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Lie groups : a problem-oriented introduction via matrix groups

By: Pollatsek, Harriet.
Material type: materialTypeLabelBookSeries: American Mathematical Society / Mathematical Association of America Textbooks; vol. 13. / edited By Zaven A. Karian.Publisher: Providence, Rhode Island : Hyderabad Mathematical Association of America Press: Universities Press 2009Description: xii, 177p.ISBN: 9789393330185.Subject(s): Lie groupsDDC classification: 512.482 | P763l 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.
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An imprint of the American Mathematical Society

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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