. Multiple correspondence

Transformations and involutions for the most part in a plane

Preliminary properties of surfaces in three and four dimensions

Introduction to the theory of the invariants of birational transformation of a surface, particularly in space of three dimensions

Surfaces and primals in four dimensions. Formulae for intersections

Illustrative examples and particular theorems

Index

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