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Book Categories |
| Preface | ||
| 1 | Rudiments of Group Theory | 1 |
| 1 | Review | 1 |
| 2 | Automorphisms | 14 |
| 3 | Group Actions | 27 |
| 2 | The General Linear Group | 39 |
| 4 | Basic Structure | 39 |
| 5 | Parabolic Subgroups | 49 |
| 6 | The Special Linear Group | 56 |
| 3 | Local Structure | 63 |
| 7 | Sylow's Theorem | 63 |
| 8 | Finite p-groups | 72 |
| 9 | The Schur-Zassenhaus Theorem | 81 |
| 4 | Normal Structure | 89 |
| 10 | Composition Series | 89 |
| 11 | Solvable Groups | 95 |
| 5 | Semisimple Algebras | 107 |
| 12 | Modules and Representations | 107 |
| 13 | Wedderburn Theory | 120 |
| 6 | Group Representations | 137 |
| 14 | Characters | 137 |
| 15 | The Character Table | 146 |
| 16 | Induction | 164 |
| Appendix: Algebraic Integers and Characters | 179 | |
| Bibliography | 185 | |
| List of Notation | 187 | |
| Index | 191 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Shaniqua Jones
reviewed Groups And Representations, Vol. 0 on April 04, 2012 Groups And Representations
I normally don't do this, but I'm going to copy/paste this review across three separate books: Chaitin's "The Unknowable", "The Limits of Mathematics", and "Exploring Randomness".
All three are all thin, overpriced, but very approachable books on Algorithmic Information Theory. Themes include:
- Undecidability, as the basis of formulating a new kind of randomness measure for numbers that have already been generated (not just restricting randomness measures to the processes that generate numbers).
- Chaitin's Omega constant, which is the probability that universal Turning machine will halt on random input. This constant is "maximally unknowable", but that doesn't stop one from performing math with it.
- Philosophy surrounding these topics.
One might underestimate Kolmogorov's contributions, given how ridiculously self-promoting Chaitin has been with this AIT. However, the topics are interesting enough that he's easy to forgive. And he uses many code demonstrations (LISP) to make concrete examples out of the math.
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Add Groups And Representations, Vol. 0, A concise treatment of topics from group theory and representation theory for use in a one-term course. Focussing on the non-commutative side of the field, this advanced textbook emphasizes the general linear group as the most important group and example., Groups And Representations, Vol. 0 to the inventory that you are selling on WonderClubX
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Add Groups And Representations, Vol. 0, A concise treatment of topics from group theory and representation theory for use in a one-term course. Focussing on the non-commutative side of the field, this advanced textbook emphasizes the general linear group as the most important group and example., Groups And Representations, Vol. 0 to your collection on WonderClub |