Quadratic Residues and Non-Residues (Record no. 426480)
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000 -LEADER | |
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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 |
-- | |
-- | 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) |
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