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This textbook introduces the subject of complex analysis to
advanced undergraduate and graduate students in a clear and concise
manner. Key features of this textbook: effectively organizes the
subject into easily manageable sections in the form of 50
class-tested lectures, uses detailed examples to drive the
presentation, includes numerous exercise sets that encourage
pursuing extensions of the material, each with an "Answers or
Hints" section, covers an array of advanced topics which allow for
flexibility in developing the subject beyond the basics, provides a
concise history of complex numbers. An Introduction to Complex
Analysis will be valuable to students in mathematics, engineering
and other applied sciences. Prerequisites include a course in
calculus.
This textbook introduces the subject of complex analysis to
advanced undergraduate and graduate students in a clear and concise
manner. Key features of this textbook: effectively organizes the
subject into easily manageable sections in the form of 50
class-tested lectures, uses detailed examples to drive the
presentation, includes numerous exercise sets that encourage
pursuing extensions of the material, each with an "Answers or
Hints" section, covers an array of advanced topics which allow for
flexibility in developing the subject beyond the basics, provides a
concise history of complex numbers. An Introduction to Complex
Analysis will be valuable to students in mathematics, engineering
and other applied sciences. Prerequisites include a course in
calculus.
This book introduces the reader to powerful methods of critical
point theory and details successful contemporary approaches to many
problems, some of which had proved resistant to attack by older
methods. Topics covered include Morse theory, critical groups, the
minimax principle, various notions of linking, jumping
nonlinearities and the Fucik spectrum in an abstract setting,
sandwich pairs and the cohomological index. Applications to
semilinear elliptic boundary value problems, p-Laplacian problems
and anisotropic systems are given. Written for graduate students
and research scientists, the book includes numerous examples and
presents more recent developments in the subject to bring the
reader up to date with the latest research.
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