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04632cam a22005417i 4500 |
| 001 - CONTROL NUMBER |
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u12527 |
| 003 - CONTROL NUMBER IDENTIFIER |
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SA-PMU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20210418124033.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
151204t20162016enk b 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
|---|
| LC control number |
2015959276 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
YDXCP |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
DLC |
| Modifying agency |
YDXCP |
| -- |
BDX |
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BTCTA |
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CDX |
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OCLCF |
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GZQ |
| -- |
CHVBK |
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OCLCO |
| -- |
U3G |
| -- |
OCLCQ |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780198782926 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0198782926 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)933337412 |
| 042 ## - AUTHENTICATION CODE |
|---|
| Authentication code |
lccopycat |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QC20.7.C55 |
| Item number |
V39 2016 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512/.57 |
| Edition number |
23 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) |
|---|
| OCLC library identifier |
AU@ |
| System control number |
000057558228 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) |
|---|
| OCLC library identifier |
CHDSB |
| System control number |
006614866 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) |
|---|
| OCLC library identifier |
CHVBK |
| System control number |
365678821 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Vaz Jr., Jayme, |
| Relator term |
author. |
| 245 13 - TITLE STATEMENT |
|---|
| Title |
An introduction to Clifford algebras and spinors / |
| Statement of responsibility, etc. |
Jayme Vaz, Jr., Roldão da Rocha, Jr. |
| 246 30 - VARYING FORM OF TITLE |
|---|
| Title proper/short title |
Clifford algebras and spinors |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
First edition. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Oxford, United Kingdom : |
| Name of producer, publisher, distributor, manufacturer |
Oxford University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2016. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2016 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xiv, 242 pages ; |
| Dimensions |
26 cm |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
unmediated |
| Media type code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
volume |
| Carrier type code |
nc |
| Source |
rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references (pages 231-237) and index. |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
Machine generated contents note: |
| -- |
1. |
| Title |
Preliminaries -- |
| Miscellaneous information |
1.1. |
| Title |
Vectors and Covectors -- |
| Miscellaneous information |
1.2. |
| Title |
The Tensor Product -- |
| Miscellaneous information |
1.3. |
| Title |
Tensor Algebra -- |
| Miscellaneous information |
1.4. |
| Title |
Exercises -- |
| Miscellaneous information |
2. |
| Title |
Exterior Algebra and Grassmann Algebra -- |
| Miscellaneous information |
2.1. |
| Title |
Permutations and the Alternator -- |
| Miscellaneous information |
2.2. |
| Title |
p-Vectors and p-Covectors -- |
| Miscellaneous information |
2.3. |
| Title |
The Exterior Product -- |
| Miscellaneous information |
2.4. |
| Title |
The Exterior Algebra (V) -- |
| Miscellaneous information |
2.5. |
| Title |
The Exterior Algebra as the Quotient of the Tensor Algebra -- |
| Miscellaneous information |
2.6. |
| Title |
The Contraction, or Interior Product -- |
| Miscellaneous information |
2.7. |
| Title |
Orientation, and Quasi-Hodge Isomorphisms -- |
| Miscellaneous information |
2.8. |
| Title |
The Regressive Product -- |
| Miscellaneous information |
2.9. |
| Title |
The Grassmann Algebra -- |
| Miscellaneous information |
2.10. |
| Title |
The Hodge Isomorphism -- |
| Miscellaneous information |
2.11. |
| Title |
Additional Readings -- |
| Miscellaneous information |
2.12. |
| Title |
Exercises -- |
| Miscellaneous information |
3. |
| Title |
Clifford, or Geometric, Algebra -- |
| Miscellaneous information |
3.1. |
| Title |
Definition of a Clifford Algebra -- |
| Miscellaneous information |
3.2. |
| Title |
Universal Clifford Algebra as a Quotient of the Tensor Algebra -- |
| Miscellaneous information |
3.3. |
| Title |
Some General Considerations -- |
| Miscellaneous information |
3.4. |
| Title |
Prom the Grassmann Algebra to the Clifford Algebra -- |
| Miscellaneous information |
3.5. |
| Title |
Grassmann Algebra versus Clifford Algebra -- |
| Miscellaneous information |
3.6. |
| Title |
Notation -- |
| Miscellaneous information |
3.7. |
| Title |
Additional Readings -- |
| Miscellaneous information |
3.8. |
| Title |
Exercises -- |
| Miscellaneous information |
4. |
| Title |
Classification and Representation of the Clifford Algebras -- |
| Miscellaneous information |
4.1. |
| Title |
Theorems on the Structure of Clifford Algebras -- |
| Miscellaneous information |
4.2. |
| Title |
The Classification of Clifford Algebras -- |
| Miscellaneous information |
4.3. |
| Title |
Idempotents and Representations -- |
| Miscellaneous information |
4.4. |
| Title |
Clifford Algebra Representations -- |
| Miscellaneous information |
4.5. |
| Title |
Additional Readings -- |
| Miscellaneous information |
4.6. |
| Title |
Exercises -- |
| Miscellaneous information |
5. |
| Title |
Clifford Algebras, and Associated Groups -- |
| Miscellaneous information |
5.1. |
| Title |
Orthogonal Transformations and the Cartan -- Dieudonne Theorem -- |
| Miscellaneous information |
5.2. |
| Title |
The Clifford -- Lipschitz Group -- |
| Miscellaneous information |
5.3. |
| Title |
The Pin Group and the Spin Group -- |
| Miscellaneous information |
5.4. |
| Title |
Conformal Transformations in Clifford Algebras -- |
| Miscellaneous information |
5.5. |
| Title |
Additional Readings -- |
| Miscellaneous information |
5.6. |
| Title |
Exercises -- |
| Miscellaneous information |
6. |
| Title |
Spinors -- |
| Miscellaneous information |
6.1. |
| Title |
The Babel of Spinors -- |
| Miscellaneous information |
6.2. |
| Title |
Algebraic Spinors -- |
| Miscellaneous information |
6.3. |
| Title |
Classical Spinors -- |
| Miscellaneous information |
6.4. |
| Title |
Spinor Operators -- |
| Miscellaneous information |
6.5. |
| Title |
A Comparison of the Different Definitions of Spinors -- |
| Miscellaneous information |
6.6. |
| Title |
The Inner Product in the Space of Algebraic Spinors -- |
| Miscellaneous information |
6.7. |
| Title |
The Triality Principle in the Clifford Algebraic Context -- |
| Miscellaneous information |
6.8. |
| Title |
Pure Spinors -- |
| Miscellaneous information |
6.9. |
| Title |
Dual Rotations, and the Penrose Flagpole -- |
| Miscellaneous information |
6.10. |
| Title |
Weyl Spinors in Cl3,0 -- |
| Miscellaneous information |
6.11. |
| Title |
Weyl Spinors in the Clifford Algebra Cl0,3 H H -- |
| Miscellaneous information |
6.12. |
| Title |
Spinor Transformations -- |
| Miscellaneous information |
6.13. |
| Title |
Spacetime Vectors as Paravectors of Cl3,0 from Weyl Spinors -- |
| Miscellaneous information |
6.14. |
| Title |
Paravectors of Cl4,1 in Cl3,0 via the Periodicity Theorem -- |
| Miscellaneous information |
6.15. |
| Title |
Twistors as Geometric Multivectors -- |
| Miscellaneous information |
6.16. |
| Title |
Spinor Classification According to Bilinear Covariants -- |
| Miscellaneous information |
6.17. |
| Title |
Additional Readings -- |
| Miscellaneous information |
6.18. |
| Title |
Exercises -- |
| Miscellaneous information |
Appendix |
| Title |
A The Standard Two-Component Spinor Formalism -- |
| Miscellaneous information |
A.1. |
| Title |
Weyl Spinors -- |
| Miscellaneous information |
A.2. |
| Title |
Contravariant Undotted Spinors -- |
| Miscellaneous information |
A.3. |
| Title |
Covariant Undotted Spinors -- |
| Miscellaneous information |
A.4. |
| Title |
Contravariant Dotted Spinors -- |
| Miscellaneous information |
A.5. |
| Title |
Covariant Dotted Spinors -- |
| Miscellaneous information |
A.6. |
| Title |
Null Flags and Flagpoles -- |
| Miscellaneous information |
A.7. |
| Title |
The Supersymmetry Algebra -- |
| Miscellaneous information |
Appendix B |
| Title |
List of Symbols. |
| 596 ## - |
|---|
| -- |
1 2 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Clifford algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Spinor analysis. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Spinor analysis |
| Source of heading or term |
fast |
| Authority record control number or standard number |
(OCoLC)fst01129990 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Clifford algebras. |
| Source of heading or term |
fast |
| Authority record control number or standard number |
(OCoLC)fst00864221 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Clifford-Algebra |
| Source of heading or term |
gnd |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Spinoranalysis |
| Source of heading or term |
gnd |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Rocha Jr., Roldão da, |
| Dates associated with a name |
1976- |
| Relator term |
author. |
| 938 ## - |
|---|
| -- |
Brodart |
| -- |
BROD |
| -- |
114742537 |
| 938 ## - |
|---|
| -- |
Baker and Taylor |
| -- |
BTCP |
| -- |
BK0018305664 |
| 938 ## - |
|---|
| -- |
Coutts Information Services |
| -- |
COUT |
| -- |
33160799 |
| 938 ## - |
|---|
| -- |
YBP Library Services |
| -- |
YANK |
| -- |
12757143 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
| 994 ## - |
|---|
| -- |
Z0 |
| -- |
SUPMU |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) |
|---|
| h (OCLC) |
NO HOLDINGS IN SUPMU - 64 OTHER HOLDINGS |