Algebraic curves and riemann surfaces for undergraduates : (Record no. 3203)
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fixed length control field | 02011nam a2200301Ia 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240201181209.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 231229s9999 xx 000 0 und d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783031116155 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | IISER BPR |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | Eng |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 516.352 |
Item number | NER |
Edition number | 23rd |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Nerode, Anil |
245 #0 - TITLE STATEMENT | |
Title | Algebraic curves and riemann surfaces for undergraduates : |
Remainder of title | The theory of the donut |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc | Switzerland: |
Name of publisher, distributor, etc | Springer Nature, |
Date of publication, distribution, etc | c2022 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | xiv, 450p. : |
Other physical details | ill (pbk). ; |
Dimensions | 22cm. |
520 ## - SUMMARY, ETC. | |
Summary, etc | The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience. At the heart of the subject is the theory of elliptic functions and elliptic curves. A complex torus (or “donut”) is both an abelian group and a Riemann surface. It is obtained by identifying points on the complex plane. At the same time, it can be viewed as a complex algebraic curve, with addition of points given by a geometric “chord-and-tangent” method. This book carefully develops all of the tools necessary to make sense of this isomorphism. The exposition is kept as elementary as possible and frequently draws on familiar notions in calculus and algebra to motivate new concepts. Based on a capstone course given to senior undergraduates, this book is intended as a textbook for courses at this level and includes a large number of class-tested exercises. The prerequisites for using the book are familiarity with abstract algebra, calculus and analysis, as covered in standard undergraduate courses.<br/><br/>Includes bibliography and index. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Geometry |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Algebric Curves |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Riemann Surfaces |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Greenberg, Noam |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | Books |
Source of classification or shelving scheme | Dewey Decimal Classification |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
947 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
a | 4823.552331 |
948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) | |
Series part designator, SPT (RLIN) | 0.22 |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type |
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Dewey Decimal Classification | Vigyanpuri Campus | Vigyanpuri Campus | 16/01/2024 | 42 | 3909.19 | 516.352 NER | 006527 | 16/01/2024 | 0.00 | 16/01/2024 | Books |