MARC details
| 000 -LEADER |
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| fixed length control field |
03181nam a22002897a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240627123700.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
160315b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470425937 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
English |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.381 |
| Item number |
LOZ-E |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Lozano-Robledo, Alvaro |
| 245 ## - TITLE STATEMENT |
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| Title |
Elliptic curves, modular forms, and their L-functions |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Providence : |
| Name of publisher, distributor, etc. |
American mathematical society, |
| Date of publication, distribution, etc. |
2010 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xiv, 194p. : |
| Other physical details |
ill. ; |
| Dimensions |
22 cm. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Student mathematical library ; |
| -- |
IAS/Park City mathematical subseries |
| Volume/sequential designation |
volume 58 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (p. 189-192) and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. The original simply stated problem can be obscured in the depth of the theory developed to understand it. This book is an introduction to some of these problems, and an overview of the theories used nowadays to attack them, presented so that the number theory is always at the forefront of the discussion.<br/>Lozano-Robledo gives an introductory survey of elliptic curves, modular forms, and L-functions. His main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory. As a case in point, Lozano-Robledo explains the modularity theorem and its famous consequence, Fermat's Last Theorem. He also discusses the Birch and Swinnerton-Dyer Conjecture and other modern conjectures. The book begins with some motivating problems and includes numerous concrete examples throughout the text, often involving actual numbers, such as 3, 4, 5, 3344161/747348, and 2244035177043369699245575130906674863160948472041/8912332268928859588025535178967163570016480830.<br/>The theories of elliptic curves, modular forms, and L-functions are too vast to be covered in a single volume, and their proofs are outside the scope of the undergraduate curriculum. However, the primary objects of study, the statements of the main theorems, and their corollaries are within the grasp of advanced undergraduates. This book concentrates on motivating the definitions, explaining the statements of the theorems and conjectures, making connections, and providing lots of examples, rather than dwelling on the hard proofs. The book succeeds if, after reading the text, students feel compelled to study elliptic curves and modular forms in all their glory.<br/> |
| 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 |
|---|
| Topical term or geographic name as entry element |
ELLIPTIC CURVES |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MODULAR FORMS |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
L-FUNCTION |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of Contents |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/stml-58-toc.pdf?_gl=1*gbm1tp*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ3MTUxOS4wLjAuMA..">https://www.ams.org/bookstore/pspdf/stml-58-toc.pdf?_gl=1*gbm1tp*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ3MTUxOS4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/14996775-elliptic-curves-modular-forms-and-their-l-functions-student-mathemati?from_search=true&from_srp=true&qid=4RceLwDuh1&rank=1#CommunityReviews">https://www.goodreads.com/book/show/14996775-elliptic-curves-modular-forms-and-their-l-functions-student-mathemati?from_search=true&from_srp=true&qid=4RceLwDuh1&rank=1#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
NBHM Books |
| Source of classification or shelving scheme |
Universal Decimal Classification |
