Institutt for matematiske fag

TMA4175 KOMPLEKS ANALYSE (COMPLEX ANALYSIS)

Spring 2007

27.04, 4.5, 8.5 repetition of the syllabus.

About the course

"Complex analysis is a splendid realm within the world of mathematics, unmatched for its beauty and power. It has varifold elegant and oftentimes unexpected applications to virtually every part of mathematics. It is broadly applicable beyond mathematics, and in particular it provides powerful tools for the sciences and engineering."

Book

Elias Stein & Rami Shakarchi: Complex Analysis, Princeton.

Lectures

Tuesday 14–16, F4
Friday 12–14, F4

Exercises

Monday 16–17, F3.

 

15.1. § 1. 4, ex. 1, 3, 7, 9, 10, 12, 13

22.1. § 1.4, ex. 14, 15, 16 a, b, c, d, 17, 19, 25

29.1  § 2.6, ex. 1, 2, 5, 7, 10.

5.2    § 2.6, ex. 8,11,14. § 3.8, ex. 1, 2, 3 ,4

12.2  § 3.8, ex. 6, 7, 9, 10, 11, 13.

19.2 § 3.8, ex. 12,15,16,17. § 3.9, ex. 3.

12.3 § 5.6, ex. 1, 2, 6, 7, 8, 9

19.3 § 5.6, ex. 10, 11, 13. Comments on midterm.

26.3 § 8.5, ex. 4,5,6,9,10. Study Figure 1, p. 213. Read §8.6, Problem 2.

16.4 § 8.5, ex. 11, 13b, 14, 20a.

23.4 § 6.3 ex. 2, 3, 5, 6, 7a.

30.4 § 7.3 ex. 1, 5, 10. § 8.5 ex. 12

7.5 § 1.4 ex.. 11, § 2.6 ex.. 3, § 3.8 ex.. 8, § 5.7 ex .1, § 8.5 ex.. 20b.

 

 

Syllabus

Chapters 1–3 and 5-8 from the book. The exercises.

Examination

Written examination 29.5.2007 (counts 80%) and midterm  13.03.2007(counts 20%).

Teacher

Peter Lindqvist, 1152 SB II, NTNU

Other references

L. V. Ahlfors: Complex Analysis can also be consulted.

 

Z. Nehari: Introduction to Complex Analysis. – This book is elementary with good exercises.

R. Boas: Invitation to Complex Analysis. – A good exposition, easy to read.

R. Nevanlinna & V. Paatero: Introduction to Complex Analysis " ("Einführung in die Funktionentheorie) – This is the best one!

 

Th. Gamelin: Complex Analysis.


 

* * NTNU
* Fakultet
* Institutt

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Oppdatert: 02.04.2003
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