Lie groups : a problem-oriented introduction via matrix groups
Material type:
TextSeries: MAA textbooksPublication details: Telangana : Universities Press, 2022. Description: xii, 177 p. : ill. ; 27 cmISBN: 9789393330185Subject(s): Lie groups | Lie groups -- Problems, exercises, etc | Matrix groups | Lie-Gruppe | MatrizengruppeDDC classification: 512.81 Online resources: Table of contents | Reviews Summary: 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
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NISER LIBRARY | 512.81 POL-L (Browse shelf(Opens below)) | Available | 25298 |
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| 512.81 FAR-A Analysis on lie groups: an introduction | 512.81 GIL-L Lie groups, lie algebras and some of their applications | 512.81 KNA-L Lie groups beyond an introduction | 512.81 POL-L Lie groups : a problem-oriented introduction via matrix groups | 512.81 TAO-H Hilbert's fifth problem and related topics | 512.812 ANK-L Lie theory: harmonic analysis on symmetric spaces, general Plancherel theorems | 512.812 ANK-L Lie theory |
Includes bibliographical references (p. 169-170) and indexes.
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.
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