Lie Groups : (Record no. 79880)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05157nam a22004693i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3330427 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729125050.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2009 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781614446040 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780883857595 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3330427 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3330427 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10733070 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)929120365 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA387.P65 2009eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.482 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Pollatsek, Harriet. |
| 245 10 - TITLE STATEMENT | |
| Title | Lie Groups : |
| Remainder of title | A Problem Oriented Introduction Via Matrix Groups. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2009. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (190 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | cover -- copyright page -- title page -- Preface -- Notational Conventions -- Contents -- 1 Symmetries of vector spaces -- 1.1 What is a symmetry? -- 1.2 Distance is fundamental -- 1.3 Groups of symmetries -- 1.4 Bilinear forms and symmetries of spacetime -- 1.5 Putting the pieces together -- 1.6 A broader view: Lie groups -- 2 Complex numbers, quaternions and geometry -- 2.1 Complex numbers -- 2.2 Quaternions -- 2.3 The geometry of rotations of R^3 -- 2.4 Putting the pieces together -- 2.5 A broader view: octonions -- 3 Linearization -- 3.1 Tangent spaces -- 3.2 Group homomorphisms -- 3.3 Differentials -- 3.4 Putting the pieces together -- 3.5 A broader view: Hilbert's fifth problem -- 4 One-parameter subgroups and the exponential map -- 4.1 One-parameter subgroups -- 4.2 The exponential map in dimension 1 -- 4.3 Calculating the matrix exponential -- 4.4 Properties of the matrix exponential -- 4.5 Using exp to determine L.G/ -- 4.6 Differential equations -- 4.8 A broader view: Lie and differential equations -- 4.9 Appendix on convergence -- 5 Lie algebras -- 5.1 Lie algebras -- 5.2 Adjoint maps-big 'A' and small 'a' -- 5.3 Putting the pieces together -- 5.4 A broader view: Lie theory -- 6 Matrix groups over other fields -- 6.1 What is a field? -- 6.2 The unitary group -- 6.3 Matrix groups over finite fields -- 6.4 Putting the pieces together -- Suggestions for further reading -- 6.5 A broader view: finite groups of Lie type and simple groups -- Appendix I Linear algebra facts -- Appendix II Paper assignment used at Mount Holyoke College -- Appendix III Opportunities for further study -- Metric vector spaces and symmetries -- Lie algebras and Chevalley groups -- Quaternions and octonions -- Connections to physics -- Lie groups as manifolds -- Solutions to selected problems -- 1. Symmetries of vector spaces -- 1.1. What is a symmetry?. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1.2. Distance is fundamental -- 1.3. Groups of symmetries -- 1.4. Bilinear forms and symmetries of spacetime -- 2. Complex numbers, quaternions and geometry -- 2.1. Complex numbers -- 2.2. Quaternions -- 2.3. The geometry of rotations of R^3 -- 3. Linearization -- 3.1. Tangent spaces -- 3.2. Group homomorphisms -- 3.3. Differentials -- 4. One-parameter subgroups and the exponential map -- 4.1. One-parameter subgroups -- 4.2. The exponential map in dimension 1 -- 4.3. Calculating the matrix exponential -- 4.4. Properties of the matrix exponential -- 4.5. Using exp to determine L.G/ -- 4.6. Differential equations -- 5. Lie algebras -- 5.1. Lie algebras -- 5.2. Adjoint maps-big 'A' and small 'a' -- 6. Matrix groups over other fields -- 6.1. What is a field? -- 6.2. The unitary group -- 6.3. Matrix groups over finite fields -- Bibliography -- Index -- Notation -- About the Author. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multi-variable calculus and linear algebra. The emphasis is placed on the algebraic ideas, with just enough analysis to define the tangent space and the differential and to make sense of the exponential map. This textbook works on the principle that students learn best when they are actively engaged. To this end nearly 200 problems are included in the text, ranging from the routine to the challenging level. Every chapter has a section called "Putting the pieces together" in which all definitions and results are collected for reference and further reading is suggested. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Lie groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Lie groups -- Problems, exercises, etc. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrix groups. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Pollatsek, Harriet |
| Title | Lie Groups |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2009 |
| International Standard Book Number | 9780883857595 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330427">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330427</a> |
| Public note | Click to View |
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