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59941723
Complex Analysis (Undergraduate Texts in Mathematics)
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Item #:
59941723
XOF 48749
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The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school.
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What Stands Out
Comprehensive Coverage
This text offers an in-depth exploration of complex analysis, incorporating foundational theories and advanced topics, making it suitable for both beginners and advanced students of mathematics.
Structured Learning
Organized in a clear, systematic manner, this book facilitates effective learning with logical progression of concepts, ensuring students can grasp each topic before moving on to more complex ideas.
Real-World Applications
The text includes practical examples and applications of complex analysis in various fields, enhancing the understanding of theoretical concepts and demonstrating their relevance in real-world situations.
Product Details
- The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters are aimed at an Upper Division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain.
| Publisher | Springer |
| Publication date | May 18, 2001 |
| Edition | 2001st |
| Language | English |
| Print length | 498 pages |
| ISBN-10 | 0387950931 |
| ISBN-13 | 978-0387950938 |
| Item Weight | 1.92 pounds (870 grams) |
| Dimensions | 6.14 x 1.06 x 9.21 inches (15.6 x 2.7 x 23.4 cm) |
| Part of series | Undergraduate Texts in Mathematics |
Who Should Buy?
-
Undergraduate Students
Ideal for undergraduate students seeking a comprehensive introduction to complex analysis fundamentals for mathematics courses.
-
Self-Learners
Perfect for motivated self-learners who wish to understand complex analysis through clear explanations and numerous examples.
-
Educators
Useful for educators teaching complex analysis, providing structured material and pedagogical approaches for effective classroom delivery.
-
Beginners
Not suited for absolute beginners without a basic understanding of calculus and complex numbers, as foundational knowledge is assumed.
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Features & Benefits
- Designed for students with prior knowledge of complex numbers.
- Covers sixteen comprehensive chapters.
- First eleven chapters target Upper Division undergraduate students.
- Last five chapters prepare for PhD qualifying exams.
- Explores key topics like Julia sets, Mandelbrot set, Dirichlet series, and more.
- Includes a range of exercises from simple to challenging.
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