Fundamental perceptions in contemporary number theory / (Record no. 8962)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04350cam a22005538i 4500 |
| 001 - CONTROL NUMBER | |
| control field | on1381095855 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20241121073153.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr ||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230517s2023 nyu ob 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2023019292 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | DLC |
| Modifying agency | YDX |
| -- | N$T |
| -- | EBLCP |
| 019 ## - | |
| -- | 1378770297 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9798886978643 |
| Qualifying information | (adobe pdf) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9798886977943 |
| Qualifying information | (hardcover) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 3619761 |
| -- | (N$T) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1381095855 |
| Canceled/invalid control number | (OCoLC)1378770297 |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA241 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7 |
| Edition number | 23/eng20230708 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kannan, J. |
| Titles and other words associated with a name | (Mathematician), |
| Relator term | author. |
| 9 (RLIN) | 24443 |
| 245 10 - TITLE STATEMENT | |
| Title | Fundamental perceptions in contemporary number theory / |
| Statement of responsibility, etc | J. Kannan, Manju Somanath. |
| 263 ## - PROJECTED PUBLICATION DATE | |
| Projected publication date | 2307 |
| 264 #1 - | |
| -- | [New York] : |
| -- | [Nova Science Publishers], |
| -- | [2023] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Computational Mathematics and Analysis Series |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "The current state and future directions of numerous facets of contemporary number theory are examined in this book "Fundamental Perceptions in Contemporary Number Theory" from a unified standpoint. The theoretical foundations of contemporary theories are unveiled as a consequence of simple challenges. Additionally, this book makes an effort to present the contents as simply as possible. It is primarily intended for novice mathematicians who have tried reading other works but have struggled to comprehend them due to complex reasoning"-- |
| -- | Provided by publisher. |
| 588 ## - | |
| -- | Description based on print version record and CIP data provided by publisher; resource not viewed. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 1 Divisibility -- 1.1. Preliminaries -- 1.2. Division Algorithm -- .1.3. GCD, LCM and Euclidean -- 1.4. The Fundamental Theorem of Arithmetic -- Practical Challenges -- Answers to Practical Challenges -- Challenges From CSIR- NET -- Chapter 2Classical Functions of NumberTheory -- 2.1. Arithmetic Functions -- 2.2. Some Classical Arithmetic Functions -- 2.2.1. The Mobius Function -- 2.2.2. The Euler Totient Function |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2.2.3. The Sum and Number of Divisors -- 2.3. Greatest Integer Function -- Practical Challenges -- Answers to Practical Challenges -- Challenges From CSIR- NET -- Chapter 3Theory of Congruences -- chapter.3.1. Basic Properties of -- 3.2. Divisibility Tests -- 3.3. Theory of Residues -- 3.4. Linear Congruences -- 3.5. Congruences of Higher Degree -- 3.6. Fermat- Little Theorem and its Applications -- Practical Challenges -- Answers to Practical Challenges -- Challenges From CSIR- NET -- Chapter 4Primitive Roots and Indices -- 4.1. Order of an Integer -- 4.2. Primitive Roots |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4.3. Primitive Root Theorem -- 4.4. Theory of Indices -- Practical Challenges -- Answers to Practical Challenges -- Challenges From CSIR- NET -- Chapter 5Quadratic Reciprocity -- 5.1. Quadratic Residues and Non Residues -- 5.2. Legendre Symbol and Its Properties -- 5.3. Jacobi Symbol and Its Properties -- 5.4. Quadratic Reciprocity Law -- Practical Challenges -- Answers to Practical Challenges -- Chapter 6Special Numbers -- 6.1. Perfect Numbers -- 6.2. Mersenne Numbers -- 6.3. Amicable Numbers -- 6.4. Fermat Numbers -- 6.5. Pell Numbers -- Practical Challenges -- Chapter 7Waring's Problem |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7.1. Sum of Two Squares -- 7.2. Difference of Two Squares -- 7.3. Sum of Three Squares -- 7.4. Sum of Four Squares -- 7.5. Waring's Problem. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | WorldCat record variable field(s) change: 050, 082 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Number theory. |
| 9 (RLIN) | 24444 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Somanath, Manju, |
| Relator term | author. |
| 9 (RLIN) | 24445 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| Main entry heading | Kannan, J. |
| Title | Fundamental perceptions in contemporary number theory |
| Place, publisher, and date of publication | [New York] : [Nova Science Publishers], [2023] |
| International Standard Book Number | 9798886977943 |
| Record control number | (DLC) 2023019291 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Computational mathematics and analysis series. |
| 9 (RLIN) | 24446 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | EBSCOhost |
| Uniform Resource Identifier | <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3619761">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3619761</a> |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 3619761 |
| 938 ## - | |
| -- | YBP Library Services |
| -- | YANK |
| -- | 20211846 |
| 938 ## - | |
| -- | ProQuest Ebook Central |
| -- | EBLB |
| -- | EBL30552217 |
| 994 ## - | |
| -- | 92 |
| -- | N$T |
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