Title
Algebraic Curves and Riemann Surfaces (Graduate Studies in Mathematics, Vol 5) (Graduate Studies in Mathematics, 5),New
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In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking center stage. But the main examples come from projective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the RiemannRoch and Serre Duality Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a MittagLeffler problem. Sheaves and cohomology are introduced as a unifying device in the latter chapters, so that their utility and naturalness are immediately obvious. Requiring a background of a one semester of complex variable! theory and a year of abstract algebra, this is an excellent graduate textbook for a secondsemester course in complex variables or a yearlong course in algebraic geometry.
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- Q: What is the size of the book? A: The book measures seven point twenty-five inches in length, one inch in width, and ten point fifty-one inches in height.
- Q: How many pages does the book have? A: The book contains three hundred and ninety pages, providing an extensive overview of algebraic curves and Riemann surfaces.
- Q: What type of binding does this book have? A: This book features a hardcover binding, ensuring durability for frequent use in academic settings.
- Q: What prior knowledge is needed to understand this book? A: A background of one semester in complex variable theory and one year in abstract algebra is recommended for readers.
- Q: Who is the author of this book? A: The author of this book is Rick Miranda, a respected figure in the field of mathematics.
- Q: What is the main focus of the book? A: The main focus is on algebraic curves, particularly over the complex numbers, integrating classical concepts from geometry.
- Q: How do I use this book for studying mathematics? A: This book serves as a graduate textbook, ideal for courses in complex variables or algebraic geometry, guiding readers through essential concepts.
- Q: Is this book suitable for beginners in mathematics? A: No, this book is designed for graduate students with prior knowledge in complex variables and abstract algebra.
- Q: Can I use this book for self-study? A: Yes, this book can be used for self-study, especially if the reader has the recommended background knowledge.
- Q: How should I store this book to keep it in good condition? A: Store the book upright on a shelf, away from direct sunlight and moisture, to maintain its condition.
- Q: What is the best way to clean the book? A: To clean the book, gently wipe the cover with a soft, dry cloth to avoid damage to the binding.
- Q: Is this book safe for all ages? A: Yes, the book contains no explicit content, making it appropriate for any age with the requisite educational background.
- Q: What if the book arrives damaged? A: If the book arrives damaged, contact the seller for a return or exchange within their specified return policy.
- Q: Is there a warranty for this book? A: Typically, books do not come with a warranty, but check the seller's return policy for more information.
- Q: How can I contact support if I have questions about the book? A: Contact the seller or publisher through their official website or customer service for any inquiries regarding the book.