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Cover: 9781107078208 | Electricity and Magnetism for Mathematicians | Thomas A. Garrity
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Electricity and Magnetism for Mathematicians
Buch von Thomas A. Garrity
Sprache: Englisch

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Beschreibung
Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.
Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.
Über den Autor
Thomas A. Garrity is the William R. Kenan, Jr Professor of Mathematics at Williams College, where he was the director of the Williams College Project for Effective Teaching for many years. He has written a number of research papers and has authored or coauthored two other books, All the Mathematics You Missed (But Need to Know for Graduate School) and Algebraic Geometry: A Problem Solving Approach. Among his awards and honors is the MAA Deborah and Franklin Tepper Haimo Award for outstanding college or university teaching.
Inhaltsverzeichnis
1. A brief history; 2. Maxwell's equations; 3. Electromagnetic waves; 4. Special relativity; 5. Mechanics and Maxwell's equations; 6. Mechanics, Lagrangians, and the calculus of variations; 7. Potentials; 8. Lagrangians and electromagnetic forces; 9. Differential forms; 10. The Hodge * operator; 11. The electromagnetic two-form; 12. Some mathematics needed for quantum mechanics; 13. Some quantum mechanical thinking; 14. Quantum mechanics of harmonic oscillators; 15. Quantizing Maxwell's equations; 16. Manifolds; 17. Vector bundles; 18. Connections; 19. Curvature; 20. Maxwell via connections and curvature; 21. The Lagrangian machine, Yang-Mills, and other forces.
Details
Erscheinungsjahr: 2016
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781107078208
ISBN-10: 1107078202
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Garrity, Thomas A.
Hersteller: Cambridge University Press
Maße: 235 x 157 x 21 mm
Von/Mit: Thomas A. Garrity
Erscheinungsdatum: 26.01.2016
Gewicht: 0,59 kg
Artikel-ID: 105072655
Über den Autor
Thomas A. Garrity is the William R. Kenan, Jr Professor of Mathematics at Williams College, where he was the director of the Williams College Project for Effective Teaching for many years. He has written a number of research papers and has authored or coauthored two other books, All the Mathematics You Missed (But Need to Know for Graduate School) and Algebraic Geometry: A Problem Solving Approach. Among his awards and honors is the MAA Deborah and Franklin Tepper Haimo Award for outstanding college or university teaching.
Inhaltsverzeichnis
1. A brief history; 2. Maxwell's equations; 3. Electromagnetic waves; 4. Special relativity; 5. Mechanics and Maxwell's equations; 6. Mechanics, Lagrangians, and the calculus of variations; 7. Potentials; 8. Lagrangians and electromagnetic forces; 9. Differential forms; 10. The Hodge * operator; 11. The electromagnetic two-form; 12. Some mathematics needed for quantum mechanics; 13. Some quantum mechanical thinking; 14. Quantum mechanics of harmonic oscillators; 15. Quantizing Maxwell's equations; 16. Manifolds; 17. Vector bundles; 18. Connections; 19. Curvature; 20. Maxwell via connections and curvature; 21. The Lagrangian machine, Yang-Mills, and other forces.
Details
Erscheinungsjahr: 2016
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781107078208
ISBN-10: 1107078202
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Garrity, Thomas A.
Hersteller: Cambridge University Press
Maße: 235 x 157 x 21 mm
Von/Mit: Thomas A. Garrity
Erscheinungsdatum: 26.01.2016
Gewicht: 0,59 kg
Artikel-ID: 105072655
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