Hardcover ISBN:  9780883857595 
Product Code:  TEXT/13 
List Price:  $75.00 
MAA Member Price:  $56.25 
AMS Member Price:  $56.25 
eBook ISBN:  9781614446040 
Product Code:  TEXT/13.E 
List Price:  $69.00 
MAA Member Price:  $51.75 
AMS Member Price:  $51.75 
Hardcover ISBN:  9780883857595 
eBook: ISBN:  9781614446040 
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 
Hardcover ISBN:  9780883857595 
Product Code:  TEXT/13 
List Price:  $75.00 
MAA Member Price:  $56.25 
AMS Member Price:  $56.25 
eBook ISBN:  9781614446040 
Product Code:  TEXT/13.E 
List Price:  $69.00 
MAA Member Price:  $51.75 
AMS Member Price:  $51.75 
Hardcover ISBN:  9780883857595 
eBook ISBN:  9781614446040 
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 DetailsAMS/MAA TextbooksVolume: 13; 2009; 177 pp
This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multivariable 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. Oneparameter 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


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 Book Details
 Table of Contents
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 Reviews
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This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multivariable 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. Oneparameter 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