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[ subject:"Numbers, Complex." ]
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A friendly approach to complex analy...
~
Maad Sasane, Sara, (1971-)
A friendly approach to complex analysis /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
A friendly approach to complex analysis /Sara Maad Sasane, Amol Sasane.
作者:
Maad Sasane, Sara,
其他作者:
Sasane, A.
出版者:
Singapore ;World Scientific,c2014.
面頁冊數:
xv, 272 p. :ill. ;24 cm.
標題:
Functions of complex variables.
ISBN:
9789814578981 (hbk.) :
A friendly approach to complex analysis /
Maad Sasane, Sara,1971-
A friendly approach to complex analysis /
Sara Maad Sasane, Amol Sasane. - Singapore ;World Scientific,c2014. - xv, 272 p. :ill. ;24 cm.
Includes bibliographical references (p. 269) and index.
1. Complex numbers and their geometry -- 2. Complex differentiability -- 3. Cauchy integral theorem and consequences -- 4. Taylor and Laurent series -- 5. Harmonic functions.
The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. 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 expansions. Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text.
ISBN: 9789814578981 (hbk.) :NT$2174Subjects--Topical Terms:
185972
Functions of complex variables.
LC Class. No.: QA331 / .M224 2014
Dewey Class. No.: 515.9
A friendly approach to complex analysis /
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A friendly approach to complex analysis /
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1. Complex numbers and their geometry -- 2. Complex differentiability -- 3. Cauchy integral theorem and consequences -- 4. Taylor and Laurent series -- 5. Harmonic functions.
520
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The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. 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 expansions. Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text.
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