It takes the average reader 4 hours and 50 minutes to read Modular Forms, a Computational Approach by William A. Stein
Assuming a reading speed of 250 words per minute. Learn more
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 applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --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.
Modular Forms, a Computational Approach by William A. Stein is 290 pages long, and a total of 72,500 words.
This makes it 98% the length of the average book. It also has 89% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 36 minutes to read Modular Forms, a Computational Approach aloud.
Modular Forms, a Computational Approach is suitable for students ages 12 and up.
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