Title
Complex Analysis (Undergraduate Texts in Mathematics),Used
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Beginning with the ?rst edition of Complex Analysis, we have attempted to present the classical and beautiful theory of complex variables in the clearest and most intuitive form possible. The changes inthisedition, which include additions to ten of the nineteen chapters, are intended to provide the additional insights that can be obtainedby seeing a little more of the bigpicture.This includesadditional related results and occasional generalizations that place the results inaslightly broader context. The Fundamental Theorem of Algebra is enhanced by three related results. Section 1.3 offers a detailed look at the solution of the cubic equation and its role in the acceptance of complex numbers. While there is no formula for determining the rootsof a generalpolynomial,we added a section on NewtonsMethod,a numerical technique for approximating the zeroes of any polynomial. And the GaussLucas Theorem provides an insight into the location of the zeroes of a polynomial and those of its derivative. Aseries of new results relate to the mapping properties of analytic functions. Arevised proof of Theorem 6.15 leads naturally to a discussion of the connection between critical points and saddle points in the complex plane. The proof of the SchwarzRe?ectionPrinciplehasbeenexpandedtoincludere?ectionacrossanalytic arcs, which plays a key role in a new section (14.3) on the mapping properties of analytic functions on closed domains. And our treatment of special mappings has been enhanced by the inclusion of SchwarzChristoffel transformations.
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- Q: What is the page count of 'Complex Analysis'? A: This book has three hundred forty pages. It's a comprehensive text covering various aspects of complex variables.
- Q: What are the dimensions of this book? A: The dimensions are six point fourteen inches in length, zero point ninety-nine inches in width, and nine point twenty-one inches in height.
- Q: What type of binding does this book have? A: The book features a hardcover binding. This provides durability for frequent use and ensures the pages remain protected.
- Q: Who is the author of 'Complex Analysis'? A: The author is Lars Ahlfors. He is a renowned mathematician known for his work in complex analysis.
- Q: Is this book suitable for beginners in mathematics? A: Yes, it is suitable for undergraduate students. The text aims to present complex variables in an intuitive form.
- Q: Can I use this book for self-study? A: Yes, this book is excellent for self-study. It includes clear explanations and a wealth of examples that facilitate understanding.
- Q: How should I care for this hardcover book? A: Keep it in a dry, cool place and avoid exposure to direct sunlight. This will help preserve the binding and pages.
- Q: Are there any special storage recommendations for this book? A: Store it upright on a shelf to prevent bending. You can also place it in a protective cover for added safety.
- Q: Is there a warranty or guarantee for this book? A: No, there is typically no warranty for books. However, you may check with the retailer for their return policy.
- Q: What if the book arrives damaged? A: Contact the seller immediately for a replacement or return. Most retailers have policies for damaged items.
- Q: How does this book compare to other texts in mathematical analysis? A: This book is distinguished by its clear presentation of complex variables. It balances theory with practical examples, making it a favorite among students.
- Q: Is this book appropriate for advanced mathematics courses? A: While it is aimed at undergraduates, advanced students may find it useful for foundational concepts. It provides a solid base for more complex studies.
- Q: What topics are covered in 'Complex Analysis'? A: The book covers various topics including the Fundamental Theorem of Algebra, analytic functions, and special mappings.
- Q: Are there exercises included in the book? A: Yes, the book includes numerous exercises. These are designed to reinforce the concepts discussed in each chapter.
- Q: Does this book provide historical context for complex analysis? A: Yes, the text offers insights into the historical development of complex analysis and its applications in mathematics.
- Q: Is there an index or glossary in this book? A: Yes, the book includes an index and glossary. These resources help readers quickly locate topics and key terms.