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A FRIENDLY APPROACH TO COMPLEX ANALYSIS : 2nd edition

Sasane, Sara Maad LU and Sasane, Amol LU (2023)
Abstract

The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students seeking rigour. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series. Each section contains several problems, which are not drill exercises, but are meant to reinforce the fundamental concepts. Detailed solutions to all the 243 exercises appear... (More)

The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students seeking rigour. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series. Each section contains several problems, which are not drill exercises, but are meant to reinforce the fundamental concepts. Detailed solutions to all the 243 exercises appear at the end of the book, making the book ideal for self-study. There are many figures illustrating the text. The second edition corrects errors from the first edition, and includes 89 new exercises, some of which cover auxiliary topics that were omitted in the first edition. Two new appendices have been added, one containing a detailed rigorous proof of the Cauchy Integral Theorem, and another providing background in real analysis needed to make the book self-contained.

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Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Book/Report
publication status
published
subject
edition
2nd
pages
212 pages
publisher
World Scientific Publishing
external identifiers
  • scopus:85173881317
ISBN
9789811272806
9789811272813
DOI
10.1142/13321
language
English
LU publication?
yes
id
78153d68-37e3-4a0a-814f-7e58350f6ec1
date added to LUP
2024-01-12 12:51:30
date last changed
2024-04-13 06:20:41
@book{78153d68-37e3-4a0a-814f-7e58350f6ec1,
  abstract     = {{<p>The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students seeking rigour. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series. Each section contains several problems, which are not drill exercises, but are meant to reinforce the fundamental concepts. Detailed solutions to all the 243 exercises appear at the end of the book, making the book ideal for self-study. There are many figures illustrating the text. The second edition corrects errors from the first edition, and includes 89 new exercises, some of which cover auxiliary topics that were omitted in the first edition. Two new appendices have been added, one containing a detailed rigorous proof of the Cauchy Integral Theorem, and another providing background in real analysis needed to make the book self-contained.</p>}},
  author       = {{Sasane, Sara Maad and Sasane, Amol}},
  isbn         = {{9789811272806}},
  language     = {{eng}},
  publisher    = {{World Scientific Publishing}},
  title        = {{A FRIENDLY APPROACH TO COMPLEX ANALYSIS : 2nd edition}},
  url          = {{http://dx.doi.org/10.1142/13321}},
  doi          = {{10.1142/13321}},
  year         = {{2023}},
}