Arithmetic of quadratic forms
This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains...
| Main Author: | Shimura, Gorō, 1930-2019. |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
©2010.
New York : [2010] |
| Physical Description: |
1 online resource (xi, 237 pages). |
| Series: |
Springer monographs in mathematics.
|
| Subjects: |
| LEADER | 05665cam a2201093 a 4500 | ||
|---|---|---|---|
| 001 | 668095829 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 101004s2010 nyu ob 001 0 eng d | ||
| 015 | |a GBA9A9592 |2 bnb | ||
| 015 | |a 09,N44,0617 |2 dnb | ||
| 016 | 7 | |a 015416011 |2 Uk | |
| 019 | |a 666740826 |a 680620688 |a 681350371 |a 771439180 |a 771439181 |a 1034907393 |a 1058396064 |a 1069547248 |a 1087020659 |a 1112591529 |a 1132912006 |a 1148104035 |a 1204012950 |a 1256297964 | ||
| 020 | |a 9781441917324 | ||
| 020 | |a 1441917322 | ||
| 020 | |a 1441917314 | ||
| 020 | |a 9781441917317 | ||
| 020 | |z 9781441917317 | ||
| 020 | |z 1441917314 | ||
| 020 | |a 9781283054256 |q (MyiLibrary) | ||
| 020 | |a 1283054256 | ||
| 024 | 3 | |a 9781441917317 | |
| 024 | 7 | |a 10.1007/978-1-4419-1732-4 |2 doi | |
| 028 | 5 | 2 | |a 12703982 |
| 035 | |a (OCoLC)668095829 |z (OCoLC)666740826 |z (OCoLC)680620688 |z (OCoLC)681350371 |z (OCoLC)771439180 |z (OCoLC)771439181 |z (OCoLC)1034907393 |z (OCoLC)1058396064 |z (OCoLC)1069547248 |z (OCoLC)1087020659 |z (OCoLC)1112591529 |z (OCoLC)1132912006 |z (OCoLC)1148104035 |z (OCoLC)1204012950 |z (OCoLC)1256297964 | ||
| 037 | |a 978-1-4419-1731-7 |b Springer |n http://www.springerlink.com | ||
| 040 | |a GW5XE |b eng |e pn |c GW5XE |d HNK |d YDXCP |d OCLCQ |d N$T |d OUN |d EBLCP |d QE2 |d E7B |d CDX |d OCLCQ |d OCLCF |d DEBSZ |d OCLCQ |d A7U |d OCLCQ |d Z5A |d LIP |d ESU |d OCLCQ |d VT2 |d IOG |d CEF |d U3W |d AU@ |d WYU |d OCLCQ |d CNTRU |d OCLCA |d UKAHL |d OCLCQ |d W2U |d U@J |d ERF |d OCLCQ |d DCT |d UAB |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ |d OCLCL |d S9M |d EZC | ||
| 049 | |a COM6 | ||
| 050 | 4 | |a QA243 |b .S55 2010 | |
| 072 | 7 | |a MAT |x 022000 |2 bisacsh | |
| 072 | 7 | |a PBH. |2 bicssc | |
| 082 | 0 | 4 | |a 512.74 |2 22 |
| 084 | |a SK 180 |2 rvk | ||
| 084 | |a SK 240 |2 rvk | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Shimura, Gorō, |d 1930-2019. |1 https://id.oclc.org/worldcat/entity/E39PCjr8vfcYQgGdGRbrqR6qPP. | |
| 245 | 1 | 0 | |a Arithmetic of quadratic forms / |c Goro Shimura. |
| 260 | |a New York : |b Springer, |c ©2010. | ||
| 264 | 1 | |a New York : |b Springer, |c [2010] | |
| 264 | 4 | |c ©2010. | |
| 300 | |a 1 online resource (xi, 237 pages). | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 347 | |a text file. | ||
| 347 | |b PDF. | ||
| 490 | 1 | |a Springer monographs in mathematics, |x 1439-7382. | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface -- Notation and Terminology -- The Quadratic Reciprocity Law -- Arithmetic in an Algebraic Number Field -- Various Basic Theorems -- Algebras Over a Field -- Quadratic Forms Over a Field -- Deeper Arithmetic of Quadratic Forms -- Quadratic Diophantine Equations -- References -- Index. | |
| 520 | |a This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case. To make the book concise, the author proves some basic theorems in number theory only in some special cases. However, the book is self-contained when the base field is the rational number field, and the main theorems are stated with an arbitrary number field as the base field. So the reader familiar with class field theory will be able to learn the arithmetic theory of quadratic forms with no further references. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Forms, Quadratic. | |
| 650 | 0 | |a Algebraic number theory. | |
| 650 | 6 | |a Formes quadratiques. | |
| 650 | 6 | |a Théorie algébrique des nombres. | |
| 650 | 7 | |a MATHEMATICS |x Number Theory. |2 bisacsh. | |
| 650 | 7 | |a Teoría algebraica de números. |2 embne. | |
| 650 | 0 | 7 | |a Formas cuadráticas. |2 embucm. |
| 650 | 7 | |a Algebraic number theory. |2 fast. | |
| 650 | 7 | |a Forms, Quadratic. |2 fast. | |
| 655 | 7 | |a dissertations. |2 aat. | |
| 655 | 7 | |a Academic theses. |2 fast. | |
| 655 | 7 | |a Academic theses. |2 lcgft. | |
| 655 | 7 | |a Thèses et écrits académiques. |2 rvmgf. | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 776 | 0 | 8 | |i Print version: |a Shimura, Gorō, 1930- |t Arithmetic of quadratic forms. |d New York : Springer, ©2010 |z 9781441917317 |z 1441917314 |w (OCoLC)465370319. |
| 830 | 0 | |a Springer monographs in mathematics. | |
| 907 | |a .b30409457 |b multi |c - |d 101015 |e 240516 | ||
| 998 | |a (3)cue |a cu |b 240404 |c m |d z |e - |f eng |g nyu |h 0 |i 2 | ||
| 948 | |a MARCIVE Overnight, in 2024.04 | ||
| 948 | |a MARCIVE Comp, in 2022.12 | ||
| 948 | |a MARCIVE Over, 07/2021 | ||
| 948 | |a MARCIVE Comp, 2019.05 | ||
| 948 | |a MARCIVE Comp, 2018.05 | ||
| 948 | |a MARCIVE August, 2017 | ||
| 948 | |a MARCIVE extract Aug 5, 2017 | ||
| 994 | |a 92 |b COM | ||
| 995 | |a Loaded with m2btab.ltiac in 2024.04 | ||
| 995 | |a Loaded with m2btab.elec in 2024.04 | ||
| 995 | |a Loaded with m2btab.ltiac in 2022.12 | ||
| 995 | |a Loaded with m2btab.ltiac in 2021.07 | ||
| 995 | |a Loaded with m2btab.elec in 2021.06 | ||
| 995 | |a Loaded with m2btab.ltiac in 2019.05 | ||
| 995 | |a Loaded with m2btab.ltiac in 2018.06 | ||
| 995 | |a Loaded with m2btab.ltiac in 2017.08 | ||
| 995 | |a Loaded with m2btab.elec in 2016 | ||
| 995 | |a Loaded with m2btab.elec in 2016 | ||
| 995 | |a OCLC offline update by CMU | ||
| 999 | |e z | ||
| 999 | |a cue | ||
| 989 | |d cueme |e - - |f - - |g - |h 0 |i 0 |j 200 |k 240404 |l $0.00 |m |n - - |o - |p 0 |q 0 |t 0 |x 0 |w SpringerLink |1 .i151328699 |u http://ezproxy.coloradomesa.edu/login?url=https://link.springer.com/10.1007/978-1-4419-1732-4 |3 SpringerLink |z Click here for access | ||