An Introduction to the Circle Method (Paperback)

Language: English

Published by American Mathematical Society, Providence, 2023

1470472031 / 9781470472030

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Paperback. 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. This book provides an introduction to the circle method that is accessible to undergraduate students with no background in number theory. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9781470472030

Title
An Introduction to the Circle Method (Paperback)
Author
M. Ram Murty
Publisher
American Mathematical Society, Providence
Publication year
2023
Condition
new
Binding
Paperback
Language
English
ISBN 10
1470472031
ISBN 13
9781470472030

AussieBookSeller

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