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Complex Analysis: An Introduction [Print Replica] Kindle Edition
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Dr Kevin Houston follows up his best-selling book How to Think Like a Mathematician with Complex Analysis: An Introduction. Complex Analysis is a central subject in mathematics with applications in engineering, physics, and even the study of prime numbers. It has been said that often the shortest route in the solution of a real problem is to take a shortcut through the complex numbers.
Unlike other texts this book gets quickly to the heart of Complex Analysis: the concept of complex contour integration. This means that students get much more practice in the fundamental concept than they normally would. The central method of proof - use of the Estimation Lemma - is emphasised throughout because students then have a unifying principle to help understand and remember those proofs.
The book contains all you will need for an introductory course in Complex Analysis and includes a short and sweet proof of Cauchy's Theorem - one which the majority of students can grasp not only the outline but the details as well.
The book contains copious examples and exercises tested on students arising from Dr. Houston's 20 years plus experience of teaching the subject
Unlike other texts this book gets quickly to the heart of Complex Analysis: the concept of complex contour integration. This means that students get much more practice in the fundamental concept than they normally would. The central method of proof - use of the Estimation Lemma - is emphasised throughout because students then have a unifying principle to help understand and remember those proofs.
The book contains all you will need for an introductory course in Complex Analysis and includes a short and sweet proof of Cauchy's Theorem - one which the majority of students can grasp not only the outline but the details as well.
The book contains copious examples and exercises tested on students arising from Dr. Houston's 20 years plus experience of teaching the subject
- LanguageEnglish
- Publication date20 July 2017
- File size5031 KB
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Product details
- ASIN : B07453DV5Y
- Publisher : x to the power of n (20 July 2017)
- Language : English
- File size : 5031 KB
- Text-to-Speech : Not enabled
- Enhanced typesetting : Not Enabled
- X-Ray : Not Enabled
- Word Wise : Not Enabled
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4.4 out of 5 stars
4.4 out of 5
6 global ratings
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Karl der Kleine
3.0 out of 5 stars
Keine guten Erklärungen
Reviewed in Germany on 31 October 2021Verified Purchase
Das Buch hat durchaus gute Stellen. Aber in den Beweisschritten werden zu wenig Erklärungen gegeben. Man muss dann ewig lange suchen und überlegen, welche Formel hier benutzt wurde. Da fehlt der Spaß beim Lernen. Als Anfänger würde ich lieber das Buch von Zill wählen. Dieses erklärt nicht nur besser, sondern hat auch mehr Inhalt.
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Carl Mclaren
5.0 out of 5 stars
A Computational Approach to Complex Analysis
Reviewed in the United States on 10 August 2017Verified Purchase
I'm not aware of any introduction to complex analysis like this one. The author believes you learn math by doing math and I couldn't agree more. So this is heavily oriented to computation. So you get a pencil and a pad of paper, roll up your sleeves, and learn how to actually use the theorems to compute things like nasty integrals and summation of series. The closest book to this one is probably the wildly successful Visual Complex Analysis by Needham. If you want to tackle a book like Ahlfors Complex Analysis I would recommend you do this first and also possibly Needham.
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