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Lie Groups: A Problem-Oriented Introduction via Matrix Groups
 
Lie Groups
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-88385-759-5
Product Code:  TEXT/13
List Price: $75.00
MAA Member Price: $56.25
AMS Member Price: $56.25
eBook ISBN:  978-1-61444-604-0
Product Code:  TEXT/13.E
List Price: $69.00
MAA Member Price: $51.75
AMS Member Price: $51.75
Hardcover ISBN:  978-0-88385-759-5
eBook: ISBN:  978-1-61444-604-0
Product Code:  TEXT/13.B
List Price: $144.00 $109.50
MAA Member Price: $108.00 $82.13
AMS Member Price: $108.00 $82.13
Lie Groups
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Lie Groups: A Problem-Oriented Introduction via Matrix Groups
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-88385-759-5
Product Code:  TEXT/13
List Price: $75.00
MAA Member Price: $56.25
AMS Member Price: $56.25
eBook ISBN:  978-1-61444-604-0
Product Code:  TEXT/13.E
List Price: $69.00
MAA Member Price: $51.75
AMS Member Price: $51.75
Hardcover ISBN:  978-0-88385-759-5
eBook ISBN:  978-1-61444-604-0
Product Code:  TEXT/13.B
List Price: $144.00 $109.50
MAA Member Price: $108.00 $82.13
AMS Member Price: $108.00 $82.13
  • Book Details
     
     
    AMS/MAA Textbooks
    Volume: 132009; 177 pp

    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.

    Ancillaries:

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Symmetries of vector spaces
    • Chapter 2. Complex numbers, quaternions and geometry
    • Chapter 3. Linearization
    • Chapter 4. One-parameter subgroups and the exponential map
    • Chapter 5. Lie algebras
    • Chapter 6. Matrix groups over other fields
    • Appendix I. Linear algebra facts
    • Appendix II. Paper assignment used at Mount Holyoke College
    • Appendix III. Opportunities for further study
  • Additional Material
     
     
  • Reviews
     
     
    • The strength of the Pollatsek book lies in its many exercises and its many opportunities for students to explore ideas that arise during the development of Lie theory....If you want to teach a course that introduces students to the richness of mathematics within the context of Lie theory and leads them to explore mathematical possibilities that arise in this interplay of algebra and calculus I recommend Pollatsek.

      The UMAP Journal
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Instructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manual
    Examination Copy – for faculty considering an AMS textbook for a course
    Accessibility – to request an alternate format of an AMS title
Volume: 132009; 177 pp

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.

Ancillaries:

  • Chapters
  • Chapter 1. Symmetries of vector spaces
  • Chapter 2. Complex numbers, quaternions and geometry
  • Chapter 3. Linearization
  • Chapter 4. One-parameter subgroups and the exponential map
  • Chapter 5. Lie algebras
  • Chapter 6. Matrix groups over other fields
  • Appendix I. Linear algebra facts
  • Appendix II. Paper assignment used at Mount Holyoke College
  • Appendix III. Opportunities for further study
  • The strength of the Pollatsek book lies in its many exercises and its many opportunities for students to explore ideas that arise during the development of Lie theory....If you want to teach a course that introduces students to the richness of mathematics within the context of Lie theory and leads them to explore mathematical possibilities that arise in this interplay of algebra and calculus I recommend Pollatsek.

    The UMAP Journal
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Instructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manual
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.