Summing it up : (Record no. 81339)
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| fixed length control field | 06298cam a2200925 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn946158222 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220908100110.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160408s2016 nju ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | N$T |
| Modifying agency | OCLCO |
| -- | IDEBK |
| -- | YDXCP |
| -- | EBLCP |
| -- | CDX |
| -- | YDX |
| -- | CUT |
| -- | IDB |
| -- | MCW |
| -- | MNW |
| -- | OCLCQ |
| -- | UAB |
| -- | OCLCQ |
| -- | DEGRU |
| -- | MERUC |
| -- | OCLCQ |
| -- | W2U |
| -- | OCLCF |
| -- | RRP |
| -- | OCLCQ |
| -- | WYU |
| -- | JSTOR |
| -- | TXC |
| -- | OCLCA |
| -- | OCLCQ |
| -- | OCLCO |
| -- | UX1 |
| -- | IEEEE |
| -- | OCLCO |
| -- | OCLCQ |
| -- | OCLCO |
| 019 ## - | |
| -- | 951561958 |
| -- | 959426977 |
| -- | 960029954 |
| -- | 964334345 |
| -- | 964528804 |
| -- | 969416516 |
| -- | 972145864 |
| -- | 972237619 |
| -- | 982201321 |
| -- | 987927839 |
| -- | 1162037888 |
| -- | 1175645406 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781400880539 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 140088053X |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691170190 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0691170193 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1515/9781400880539 |
| Source of number or code | doi |
| 024 8# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 40026175053 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000057620317 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000059224751 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000062381720 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000065052021 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV043588845 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV043892867 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)946158222 |
| Canceled/invalid control number | (OCoLC)951561958 |
| -- | (OCoLC)959426977 |
| -- | (OCoLC)960029954 |
| -- | (OCoLC)964334345 |
| -- | (OCoLC)964528804 |
| -- | (OCoLC)969416516 |
| -- | (OCoLC)972145864 |
| -- | (OCoLC)972237619 |
| -- | (OCoLC)982201321 |
| -- | (OCoLC)987927839 |
| -- | (OCoLC)1162037888 |
| -- | (OCoLC)1175645406 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 4333589 |
| Source of stock number/acquisition | Proquest Ebook Central |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/ctvc616vg |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9452511 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA241 |
| Item number | .A85 2016eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 002040 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 000000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 006000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 022000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ash, Avner, |
| Dates associated with a name | 1949- |
| 9 (RLIN) | 64747 |
| 245 10 - TITLE STATEMENT | |
| Title | Summing it up : |
| Remainder of title | from one plus one to modern number theory / |
| Statement of responsibility, etc. | Avner Ash and Robert Gross. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Princeton : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2016] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | �20 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| Encoding format | |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | We use addition on a daily basis--yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series--long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+ ... =? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem. Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Frontmatter -- |
| -- | CONTENTS -- |
| -- | PREFACE -- |
| -- | ACKNOWLEDGMENTS -- |
| -- | INTRODUCTION: WHAT THIS BOOK IS ABOUT -- |
| -- | PART ONE. FINITE SUMS -- |
| -- | CHAPTER 1. PROEM -- |
| -- | CHAPTER 2. SUMS OF TWO SQUARES -- |
| -- | CHAPTER 3. SUMS OF THREE AND FOUR SQUARES -- |
| -- | CHAPTER 4. SUMS OF HIGHER POWERS: WARING'S PROBLEM -- |
| -- | CHAPTER 5. SIMPLE SUMS -- |
| -- | CHAPTER 6. SUMS OF POWERS, USING LOTS OF ALGEBRA -- |
| -- | PART TWO. INFINITE SUMS -- |
| -- | CHAPTER 7. INFINITE SERIES -- |
| -- | CHAPTER 8. CAST OF CHARACTERS -- |
| -- | CHAPTER 9. ZETA AND BERNOULLI -- |
| -- | CHAPTER 10. COUNT THE WAYS -- |
| -- | PART III. MODULAR FORMS AND THEIR APPLICATIONS -- |
| -- | CHAPTER 11. THE UPPER HALF-PLANE -- |
| -- | CHAPTER 12. MODULAR FORMS -- |
| -- | CHAPTER 13. HOW MANY MODULAR FORMS ARE THERE? -- |
| -- | CHAPTER 14. CONGRUENCE GROUPS -- |
| -- | CHAPTER 15. PARTITIONS AND SUMS OF SQUARES REVISITED -- |
| -- | CHAPTER 16. MORE THEORY OF MODULAR FORMS -- |
| -- | CHAPTER 17. MORE THINGS TO DO WITH MODULAR FORMS: APPLICATIONS -- |
| -- | BIBLIOGRAPHY -- |
| -- | INDEX. |
| 546 ## - LANGUAGE NOTE | |
| Language note | In English. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | IEEE |
| Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
| 600 07 - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mathematik. |
| Source of heading or term | gnd |
| 9 (RLIN) | 64748 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Number theory. |
| 9 (RLIN) | 13208 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| Form subdivision | Popular works. |
| 9 (RLIN) | 64749 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Th�eorie des nombres. |
| 9 (RLIN) | 64750 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Math�ematiques |
| Form subdivision | Ouvrages de vulgarisation. |
| 9 (RLIN) | 64751 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Algebra |
| -- | Intermediate. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 64159 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | General. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 4635 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01012163 |
| 9 (RLIN) | 11584 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Number theory. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01041214 |
| 9 (RLIN) | 13208 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Addition |
| Source of heading or term | gnd |
| 9 (RLIN) | 64752 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Zahl |
| Source of heading or term | gnd |
| 9 (RLIN) | 64753 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Zahlentheorie |
| Source of heading or term | gnd |
| 9 (RLIN) | 64754 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Philosophie |
| Source of heading or term | gnd |
| 9 (RLIN) | 64755 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 3294 |
| 655 #7 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Popular works. |
| Source of term | fast |
| Authority record control number or standard number | (OCoLC)fst01423846 |
| 9 (RLIN) | 6581 |
| 655 #7 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Obras de divulgaci�on. |
| Source of term | lcgft |
| 9 (RLIN) | 64756 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gross, Robert, |
| Dates associated with a name | 1959- |
| 9 (RLIN) | 64757 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Ash, Avner, 1949- |
| Title | Summing it up. |
| Place, publisher, and date of publication | Princeton : Princeton University Press, [2016] |
| International Standard Book Number | 9780691170190 |
| Record control number | (DLC) 2015037578 |
| -- | (OCoLC)922970903 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452511">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452511</a> |
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| -- | 34172281 |
| 938 ## - | |
| -- | De Gruyter |
| -- | DEGR |
| -- | 9781400880539 |
| 938 ## - | |
| -- | EBL - Ebook Library |
| -- | EBLB |
| -- | EBL4333589 |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 1107941 |
| 938 ## - | |
| -- | ProQuest MyiLibrary Digital eBook Collection |
| -- | IDEB |
| -- | cis34172281 |
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| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 994 ## - | |
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| -- | INTKS |
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