MARC details
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| fixed length control field |
02044 a2200253 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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240307b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470472030 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.7 MUR |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Murty, M. Ram |
| 245 ## - TITLE STATEMENT |
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| Title |
Introduction to the circle method |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Providence, Rhode Island: |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
2023. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xix, 257p.: |
| Other physical details |
pbk.: |
| Dimensions |
22cm |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Student Mathematical Library, Volume 104 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliography & index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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.<br/><br/>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.<br/><br/>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).<br/><br/>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.<br/><br/>https://bookstore.ams.org/view?ProductCode=STML/104#:~:text=The%20circle%20method%2C%20pioneered%20by,continues%20to%20see%20important%20breakthroughs. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Number Theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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Linear Algebraic Groups |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Arithmetic Functions |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Goldbach Conjectures |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Prime Numbers |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Sinha, Kaneenika |
| Relator term |
Co-author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
