Complex Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book Complex Analysis by Serge Lang, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Serge Lang ISBN: 9783642592737
Publisher: Springer Berlin Heidelberg Publication: March 14, 2013
Imprint: Springer Language: English
Author: Serge Lang
ISBN: 9783642592737
Publisher: Springer Berlin Heidelberg
Publication: March 14, 2013
Imprint: Springer
Language: English

The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read­ ing material for students on their own. A large number of routine exer­ cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read­ ing material for students on their own. A large number of routine exer­ cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues.

More books from Springer Berlin Heidelberg

Cover of the book Introduction to Microsystem Design by Serge Lang
Cover of the book Analytical Methods in Wood Chemistry, Pulping, and Papermaking by Serge Lang
Cover of the book Kindheit - aufs Spiel gesetzt by Serge Lang
Cover of the book Biosystems Engineering II by Serge Lang
Cover of the book Lebensphase hohes Alter: Verletzlichkeit und Reife by Serge Lang
Cover of the book Graphene Quantum Dots by Serge Lang
Cover of the book Astrobiology, History, and Society by Serge Lang
Cover of the book Global Emission Inventory and Atmospheric Transport of Black Carbon by Serge Lang
Cover of the book Basics of Oncology by Serge Lang
Cover of the book The Software Industry by Serge Lang
Cover of the book Trustworthy Computing and Services by Serge Lang
Cover of the book Architecture Principles by Serge Lang
Cover of the book Psychologie im Familienrecht - zum Nutzen oder Schaden des Kindes? by Serge Lang
Cover of the book Temporal and Spatial Patterns in Carbonate Platforms by Serge Lang
Cover of the book Multiphoton Processes and Attosecond Physics by Serge Lang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy