The Geometry and Dynamics of Magnetic Monopoles / / Nigel Hitchin, Michael Francis Atiyah.
Systems 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 geom...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©1988 |
Year of Publication: | 2014 |
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Language: | English |
Series: | Porter Lectures ;
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Atiyah, Michael Francis, author. aut http://id.loc.gov/vocabulary/relators/aut The Geometry and Dynamics of Magnetic Monopoles / Nigel Hitchin, Michael Francis Atiyah. Course Book Princeton, NJ : Princeton University Press, [2014] ©1988 1 online resource (144 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Porter Lectures ; 11 Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- CHAPTER 1. The Monopole Equations -- CHAPTER 2. Geometry of the Monopole Spaces -- CHAPTER 3. Metric of Monopole Spaces -- CHAPTER 4. Hyperkahler Property of the Metric -- CHAPTER 5. The Twistor Description -- CHAPTER 6. Particles and Symmetric Products -- CHAPTER 7. The 2-monopole Space -- CHAPTER 8. Spectral Radii and the Conformal Structure -- CHAPTER 9. The Anti-self-dual Einstein Equations -- CHAPTER 10. Some Inequalities -- CHAPTER 11. The Metric on M02 -- CHAPTER 12. Detailed Properties of the Metric -- CHAPTER 13. Geodesics on M02 -- CHAPTER 14. Particle Scattering -- CHAPTER 15. Comparisons with KdV Solitons -- CHAPTER 16. Background Material -- BIBLIOGRAPHY -- INDEX -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Systems 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 picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years. The soliton idea bridges the gap between the concepts of "fields" and "particles," and is here explored in a fully three-dimensional context. While the background and motivation for the work comes from physics, the presentation is mathematical.This book is interdisciplinary and addresses concerns of theoretical physicists interested in elementary particles or general relativity and mathematicians working in analysis or geometry. The interaction between geometry and physics through non-linear partial differential equations is now at a very exciting stage, and the book is a contribution to this activity.Originally published in 1988.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) MATHEMATICS / Differential Equations / General. bisacsh Hitchin, Nigel, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 9783110413441 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691604114 https://doi.org/10.1515/9781400859306 https://www.degruyter.com/isbn/9781400859306 Cover https://www.degruyter.com/cover/covers/9781400859306.jpg |
language |
English |
format |
eBook |
author |
Atiyah, Michael Francis, Atiyah, Michael Francis, Hitchin, Nigel, |
spellingShingle |
Atiyah, Michael Francis, Atiyah, Michael Francis, Hitchin, Nigel, The Geometry and Dynamics of Magnetic Monopoles / Porter Lectures ; Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- CHAPTER 1. The Monopole Equations -- CHAPTER 2. Geometry of the Monopole Spaces -- CHAPTER 3. Metric of Monopole Spaces -- CHAPTER 4. Hyperkahler Property of the Metric -- CHAPTER 5. The Twistor Description -- CHAPTER 6. Particles and Symmetric Products -- CHAPTER 7. The 2-monopole Space -- CHAPTER 8. Spectral Radii and the Conformal Structure -- CHAPTER 9. The Anti-self-dual Einstein Equations -- CHAPTER 10. Some Inequalities -- CHAPTER 11. The Metric on M02 -- CHAPTER 12. Detailed Properties of the Metric -- CHAPTER 13. Geodesics on M02 -- CHAPTER 14. Particle Scattering -- CHAPTER 15. Comparisons with KdV Solitons -- CHAPTER 16. Background Material -- BIBLIOGRAPHY -- INDEX -- Backmatter |
author_facet |
Atiyah, Michael Francis, Atiyah, Michael Francis, Hitchin, Nigel, Hitchin, Nigel, Hitchin, Nigel, |
author_variant |
m f a mf mfa m f a mf mfa n h nh |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Hitchin, Nigel, Hitchin, Nigel, |
author2_variant |
n h nh |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Atiyah, Michael Francis, |
title |
The Geometry and Dynamics of Magnetic Monopoles / |
title_full |
The Geometry and Dynamics of Magnetic Monopoles / Nigel Hitchin, Michael Francis Atiyah. |
title_fullStr |
The Geometry and Dynamics of Magnetic Monopoles / Nigel Hitchin, Michael Francis Atiyah. |
title_full_unstemmed |
The Geometry and Dynamics of Magnetic Monopoles / Nigel Hitchin, Michael Francis Atiyah. |
title_auth |
The Geometry and Dynamics of Magnetic Monopoles / |
title_alt |
Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- CHAPTER 1. The Monopole Equations -- CHAPTER 2. Geometry of the Monopole Spaces -- CHAPTER 3. Metric of Monopole Spaces -- CHAPTER 4. Hyperkahler Property of the Metric -- CHAPTER 5. The Twistor Description -- CHAPTER 6. Particles and Symmetric Products -- CHAPTER 7. The 2-monopole Space -- CHAPTER 8. Spectral Radii and the Conformal Structure -- CHAPTER 9. The Anti-self-dual Einstein Equations -- CHAPTER 10. Some Inequalities -- CHAPTER 11. The Metric on M02 -- CHAPTER 12. Detailed Properties of the Metric -- CHAPTER 13. Geodesics on M02 -- CHAPTER 14. Particle Scattering -- CHAPTER 15. Comparisons with KdV Solitons -- CHAPTER 16. Background Material -- BIBLIOGRAPHY -- INDEX -- Backmatter |
title_new |
The Geometry and Dynamics of Magnetic Monopoles / |
title_sort |
the geometry and dynamics of magnetic monopoles / |
series |
Porter Lectures ; |
series2 |
Porter Lectures ; |
publisher |
Princeton University Press, |
publishDate |
2014 |
physical |
1 online resource (144 p.) Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- CHAPTER 1. The Monopole Equations -- CHAPTER 2. Geometry of the Monopole Spaces -- CHAPTER 3. Metric of Monopole Spaces -- CHAPTER 4. Hyperkahler Property of the Metric -- CHAPTER 5. The Twistor Description -- CHAPTER 6. Particles and Symmetric Products -- CHAPTER 7. The 2-monopole Space -- CHAPTER 8. Spectral Radii and the Conformal Structure -- CHAPTER 9. The Anti-self-dual Einstein Equations -- CHAPTER 10. Some Inequalities -- CHAPTER 11. The Metric on M02 -- CHAPTER 12. Detailed Properties of the Metric -- CHAPTER 13. Geodesics on M02 -- CHAPTER 14. Particle Scattering -- CHAPTER 15. Comparisons with KdV Solitons -- CHAPTER 16. Background Material -- BIBLIOGRAPHY -- INDEX -- Backmatter |
isbn |
9781400859306 9783110413441 9783110413595 9783110442496 9780691604114 |
url |
https://doi.org/10.1515/9781400859306 https://www.degruyter.com/isbn/9781400859306 https://www.degruyter.com/cover/covers/9781400859306.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
530 - Physics |
dewey-full |
530.15 |
dewey-sort |
3530.15 |
dewey-raw |
530.15 |
dewey-search |
530.15 |
doi_str_mv |
10.1515/9781400859306 |
oclc_num |
979755658 |
work_keys_str_mv |
AT atiyahmichaelfrancis thegeometryanddynamicsofmagneticmonopoles AT hitchinnigel thegeometryanddynamicsofmagneticmonopoles AT atiyahmichaelfrancis geometryanddynamicsofmagneticmonopoles AT hitchinnigel geometryanddynamicsofmagneticmonopoles |
status_str |
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ids_txt_mv |
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carrierType_str_mv |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
The Geometry and Dynamics of Magnetic Monopoles / |
container_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 |
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