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

• Chapter 1. Symmetries of vector spacesChapter 2. Complex numbers, quaternions and geometryChapter 3. LinearizationChapter 4. One-parameter subgroups and the exponential mapChapter 5. Lie algebrasChapter 6. Matrix groups over other fieldsAppendix I. Linear algebra factsAppendix II. Paper assignment used at Mount Holyoke CollegeAppendix 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

• Chapter 1. Symmetries of vector spacesChapter 2. Complex numbers, quaternions and geometryChapter 3. LinearizationChapter 4. One-parameter subgroups and the exponential mapChapter 5. Lie algebrasChapter 6. Matrix groups over other fieldsAppendix I. Linear algebra factsAppendix II. Paper assignment used at Mount Holyoke CollegeAppendix 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

• Chapter 1. Symmetries of vector spacesChapter 2. Complex numbers, quaternions and geometryChapter 3. LinearizationChapter 4. One-parameter subgroups and the exponential mapChapter 5. Lie algebrasChapter 6. Matrix groups over other fieldsAppendix I. Linear algebra factsAppendix II. Paper assignment used at Mount Holyoke CollegeAppendix III. Opportunities for further study