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An Introduction to the Circle Method by M. Ram Murty, Kaneenika Sinha
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Item specifics
- Condition
- ISBN
- 9781470472030
About this product
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
1470472031
ISBN-13
9781470472030
eBay Product ID (ePID)
11061231652
Product Key Features
Number of Pages
257 Pages
Language
English
Publication Name
Introduction to the Circle Method
Subject
General
Publication Year
2023
Type
Textbook
Subject Area
Mathematics
Series
Student Mathematical Library
Format
Trade Paperback
Dimensions
Item Height
0.8 in
Item Weight
6.2 Oz
Item Length
8.5 in
Item Width
5.5 in
Additional Product Features
LCCN
2023-009446
TitleLeading
An
Series Volume Number
104
Table Of Content
Introduction and overview Fundamental theorem for arithmetic Arithmetic functions Introduction to congruence arithmetic Distribution of prime numbers An introduction to Waring's problem Waring's problem Exponential sums The circle method and Waring's problem The circle method and the Goldbach conjectures Epilogue Bibliography Index.
Synopsis
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., 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 ......, 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.
LC Classification Number
QA241.M853 2023
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Seller Feedback (10,215)
- d***i (212)- Feedback left by buyer.Past 6 monthsVerified purchasePacked safely and securely - Shipping was slow (10 days from an hour and a half away!) but it was Free! I thought Price was especially reasonable! Book came in Exactly as Described and I can't wait to start reading it! I Recommend this Seller!
- e***j (91)- Feedback left by buyer.Past 6 monthsVerified purchaseA rocky start after I had to NUDGE the Seller into checking on my order after MORE than a week with NOTHING happening... But Seller communication was GOOD and the item showed up, well packaged, within the delivery window. Item was well priced, and they had a series that I STRUGGLED to find elsewhere, in NEW condition. I would recommend this seller if you can't find it elsewhere, that's the best I can give them.Chillin' in Another World with Level 2 Super Cheat Powers (Manga) Vol. 1 (#305350494827)
- n***_ (1193)- Feedback left by buyer.Past monthVerified purchasehigh quality, gorgeous, blank book in pristine condition as described was carefully packaged, promptly shipped & arrived on time. a great value - book in perfect condition! i do recommend this seller!