Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics
Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills
Encludes numerous examples and applications relevant to science and engineering students
Rezensionen / Stimmen
"A good point of the book is the selections of questions and exercises at the end of each section. They are very carefully selected and will help students with reading comprehension and with application of the material of the current section. Most of the time the exercises progress nicely from simple applications of concepts to problems that will expand the student's horizons." -MAA Reviews "By using this book the reader can get a good background on complex analysis and become ready for further study of deeper chapters of Complex Analysis and its Applications."-Zentralblatt Math
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Lower undergraduate
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Illustrationen
Maße
Höhe: 235 mm
Breite: 163 mm
Dicke: 29 mm
Gewicht
ISBN-13
978-0-8176-4457-4 (9780817644574)
DOI
10.1007/978-0-8176-4513-7
Schweitzer Klassifikation
Algebraic and Geometric Preliminaries.- Topological and Analytic Preliminaries.- Bilinear Transformations and Mappings.- Elementary Functions.- Analytic Functions.- Power Series.- Complex Integration and Cauchy's Theorem.- Applications of Cauchy's Theorem.- Laurent Series and the Residue Theorem.- Harmonic Functions.- Conformal Mapping and the Riemann Mapping Theorem.- Entire and Meromorphic Functions.- Analytic Continuation.
