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Transcendental Numbers (Record no. 370878)

MARC details
000 -LEADER
fixed length control field	03334nam a22004815i 4500
001 - CONTROL NUMBER
control field	978-1-4939-0832-5
003 - CONTROL NUMBER IDENTIFIER
control field	DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20180115171538.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field	cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	140624s2014 xxu\| s \|\|\|\| 0\|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9781493908325
--	978-1-4939-0832-5
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code	10.1007/978-1-4939-0832-5
Source of number or code	doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number	QA241-247.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code	PBH
Source	bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code	MAT022000
Source	bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	512.7
Edition number	23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Murty, M. Ram.
Relator term	author.
245 10 - TITLE STATEMENT
Title	Transcendental Numbers
Medium	[electronic resource] /
Statement of responsibility, etc.	by M. Ram Murty, Purusottam Rath.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture	New York, NY :
Name of producer, publisher, distributor, manufacturer	Springer New York :
--	Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice	2014.
300 ## - PHYSICAL DESCRIPTION
Extent	XIV, 217 p.
Other physical details	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
Encoding format	PDF
Source	rda
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note	1. Liouville’s theorem -- 2. Hermite’s Theorem -- 3. Lindemann’s theorem -- 4. The Lindemann-Weierstrass theorem -- 5. The maximum modulus principle -- 6. Siegel’s lemma -- 7. The six exponentials theorem -- 8. Estimates for derivatives -- 9. The Schneider-Lang theorem -- 10. Elliptic functions -- 11. Transcendental values of elliptic functions -- 12. Periods and quasiperiods -- 13. Transcendental values of some elliptic integrals -- 14. The modular invariant -- 15. Transcendental values of the j-function -- 16. More elliptic integrals -- 17. Transcendental values of Eisenstein series -- 18. Elliptic integrals and hypergeometric series -- 19. Baker’s theorem -- 20. Some applications of Baker’s theorem -- 21. Schanuel’s conjecture -- 22. Transcendental values of some Dirichlet series -- 23. Proof of the Baker-Birch-Wirsing theorem -- 24. Transcendence of some infinite series -- 25. Linear independence of values of Dirichlet L-functions -- 26. Transcendence of values of modular forms -- 27. Transcendence of values of class group L-functions -- 28. Periods, multiple zeta functions and (3). .
520 ## - SUMMARY, ETC.
Summary, etc.	This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Algebra.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Mathematical analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Analysis (Mathematics).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Number theory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Number Theory.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Algebra.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Analysis.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Rath, Purusottam.
Relator term	author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element	SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title	Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information	Printed edition:
International Standard Book Number	9781493908318
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier	<a href="http://dx.doi.org/10.1007/978-1-4939-0832-5">http://dx.doi.org/10.1007/978-1-4939-0832-5</a>
912 ## -
--	ZDB-2-SMA

Holdings
Withdrawn status	Lost status	Damaged status	Not for loan	Collection code	Home library	Current library	Date acquired	Total Checkouts	Date last seen	Price effective from	Koha item type
	Not Lost			EBook	e-Library	e-Library	15/01/2018		15/01/2018	15/01/2018	eBook