Title
Modular Forms, a Computational Approach (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 79),Used
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This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in appl John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.
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Frequently Asked Questions
- Q: What is the main focus of 'Modular Forms, a Computational Approach'? A: The book primarily focuses on the computational aspects of modular forms, providing a detailed exploration of how to compute various properties of these mathematical structures.
- Q: Who is the author of the book and what are his qualifications? A: The author is William Stein, an associate professor of mathematics at the University of Washington. He holds a PhD in mathematics from UC Berkeley and has experience at prestigious institutions like Harvard University and UC San Diego.
- Q: Is this book suitable for beginners in modular forms? A: Yes, the book can serve as an introductory text alongside traditional treatments of modular forms, making it accessible for beginners.
- Q: What software is referenced in the book for computational examples? A: The book illustrates its concepts using the author's own software package, SAGE, which is freely available.
- Q: What is the publication date of 'Modular Forms, a Computational Approach'? A: The book was published on February 13, 2007.
- Q: How many pages does the book contain? A: The book contains 268 pages.
- Q: What condition is the book in? A: The book is listed as 'New'.
- Q: What academic category does this book fall under? A: The book falls under the category of Algebra.
- Q: What key topics are covered in the book? A: Key topics include modular forms, elliptic curves, and computational mathematics.
- Q: Is this book useful for practical applications of modular forms? A: Yes, it is particularly helpful for those who wish to apply modular forms in practical scenarios, as it emphasizes computational methods.