Description
Book SynopsisSystems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear pictur
Trade Review"[This book] should be read by any mathematician who wants to see something of the exciting connections between geometry and the nonlinear systems of mathematical physics."--Bulletin of the American Mathematical Society
Table of Contents*FrontMatter, pg. i*CONTENTS, pg. v*PREFACE, pg. vii*INTRODUCTION, pg. 1*CHAPTER 1. The Monopole Equations, pg. 9*CHAPTER 2. Geometry of the Monopole Spaces, pg. 14*CHAPTER 3. Metric of Monopole Spaces, pg. 21*CHAPTER 4. Hyperkahler Property of the Metric, pg. 28*CHAPTER 5. The Twistor Description, pg. 38*CHAPTER 6. Particles and Symmetric Products, pg. 51*CHAPTER 7. The 2-monopole Space, pg. 58*CHAPTER 8. Spectral Radii and the Conformal Structure, pg. 64*CHAPTER 9. The Anti-self-dual Einstein Equations, pg. 70*CHAPTER 10. Some Inequalities, pg. 79*CHAPTER 11. The Metric on M02, pg. 90*CHAPTER 12. Detailed Properties of the Metric, pg. 96*CHAPTER 13. Geodesics on M02, pg. 102*CHAPTER 14. Particle Scattering, pg. 109*CHAPTER 15. Comparisons with KdV Solitons, pg. 116*CHAPTER 16. Background Material, pg. 119*BIBLIOGRAPHY, pg. 129*INDEX, pg. 132
