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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.
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.
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.
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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