Matrix groups for undergraduates /
"Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups." "M...
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| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
[2005], ©2005
Providence, R.I. : c2005 Providence, R.I. : [2005] |
| Series: | Student mathematical library,
v. 29 Student mathematical library ; v. 29 Student mathematical library v. 29 Student mathematical library v. 29 Student mathematical library v. 29 |
| Subjects: |
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| 100 | 1 | |a Tapp, Kristopher, |d 1971- |0 http://viaf.org/viaf/17502764 | |
| 100 | 1 | |a Tapp, Kristopher, |d 1971- |1 http://viaf.org/viaf/17502764 | |
| 100 | 1 | |a Tapp, Kristopher, |d 1971- | |
| 245 | 1 | 0 | |a Matrix groups for undergraduates / |c Kristopher Tapp |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c [2005], ©2005 | ||
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c c2005 | ||
| 264 | 1 | |a Providence, R.I. : |b American Mathematical Society, |c [2005] | |
| 264 | 4 | |c ©2005 | |
| 300 | |a 166 p. : |b ill. ; |c 22 cm | ||
| 300 | |a 166 pages : |b illustrations ; |c 22 cm | ||
| 300 | |a v, 166 p. : |b ill. ; |c 22 cm | ||
| 300 | |a v, 166 p. ; |c 22 cm | ||
| 300 | |a v, 166 pages : |b illustrations ; |c 22 cm | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 440 | 0 | |a Student mathematical library, |x 1520-9121 ; |v v. 29 | |
| 490 | 1 | |a Student mathematical library, |x 1520-9121 ; |v v. 29 | |
| 500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
| 504 | |a Includes bibliographical references (p. 163) and index | ||
| 504 | |a Includes bibliographical references (page 163) and index | ||
| 504 | |a Includes bibliographical references and index | ||
| 505 | 0 | |a Matrices -- All matrix groups are real matrix groups -- The orthogonal groups -- The topology of matrix groups -- Lie algebras -- Matrix exponentiation -- Matrix groups are manifolds -- The lie bracket -- Maximal tori | |
| 505 | 0 | 0 | |a note: |t Why study matrix groups? -- |g Ch. 1 |t Matrices -- |g Ch. 2 |t All matrix groups are real matrix groups -- |g Ch. 3 |t orthogonal groups -- |g Ch. 4 |t topology of matrix groups -- |g Ch. 5 |t Lie algebras -- |g Ch. 6 |t Matrix exponentiation -- |g Ch. 7 |t Matrix groups are manifolds -- |g Ch. 8 |t Lie bracket |
| 505 | 0 | 0 | |t Why study matrix groups? -- |g Ch. 1 |t Matrices -- |g Ch. 2. |t All matrix groups are real matrix groups -- |g Ch. 3. |t The orthogonal groups -- |g Ch. 4. |t The topology of matrix groups -- |g Ch. 5. |t Lie algebras -- |g Ch. 6. |t Matrix exponentiation -- |g Ch. 7. |t Matrix groups are manifolds -- |g Ch. 8. |t The Lie bracket -- |g Ch. 9. |t Maximal tori. |
| 505 | 0 | 0 | |t Why study matrix groups? -- |g Ch. 1 |t Matrices -- |g Ch. 2. |t All matrix groups are real matrix groups -- |g Ch. 3. |t The orthogonal groups -- |g Ch. 4. |t The topology of matrix groups -- |g Ch. 5. |t Lie algebras -- |g Ch. 6. |t Matrix exponentiation -- |g Ch. 7. |t Matrix groups are manifolds -- |g Ch. 8. |t The Lie bracket -- |g Ch. 9. |t Maximal tori. |
| 505 | 0 | 0 | |t Why study matrix groups? |t Chapter 1. Matrices |t Chapter 2. All matrix groups are real matrix groups |t Chapter 3. The orthogonal groups |t Chapter 4. The topology of matrix groups |t Chapter 5. Lie algebras |t Chapter 6. Matrix exponentiation |t Chapter 7. Matrix groups are manifolds |t Chapter 8. The Lie bracket |t Chapter 9. Maximal tori |
| 520 | 1 | |a "Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups." "Matrix Groups for Undergraduates is concrete and example driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines tigor and intuition to describe basic objects of Lie theory, Lie algebras, matrix exponentiation, Lie brackets, and maximal tori."--BOOK JACKET | |
| 520 | 1 | |a "Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups." "Matrix Groups for Undergraduates is concrete and example driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines tigor and intuition to describe basic objects of Lie theory, Lie algebras, matrix exponentiation, Lie brackets, and maximal tori."--Jacket | |
| 590 | |a *ceb 20051018 | ||
| 650 | 0 | |a Compact groups | |
| 650 | 0 | |a Lie groups | |
| 650 | 0 | |a Linear algebraic groups | |
| 650 | 0 | |a Matrix groups | |
| 650 | 6 | |a Groupes compacts | |
| 650 | 6 | |a Groupes linéaires algébriques | |
| 650 | 6 | |a Lie, Groupes de | |
| 650 | 6 | |a Matrices, Groupes de | |
| 650 | 7 | |a Compact groups |2 fast | |
| 650 | 7 | |a Lie groups |2 fast | |
| 650 | 7 | |a Linear algebraic groups |2 fast | |
| 650 | 7 | |a Matrix groups |2 fast | |
| 655 | 4 | |a Lehrbuch | |
| 655 | 7 | |a Lehrbuch |2 swd | |
| 830 | 0 | |a Student mathematical library ; |v v. 29 | |
| 830 | 0 | |a Student mathematical library |v v. 29 |x 1520-9121 | |
| 830 | 0 | |a Student mathematical library |v v. 29 | |
| 830 | 0 | |a Student mathematical library |x 1520-9121 ; |v v. 29 | |
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