This book deals with the twistor treatment of certain linear and nonlinear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of spacetime and field theories. The book is designed to be used by mathematicians and physicists and so the authors have made it reasonably selfcontained. The first part contains a development of the necessary mathematical background. In the second part, YangMills fields and gravitational fields (the basic fields of contemporary physics) are described at the classical level. In the final part, the mathematics and physics are married to solve a number of fieldtheoretical problems.

Authors: Ward R.S., Wells R.O.  Pages: 528 Year: 1990 
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