TAILIEUCHUNG - Geometric Algebra and its Application to Mathematical Physics

Many people have given help and support over the last three years and I am grateful to them all I owe a great debt to my supervisor Nick Manton for allowing me the freedom to pursue my own interests and to my two principle collaborators Anthony Lasenby and Stephen Gull whose ideas and inspiration were essential in shaping my research I also thank David Hestenes for his encouragement and his company on an arduous journey to Poland | Geometric Algebra and its Application to Mathematical Physics Chris J. L. Doran Sidney Sussex College A dissertation submitted for the degree of Doctor of Philosophy in the University of Cambridge. February 1994 Preface This dissertation is the result of work carried out in the Department of Applied Mathematics and Theoretical Physics between October 1990 and October 1993. Sections of the dissertation have appeared in a series of collaborative papers 1 10 . Except where explicit reference is made to the work of others the work contained in this dissertation is my own. Acknowledgements Many people have given help and support over the last three years and I am grateful to them all. I owe a great debt to my supervisor Nick Manton for allowing me the freedom to pursue my own interests and to my two principle collaborators Anthony Lasenby and Stephen Gull whose ideas and inspiration were essential in shaping my research. I also thank David Hestenes for his encouragement and his company on an arduous journey to Poland. Above all I thank Julie Cooke for the love and encouragement that sustained me through to the completion of this work. Finally I thank Stuart Rankin and Margaret James for many happy hours in the Mill Mike and Rachael Tim and Imogen Paul Alan and my other colleagues in DAMTP and MRAO. I gratefully acknowledge financial support from the SERC DAMTP and Sidney Sussex College. To my .

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