Books: Difference between revisions
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* Tu, Loring, Differential Geometry : Connections, Curvature, and Characteristic Classes. 1st ed. 2017 | * Tu, Loring, Differential Geometry : Connections, Curvature, and Characteristic Classes. 1st ed. 2017 | ||
* [[:File:Taubes_-_Differential_geometry_-_Bundles%2C_connections%2C_metrics_and_curvature.pdf|Taubes, Clifford, Differential geometry : bundles, connections, metrics and curvature. 2011]] | * [[:File:Taubes_-_Differential_geometry_-_Bundles%2C_connections%2C_metrics_and_curvature.pdf|Taubes, Clifford, Differential geometry : bundles, connections, metrics and curvature. 2011]] | ||
* Rudolph, Gerd, Schmidt, Matthias., Differential geometry and mathematical physics. Part I, Manifolds, Lie groups and Hamiltonian systems. 2013 | * [[:File:Schmidt_and_Rudolph_-_Differential_Geometry_and_Mathematical_Physics_I.pdf|Rudolph, Gerd, Schmidt, Matthias., Differential geometry and mathematical physics. Part I, Manifolds, Lie groups and Hamiltonian systems. 2013]] | ||
* Rudolph, Gerd, Schmidt, Matthias.Differential Geometry and Mathematical Physics : Part II. Fibre Bundles, Topology and Gauge Fields. 1st ed. 2017 | * [[:File:Schmidt_and_Rudolph_-_Differential_Geometry_and_Mathematical_Physics_II.pdf|Rudolph, Gerd, Schmidt, Matthias.Differential Geometry and Mathematical Physics : Part II. Fibre Bundles, Topology and Gauge Fields. 1st ed. 2017]] | ||
* Frankel, Theodore, The geometry of physics : an introduction, 3rd edition. 2012 | * [[:File:Frenkel_-_the-geometry-of-physics.pdf|Frankel, Theodore, The geometry of physics : an introduction, 3rd edition. 2012]] | ||
* Nakahara, Mikio, Geometry, topology, and physics, Second edition. 2003 | * [[:File:Nakahara_-_Geometry,_Topology,_and_Physics.pdf|Nakahara, Mikio, Geometry, topology, and physics, Second edition. 2003]] | ||
* Nash, Charles, Sen, Siddhartha, Topology and geometry for physicists. 1987 | * Nash, Charles, Sen, Siddhartha, Topology and geometry for physicists. 1987 | ||
* Hamilton, Mark J.D. Mathematical Gauge Theory : With Applications to the Standard Model of Particle Physics, 1st ed. 2017 | * [[:File:Hamilton_-_Mathematical_Gauge_Theory.pdf|Hamilton, Mark J.D. Mathematical Gauge Theory : With Applications to the Standard Model of Particle Physics, 1st ed. 2017]] | ||
* Naber, Gregory L., Topology, geometry and Gauge fields: foundations, Second edition. 2011 | * [[:File:Naber_-_Topology_Geometry_and_Gauge_Fields_-_Foundations.pdf|Naber, Gregory L., Topology, geometry and Gauge fields: foundations, Second edition. 2011]] | ||
* Naber, Gregory L., Topology, geometry and gauge fields: interactions, Second edition. 2011 | * [[:File:Naber_-_Topology_Geometry_and_Gauge_Fields_-_Interactions.pdf|Naber, Gregory L., Topology, geometry and gauge fields: interactions, Second edition. 2011]] | ||
* Sontz, S. B., Principal bundles : the classical case. 2015 | * [[:File:Sontz_-_Principal_Bundles_-_The_Classical_Case.pdf|Sontz, S. B., Principal bundles : the classical case. 2015]] | ||
* Husemöller, Dale, Fibre Bundles, 3rd ed. 1994 | * Husemöller, Dale, Fibre Bundles, 3rd ed. 1994 | ||
Latest revision as of 09:19, 19 January 2026
Books
[edit]Here is the list of books from the reading list at the start of the course. Links to PDFs and suchlike will be added in due course. Hopefully as the semester progresses, the field will narrow down.
- Tu, Loring, Differential Geometry : Connections, Curvature, and Characteristic Classes. 1st ed. 2017
- Taubes, Clifford, Differential geometry : bundles, connections, metrics and curvature. 2011
- Rudolph, Gerd, Schmidt, Matthias., Differential geometry and mathematical physics. Part I, Manifolds, Lie groups and Hamiltonian systems. 2013
- Rudolph, Gerd, Schmidt, Matthias.Differential Geometry and Mathematical Physics : Part II. Fibre Bundles, Topology and Gauge Fields. 1st ed. 2017
- Frankel, Theodore, The geometry of physics : an introduction, 3rd edition. 2012
- Nakahara, Mikio, Geometry, topology, and physics, Second edition. 2003
- Nash, Charles, Sen, Siddhartha, Topology and geometry for physicists. 1987
- Hamilton, Mark J.D. Mathematical Gauge Theory : With Applications to the Standard Model of Particle Physics, 1st ed. 2017
- Naber, Gregory L., Topology, geometry and Gauge fields: foundations, Second edition. 2011
- Naber, Gregory L., Topology, geometry and gauge fields: interactions, Second edition. 2011
- Sontz, S. B., Principal bundles : the classical case. 2015
- Husemöller, Dale, Fibre Bundles, 3rd ed. 1994