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Quadratic Residues and Non-Residues (Record no. 426480)

MARC details
000 -LEADER
fixed length control field 03904nam a22005655i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9783319459554
-- 978-3-319-45955-4
024 7# -
-- 10.1007/978-3-319-45955-4
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA241-247.5
072 #7 -
-- PBH
-- bicssc
072 #7 -
-- MAT022000
-- bisacsh
072 #7 -
-- PBH
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 512.7
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Wright, Steve.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Quadratic Residues and Non-Residues
Medium [electronic resource] :
Remainder of title Selected Topics /
Statement of responsibility, etc by Steve Wright.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Cham :
Name of producer, publisher, distributor, manufacturer Springer International Publishing :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture 2016.
300 ## -
-- XIII, 292 p. 20 illus.
-- 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 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Lecture Notes in Mathematics,
-- 0075-8434 ;
-- 2171
505 0# -
-- Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime -- Chapter 2. Basic Facts -- Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity -- Chapter 4. Four Interesting Applications of Quadratic Reciprocity -- Chapter 5. The Zeta Function of an Algebraic Number Field and Some Applications -- Chapter 6. Elementary Proofs -- Chapter 7. Dirichlet L-functions and the Distribution of Quadratic Residues -- Chapter 8. Dirichlet's Class-Number Formula -- Chapter 9. Quadratic Residues and Non-residues in Arithmetic Progression -- Chapter 10. Are quadratic residues randomly distributed? -- Bibliography.
520 ## -
-- This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory. The first three chapters present some basic facts and the history of quadratic residues and non-residues and discuss various proofs of the Law of Quadratic Reciprosity in depth, with an emphasis on the six proofs that Gauss published. The remaining seven chapters explore some interesting applications of the Law of Quadratic Reciprocity, prove some results concerning the distribution and arithmetic structure of quadratic residues and non-residues, provide a detailed proof of Dirichlet’s Class-Number Formula, and discuss the question of whether quadratic residues are randomly distributed. The text is a valuable resource for graduate and advanced undergraduate students as well as for mathematicians interested in number theory.
650 #0 -
-- Number theory.
650 #0 -
-- Algebra.
650 #0 -
-- Field theory (Physics).
650 #0 -
-- Discrete groups.
650 #0 -
-- Fourier analysis.
650 14 -
-- Number Theory.
-- http://scigraph.springernature.com/things/product-market-codes/M25001
650 24 -
-- Commutative Rings and Algebras.
-- http://scigraph.springernature.com/things/product-market-codes/M11043
650 24 -
-- Field Theory and Polynomials.
-- http://scigraph.springernature.com/things/product-market-codes/M11051
650 24 -
-- Convex and Discrete Geometry.
-- http://scigraph.springernature.com/things/product-market-codes/M21014
650 24 -
-- Fourier Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12058
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9783319459547
776 08 -
-- Printed edition:
-- 9783319459561
830 #0 -
-- Lecture Notes in Mathematics,
-- 0075-8434 ;
-- 2171
856 40 -
-- https://doi.org/10.1007/978-3-319-45955-4
912 ## -
-- ZDB-2-SMA
912 ## -
-- ZDB-2-LNM
950 ## -
-- Mathematics and Statistics (Springer-11649)

No items available.

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