Lie groups : a problem-oriented introduction via matrix groups / Harriet Pollatsek.

Format:

Book

Author/Creator:

Pollatsek, Harriet Suzanne Katcher.

Contributor:

Mathematical Association of America.

Series:

MAA Textbooks

MAA textbooks

AMS/MAA Textbooks, 2577-1213 ; v. 13

Language:

English

Subjects (All):

Lie groups.

Lie groups--Problems, exercises, etc.

Matrix groups.

Physical Description:

1 online resource (190 p.)

Edition:

1st ed.

Place of Publication:

[Washington, D.C.] : Mathematical Association of America, c2009.

Language Note:

English

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.

Contents:

1. Symmetries of vector spaces

2. Complex numbers, quaternions and geometry

3. Linearization

4. One-parameter subgroups and the exponential map

5. Lie algebras

6. Matrix groups over other fields.

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 169-170) and indexes.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

9781614446040

1614446040

OCLC:

929120365