Proof of Alon’s Second Eigenvalue Conjecture and Related Problems. (Record no. 69694)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03076nam a22004453i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114163 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124602.0 |
| 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|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2008 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470405168 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821842805 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114163 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114163 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039782 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981826 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA193 -- .F75 2008eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.9/436 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Friedman, Joel. |
| 245 10 - TITLE STATEMENT | |
| Title | Proof of Alon’s Second Eigenvalue Conjecture and Related Problems. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2008. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (114 pages) |
| 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 |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.195 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Problems with the Standard Trace Method -- 1. The Trace Method -- 2. Limitations of the Trace Expansion -- Chapter 3. Background and Terminology -- 1. Graph Terminology -- 2. Variable-Length Graphs and Subdivisions -- 3. λ[sub(1)] of a VLG -- 4. Shannon's Algorithm and Formal Series -- 5. Limiting Graphs -- 6. Irreducible Eigenvalues -- 7. λ[sub(1)] and Closed Walks for Infinite Graphs -- 8. A Curious Theorem -- Chapter 4. Tangles -- Chapter 5. Walk Sums and New Types -- 1. Walk sums -- 2. The Loop -- 3. Forms, Types, and New Types -- 4. Motivation of Types and New Types -- Chapter 6. The Selective Trace -- 1. The General Selective Trace -- 2. A Lemma on Selective Walks -- 3. Determining τ[sub(fund)] for G[sub(n,d)] -- 4. Determining τ[sub(fund)] for H[sub(n,d)], I[sub(n,d)], and J[sub(n,d)] -- Chapter 7. Ramanujan Functions -- Chapter 8. An Expansion for Some Selective Traces -- Chapter 9. Selective Traces In Graphs With (Without) Tangles -- Chapter 10. Strongly Irreducible Traces -- Chapter 11. A Sidestepping Lemma -- Chapter 12. Magnification Theorems -- Chapter 13. Finishing the G[sub(n,d)] Proof -- Chapter 14. Finishing the Proofs of the Main Theorems -- Chapter 15. Closing Remarks -- Glossary -- Bibliography. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Eigenvalues. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Friedman, Joel |
| Title | Proof of Alon’s Second Eigenvalue Conjecture and Related Problems |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2008 |
| International Standard Book Number | 9780821842805 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114163">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114163</a> |
| Public note | Click to View |
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