Course material
Lecture notes
Click here for the final version-revised Uploaded 2.12.2016.
They are updated weekly with new material to be covered during that week. Note that the material is "work in progress".
Books
There is no book for this course, but the following references are recommend for deepening the understanding of the syllabus. They are only suggestions; you can use the books you like, or none at all. These are just recommendations and you are not supposed to purchase any of these books. Herewith, I encourage you to go to the library or search on the web for the topics covered in the course and pick some material that suits your background and your studying habits best.
| Book | Relevant chapters | Description |
|---|---|---|
| Lax: Linear Algebra and its Applications, 2nd ed., Wiley. | 1-8, 14-15. Appendices: A,B. | The text develops the material from the perspective of functional analysis and applications in various areas. |
| Friedberg et. al.: Linear Algebra, 4th ed, Pearson.1) | 1.1–1.6, 2.1–2.6, 3.1 (repetition), 3.2, 3.4, Chapter 4 (repetition), 5.1, 5.2, 5.4, 6.1–6.8, 7.1–7.2. Appendices: A,B. | The book gives a thorough introduction to linear algebra. |
| Strang: Linear algebra and its applications. | 1.2–1.6, 2.1–2.4, 2.6, 3.1, 3.3–3.4, Chapter 4 (repetition), 5.1–5.2, 5.5–5.6, 6.1–6.3. Appendix B. | This book contains a wealth of examples on many aspects of linear algebra. |
| Kreyszig: Introductory Functional Analysis with Applications, John Wiley & Sons. Selected material from this book will be available at the department office for a small fee. | Chapter 1, 2.1–2.4, 2.6–2.10, 3.1–3.5, 3.8–3.10, Chapter 5, 7.1. Appendices: A.1.1–A.1.2, A.1.6.2) | The book by Kreyszig provides basic facts about functional analysis for anyone with a knowledge of linear algebra and calculus. |
| Young: An introduction to Hilbert space, Cambridge University Press. | Chapters 1–4 and 6–7. | An elegant introduction to Hilbert spaces. |