Analytic methods for Diophantine equations and Diophantine inequalities / (Record no. 517789)
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| fixed length control field | 03450nam a22003858i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511542893 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160233.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090505s2005||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511542893 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521605830 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA242 |
| Item number | .D28 2005 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7/4 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Davenport, Harold, |
| Dates associated with a name | 1907-1969, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Analytic methods for Diophantine equations and Diophantine inequalities / |
| Statement of responsibility, etc | H. Davenport. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Analytic Methods for Diophantine Equations & Diophantine Inequalities |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xx, 140 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Cambridge mathematical library |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Waring's problem / |
| Statement of responsibility | R. C. Vaughan -- |
| Title | Forms in many variables / |
| Statement of responsibility | D. R. Heath-Brown -- |
| Title | Diophantine inequalities / |
| Statement of responsibility | D. E. Freeman -- |
| Miscellaneous information | 1. |
| Title | Introduction -- |
| Miscellaneous information | 2. |
| Title | Waring's problem : history -- |
| Miscellaneous information | 3. |
| Title | Weyl's inequality and Hua's inequality -- |
| Miscellaneous information | 4. |
| Title | Waring's problem : the asymptotic formula -- |
| Miscellaneous information | 5. |
| Title | Waring's problem : the singular series -- |
| Miscellaneous information | 6. |
| Title | singular series continued -- |
| Miscellaneous information | 7. |
| Title | equation c[subscript 1]x[subscript 1][superscript k] + ... + c[subscript s]x[subscript s][superscript k] = N -- |
| Miscellaneous information | 8. |
| Title | equation c[subscript 1]x[subscript 1][superscript k] + ... + c[subscript s]x[subscript s][superscript k] = 0 -- |
| Miscellaneous information | 9. |
| Title | Waring's problem : the number G(k) -- |
| Miscellaneous information | 10. |
| Title | equation c[subscript 1]x[subscript 1][superscript k] + ... + c[subscript s]x[subscript s][superscript k] = 0 again -- |
| Miscellaneous information | 11. |
| Title | General homogeneous equations : Birch's theorem -- |
| Miscellaneous information | 12. |
| Title | geometry of numbers -- |
| Miscellaneous information | 13. |
| Title | Cubic forms -- |
| Miscellaneous information | 14. |
| Title | Cubic forms : bilinear equations -- |
| Miscellaneous information | 15. |
| Title | Cubic forms : minor arcs and major arcs -- |
| Miscellaneous information | 16. |
| Title | Cubic forms : the singular integral -- |
| Miscellaneous information | 17. |
| Title | Cubic forms : the singular series -- |
| Miscellaneous information | 18. |
| Title | Cubic forms : the p-adic problem -- |
| Miscellaneous information | 19. |
| Title | Homogeneous equations of higher degree -- |
| Miscellaneous information | 20. |
| Title | Diophantine inequality. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three prominent authorities describe the modern context and recent developments. A thorough bibliography has also been added. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Diophantine analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Diophantine equations. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Browning, Tim, |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521605830 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Cambridge mathematical library. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511542893">https://doi.org/10.1017/CBO9780511542893</a> |
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