Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into five volumes, divided thematically for easy reference by individuals interested in a particular subject. Current topics of research such as K-theory and Gauge theory are covered, and there are also co-authored papers in the areas of theoretical physics, mathematical education, and other related topics.
Table of contents:
EARLY PAPERS: A note on the tangents of a twisted cubic. Complex fibre bundles and ruled surfaces. Formes de seconde espèce sur une variété algebrique. Integrals of the secon kind on an algebraic variety. On the Krull-Schmidt theorem with application to sheaves. Complex analytical connections in fibre bundles. Vector bundles over an elliptic curve. On analytical surfaces with double points. Some examples of complex manifolds. GENERAL PAPERS: The role of algebraic topology in mathematics. Wandel und Fortschritt in der Mathematik. How research is carried out. Global geometry. William Vallance Douglas Hodge 1903-1975. Singularities of functions. Trends in pure mathematics. The unity of mathematics. What is geometry? An interview with Michael Atiyah. Speech on conferment of the Feltrinelli Prize. Geometry and analysis in the nineteen-eighties. Mathematics and the computer revolution: (a) Nuova civilta delle macchine, II (b) The influence of computers and informatics on mathematics and its teaching. Indentifying progress in mathematics. of mathematics.
Table of contents:
EARLY PAPERS: A note on the tangents of a twisted cubic. Complex fibre bundles and ruled surfaces. Formes de seconde espèce sur une variété algebrique. Integrals of the secon kind on an algebraic variety. On the Krull-Schmidt theorem with application to sheaves. Complex analytical connections in fibre bundles. Vector bundles over an elliptic curve. On analytical surfaces with double points. Some examples of complex manifolds. GENERAL PAPERS: The role of algebraic topology in mathematics. Wandel und Fortschritt in der Mathematik. How research is carried out. Global geometry. William Vallance Douglas Hodge 1903-1975. Singularities of functions. Trends in pure mathematics. The unity of mathematics. What is geometry? An interview with Michael Atiyah. Speech on conferment of the Feltrinelli Prize. Geometry and analysis in the nineteen-eighties. Mathematics and the computer revolution: (a) Nuova civilta delle macchine, II (b) The influence of computers and informatics on mathematics and its teaching. Indentifying progress in mathematics. of mathematics.