Introduction to modern number theory : fundamental problems, ideas and theories / Yuri Ivanovic Manin, Alexei A. Panchishkin.
""Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered inc...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Ebook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2005]
|
| Edition: | Second edition. |
| Series: | Encyclopaedia of mathematical sciences ;
v. 49. |
| Subjects: | |
| Online Access: | Springer eBooks |
MARC
| LEADER | 00000czm a2200000 i 4500 | ||
|---|---|---|---|
| 005 | 20231012155600.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 081017s2005 gw a ob 001 0 eng d | ||
| 011 | |a BIB MATCHES WORLDCAT | ||
| 011 | |a Direct Search Result | ||
| 011 | |a EDS Title: Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of mathematical sciences, 0938-0396 ; v. 49) | ||
| 011 | |a Has 564 WorldCat Holdings | ||
| 011 | |a MARC Score : 11250(23450) : OK | ||
| 020 | |a 1280337540 |q Internet | ||
| 020 | |a 3540276920 | ||
| 020 | |a 3540276920 |q Internet | ||
| 020 | |a 9781280337543 |q Internet | ||
| 020 | |a 9783540276920 | ||
| 020 | |a 9783540276920 |q Internet | ||
| 020 | |z 1280337540 |q Internet | ||
| 020 | |z 3540203648 | ||
| 020 | |z 9781280337543 |q Internet | ||
| 020 | |z 9783540203643 | ||
| 035 | |a (ATU)b19447048 | ||
| 035 | |a (EDS)EDS286207 | ||
| 035 | |a (OCoLC)262680604 | ||
| 037 | |a 978-3-540-20364-3 |b Springer |n http://www.springerlink.com | ||
| 040 | |a GW5XE |b eng |e rda |c GW5XE |d GW5XE |d IDEBK |d N$T |d YDXCP |d CNTRU |d E7B |d OCLCQ |d TUU |d IAD |d DEBSZ |d COO |d OCLCF |d TXI |d NLGGC |d ATU | ||
| 050 | 4 | |a QA241 |b .M262 2005eb | |
| 082 | 0 | 4 | |a 512.7 |2 22 |
| 100 | 1 | |a Manin, I︠U︡. I. |e author. |9 334988 | |
| 240 | 1 | 0 | |a Teorii︠a︡ chisel 1. |l English |
| 245 | 1 | 0 | |a Introduction to modern number theory : |b fundamental problems, ideas and theories / |c Yuri Ivanovic Manin, Alexei A. Panchishkin. |
| 246 | 1 | 5 | |a Number theory I |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Berlin ; |a New York : |b Springer, |c [2005] | |
| 264 | 4 | |c ©2005 | |
| 300 | |a 1 online resource (xv, 514 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopaedia of mathematical sciences, |x 0938-0396 ; |v v. 49 | |
| 500 | |a First ed. originally issued as: Teorii︠a︡ chisel 1, v. 49 of the serial: Itogi i nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalʹnye napravlenii︠a︡. | ||
| 500 | |a Rev. and updated version of Number theory I. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Problems and Tricks: -- |t Number Theory -- |t Some Applications of Elementary Number Theory -- |t Ideas and Theories: -- |t Induction and Recursion -- |t Arithmetic of algebraic numbers -- |t Arithmetic of algebraic varieties -- |t Zeta Functions and Modular Forms -- |t Fermat’s Last Theorem and Families of Modular Forms -- |t Analogies and Visions: -- |t Introductory survey to part III: motivations and description -- |t Arakelov Geometry and Noncommutative Geometry (d’après C. Consani and M. Marcolli, [CM]) -- |t Arakelov Geometry and Noncommutative Geometry (d’après C. Consani and M. Marcolli, [CM]) |
| 520 | |a ""Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions.This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects.From the reviews of the 2nd edition:"… For my part, I come to praise this fine volume. This book is a highly instructive read … the quality, knowledge, and expertise of the authors shines through. … The present volume is almost startlingly up-to-date ..." (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007)"--Publisher's website. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 588 | |a Machine converted from AACR2 source record. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Number theory. |9 321509 | |
| 700 | 1 | |a Panchishkin, A. A. |q (Alekseĭ Alekseevich), |e author. |9 252450 | |
| 830 | 0 | |a Encyclopaedia of mathematical sciences ; |v v. 49. |x 0938-0396. |9 1061040 | |
| 856 | 4 | 0 | |u https://ezproxy.aut.ac.nz/login?url=https://link.springer.com/10.1007/3-540-27692-0 |z Springer eBooks |x TEMPORARY ERM URL |
| 907 | |a .b19447048 |b 06-09-21 |c 04-11-16 | ||
| 942 | |c EB | ||
| 998 | |a none |b 11-05-18 |c m |d z |e - |f eng |g gw |h 0 | ||
| 999 | |c 1367493 |d 1367493 | ||