Lectures on groups and vector spaces for physicists:
These notes are the contents of a lecture course given to third year physics undergraduates at the Imperial College who are taking the theoretical physics option. The subject of "Algebra and Groups" is of considerable importance in a number of branches of modern theoretical physics, and th...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1989
|
| Schriftenreihe: | World Scientific lecture notes in physics
vol. 31 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | These notes are the contents of a lecture course given to third year physics undergraduates at the Imperial College who are taking the theoretical physics option. The subject of "Algebra and Groups" is of considerable importance in a number of branches of modern theoretical physics, and therefore one major objective of the course is to introduce the students to the basic ideas on the subject, bearing in mind the potential applications to quantum theory. However, another equally important aim of the course is to introduce the student to the art of genuine "mathematical" thinking. The notes are therefore written in a more precise mathematical style than is usually the case in courses aimed at physics students. Quite apart from the general educational value of such an exposure to abstract thinking, it is also the case that much modern theoretical physics draws on sophisticated ideas from pure mathematics and therefore it is most important that a perspective graduate student can approach these subjects without experiencing a total culture shock! The course is divided into three parts. The first is a short introduction to general group theory, with particular emphasis being placed on the matrix Lie groups that play such a crucial role in modern theoretical physics. The second part deals with the theory of vector spaces, with particular attention being paid to the theory of Hilbert spaces and the basic analytical techniques that are needed to handle the infinite dimensional situation. The final part of the course is a short introduction to the theory of group representations and the associated theory of characters |
| Beschreibung: | Includes index |
| Beschreibung: | vii, 219 p. ill |
| ISBN: | 9789812799180 |
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| 520 | |a These notes are the contents of a lecture course given to third year physics undergraduates at the Imperial College who are taking the theoretical physics option. The subject of "Algebra and Groups" is of considerable importance in a number of branches of modern theoretical physics, and therefore one major objective of the course is to introduce the students to the basic ideas on the subject, bearing in mind the potential applications to quantum theory. However, another equally important aim of the course is to introduce the student to the art of genuine "mathematical" thinking. The notes are therefore written in a more precise mathematical style than is usually the case in courses aimed at physics students. Quite apart from the general educational value of such an exposure to abstract thinking, it is also the case that much modern theoretical physics draws on sophisticated ideas from pure mathematics and therefore it is most important that a perspective graduate student can approach these subjects without experiencing a total culture shock! The course is divided into three parts. The first is a short introduction to general group theory, with particular emphasis being placed on the matrix Lie groups that play such a crucial role in modern theoretical physics. The second part deals with the theory of vector spaces, with particular attention being paid to the theory of Hilbert spaces and the basic analytical techniques that are needed to handle the infinite dimensional situation. The final part of the course is a short introduction to the theory of group representations and the associated theory of characters | ||
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Datensatz im Suchindex
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| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812799180 |
| language | English |
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| physical | vii, 219 p. ill |
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| series2 | World Scientific lecture notes in physics |
| spelling | Isham, C. J. Verfasser aut Lectures on groups and vector spaces for physicists Chris J. Isham Singapore World Scientific Pub. Co. c1989 vii, 219 p. ill txt rdacontent c rdamedia cr rdacarrier World Scientific lecture notes in physics vol. 31 Includes index These notes are the contents of a lecture course given to third year physics undergraduates at the Imperial College who are taking the theoretical physics option. The subject of "Algebra and Groups" is of considerable importance in a number of branches of modern theoretical physics, and therefore one major objective of the course is to introduce the students to the basic ideas on the subject, bearing in mind the potential applications to quantum theory. However, another equally important aim of the course is to introduce the student to the art of genuine "mathematical" thinking. The notes are therefore written in a more precise mathematical style than is usually the case in courses aimed at physics students. Quite apart from the general educational value of such an exposure to abstract thinking, it is also the case that much modern theoretical physics draws on sophisticated ideas from pure mathematics and therefore it is most important that a perspective graduate student can approach these subjects without experiencing a total culture shock! The course is divided into three parts. The first is a short introduction to general group theory, with particular emphasis being placed on the matrix Lie groups that play such a crucial role in modern theoretical physics. The second part deals with the theory of vector spaces, with particular attention being paid to the theory of Hilbert spaces and the basic analytical techniques that are needed to handle the infinite dimensional situation. The final part of the course is a short introduction to the theory of group representations and the associated theory of characters Group theory Physik (DE-588)4045956-1 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Vektorraum (DE-588)4130622-3 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s Physik (DE-588)4045956-1 s DE-604 Vektorraum (DE-588)4130622-3 s Erscheint auch als Druck-Ausgabe 9789971509545 Erscheint auch als Druck-Ausgabe 9971509547 Erscheint auch als Druck-Ausgabe 9971509555 http://www.worldscientific.com/worldscibooks/10.1142/0893#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Isham, C. J. Lectures on groups and vector spaces for physicists Group theory Physik (DE-588)4045956-1 gnd Gruppentheorie (DE-588)4072157-7 gnd Vektorraum (DE-588)4130622-3 gnd |
| subject_GND | (DE-588)4045956-1 (DE-588)4072157-7 (DE-588)4130622-3 |
| title | Lectures on groups and vector spaces for physicists |
| title_auth | Lectures on groups and vector spaces for physicists |
| title_exact_search | Lectures on groups and vector spaces for physicists |
| title_full | Lectures on groups and vector spaces for physicists Chris J. Isham |
| title_fullStr | Lectures on groups and vector spaces for physicists Chris J. Isham |
| title_full_unstemmed | Lectures on groups and vector spaces for physicists Chris J. Isham |
| title_short | Lectures on groups and vector spaces for physicists |
| title_sort | lectures on groups and vector spaces for physicists |
| topic | Group theory Physik (DE-588)4045956-1 gnd Gruppentheorie (DE-588)4072157-7 gnd Vektorraum (DE-588)4130622-3 gnd |
| topic_facet | Group theory Physik Gruppentheorie Vektorraum |
| url | http://www.worldscientific.com/worldscibooks/10.1142/0893#t=toc |
| work_keys_str_mv | AT ishamcj lecturesongroupsandvectorspacesforphysicists |