Lecture Notes On Complex Analysis by Ivan Francis Wilde (PDF)

Description

This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King’s College, London, as part of the Bsc. and Msci. program. Its aim is to provide a gentle yet rigorous first course on complex analysis. Metric space aspects of the complex plane are discussed in detail, making this text an excellent introduction to metric space theory. The complex exponential and trigonometric functions are defined from first principles and great care is taken to derive their familiar properties. In particular, the appearance of ?, in this context, is carefully explained. The central results of the subject, such as Cauchy’s Theorem and its immediate corollaries, as well as the theory of singularities and the Residue Theorem are carefully treated while avoiding overly complicated generality. Throughout, the theory is illustrated by examples. A number of relevant results from real analysis are collected, complete with proofs, in an appendix. The approach in this book attempts to soften the impact for the student who may feel less than completely comfortable with the logical but often overly concise presentation of mathematical analysis elsewhere.

User’s Reviews

Editorial Reviews: Review “Good bibliography; adequate index.” — Choice “Choice”

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Excellent lecture notes. Not really a regular textbook. I used it as supplemental reading for “Complex Variables” by Levinson and Redheffer.

⭐This is a great book on complex analysis . It is mathematically wellmotivated. So every step is taken for a given reason. The steps do not drop from thin air. It covers a lot of material in a compact andunderstandable form and yet is is only 238 pages long. The book has somesurprises I have never seen anywhere. For instance on page page 11 theauthor after saying ” now watch closely”, proceeds to show , without no obvious flaws that 1=-1 ! This is carefully explained latter on page 103immediately after showing an example were [(z.w) ^1/2] is not equal to[(z)^1/2 . (w)^1/2]. As you can see complex powers are thoroughly explained and so are the other topics treated in this book

⭐

Keywords

Free Download Lecture Notes On Complex Analysis in PDF format
Lecture Notes On Complex Analysis PDF Free Download
Download Lecture Notes On Complex Analysis 2006 PDF Free
Lecture Notes On Complex Analysis 2006 PDF Free Download
Download Lecture Notes On Complex Analysis PDF
Free Download Ebook Lecture Notes On Complex Analysis