It takes the average reader 4 hours and 40 minutes to read An Introduction to the Circle Method by M. Ram Murty
Assuming a reading speed of 250 words per minute. Learn more
The circle method, pioneered by Ramanujan and Hardy in the early 20th century, has over the past 100 years become part of the standard tool chest of analytic number theory. Its scope of applications is ever-expanding, and the subject continues to see important breakthroughs. This book provides an introduction to the circle method that is accessible to undergraduate students with no background in number theory. The authors' goal is to show the students the elegance of the circle method and at the same time give a complete solution of the famous Waring problem as an illustration of the method. The first half of this book is a curated introduction to elementary number theory with an emphasis on topics needed for the second half. The second half showcases the two most “classic” applications of the circle method, to Waring's problem (following Hardy–Littlewood–Hua) and to Goldbach's conjectures (following Vinogradov, with improvements by Vaughan). This text is suitable for a one-semester undergraduate course or for independent study and will be a great entry point into this fascinating area of research.
An Introduction to the Circle Method by M. Ram Murty is 280 pages long, and a total of 70,000 words.
This makes it 94% the length of the average book. It also has 86% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 22 minutes to read An Introduction to the Circle Method aloud.
An Introduction to the Circle Method is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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