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         Algebraic Number Theory:     more books (102)
  1. Elementary and Analytic Theory of Algebraic Numbers by WladyslawNarkiewicz, 1974
  2. Foundations of the theory of algebraic numbers; vol.1: Introduction to the general theory. by Harris Hancock, 1931-01-01
  3. Foundations of the Theory of Algebraic Numbers Volume II : The General Theory by Harris Hancock, 1960
  4. Finite field: Abstract algebra, Évariste Galois, Field (mathematics), Number theory, Algebraic geometry, Galois theory, Cryptography, Coding theory, Isomorphism, ... Frobenius endomorphism, Green's relations
  5. Foundations of the Theory of Algebraic Numbers Volume 1 by Harris; B593 Hancock, 1931-01-01
  6. The elements of the theory of algebraic numbers. by Legh Wilber by Reid. Legh Wilber. 1867-, 1910
  7. Algebraic Theory of Numbers by Hermann Weyl, 1940
  8. The elements of the theory of algebraic numbers. With an introduction by David Hilbert. by Legh Wilber Reid, 1946
  9. Abelian variety: Algebraic geometry, Complex analysis, Number theory, Algebraic variety, Algebraic group, Group (mathematics), Regular function, Field (mathematics)
  10. Number Theory ,Algebraic Numbers &Functions 2000 publication by HelmutKoch, 2000-01-01
  11. Theory of algebraic numbers: Notes by Gerhard Wurges from lectures held at the Mathematisches Institut, Gottingen, Germany, in the Winter semester, 1956/7 by Emil Artin, 1959
  12. The Theory of Algebraic Numbers by Harry Pollard, 1961-01-01
  13. Jacketed First edition Elementary Number Theory An Algebraic Approach by Ethan D. Bolker , 1969-01-01
  14. The Theory of Algebraic Numbers by Harry And Harold Diamond Pollard, 1975-01-01

101. CRC Press Online - Book: Algebraic Number Theory
Textbooks Only
http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=3989

102. NUS Dept Of Maths Algebra And Number Theory Seminars
Algebra and Number Theory Seminar. Schedule of meetings.
http://www.math.nus.edu.sg/~mattankm/AlgSem/
Department of Mathematics
National University of Singapore
Semester 1, 2005/6
Venue: Colloquium Room B (S14-03-09). Time: 2-3 pm
(unless otherwise stated)
10 Aug Lim Meng Fai Some characteristic classes in number theory 17 Aug Chan Song Heng Stephen The partition function and its generalizations 24 Aug Gregor Kempor, Technische Universit ät München (Venue: CRA, Time: 1-2 pm) Invariant theory and computer vision 31 Aug Kim Sangjib Standard monomial theory for flag algebras 7 Sep Nolan Wallach, University of California, San Diego (Colloquium Talk) Shuffling and r -quasisymmetric polynomials 14 Sep Chin Chee Whye Direct and inverse problems in representation theory 21 Sep Break 28 Sep Tan Kai Meng The Fock space representation of the quantum affine algebra of sl n 5 Oct Helmer Aslaksen (Venue: CRA, Time: 1-2 pm) Extending 12 Oct Cancelled
Abstracts
Some characteristic classes in number theory
Lim Meng Fai
The talk is based on a paper by Max Karoubi and Thierry Lambre, titled “Quelques classes caractéristiques en théorie des nombres” (Some characteristic classes in number theory), which appears in J. Reine. Angew. Math. 543 (2002), 169-186. The Dennis trace map mod

103. Henri Cohen. Computational Algebraic Number Theory
Quadratic fields provide an excellent testing and training ground for the techniques of algorithmic number theory (and for algebraic number theory in
http://www.ega-math.narod.ru/Books/Cohen.htm

104. Mastermath
Credits 8 credit points Instructors Top, J. (Rijksuniversiteit Groningen), Smit, B. de (Universiteit Leiden) Email J.Top@math.rug.nl, desmit@math.leidenuniv.nl
http://www.mastermath.nl/program/00003/00009/
About Mastermath Links Locations Contact ... Spring 2011
Algebraic Number Theory
Credits 8 credit points Instructors Top, J. (Rijksuniversiteit Groningen), Smit, B. de (Universiteit Leiden) E-mail J.Top@math.rug.nl desmit@math.leidenuniv.nl Description The course provides a thorough introduction to algebraic number theory. It treats the arithmetic of the number rings that occur in (algorithmic) practice. Topics:
  • Introduction to algebraic numbers and number rings. Ideal factorization, finiteness results on class groups and units, explicit computation of these invariants. Special topic: the number field sieve.
Each week, students have to hand in 4 exercises from the course notes out of those listed on the website of this course. Solving the more difficult problems will result in a higher grade. The final problem set of the course will be more substantial.
Organization Mondays from September 11 - December 18, 2006, 10:15 - 13:00. The final hour (12:15-13:00) will be devoted to homework problems. Examination The final grade is exclusively based on the results obtained for the weekly homework assignments. The last problem set will be more substantial and determine one third of the final grade. Literature We will use the course notes and homework exercises Prerequisites Undergraduate algebra, i.e., the basic properties of groups, rings and fields. This material is covered in first and second year algebra courses in the bachelor program of most universities. The course notes

105. INTRODUCTORY ALGEBRAIC NUMBER THEORY
File Format PDF/Adobe Acrobat
http://bilder.buecher.de/zusatz/20/20986/20986028_lese_1.pdf

106. Algebraic Number Theory
Algebraic Number Theory This is a corrected printing of the second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number
http://www.springer.com/mathematics/numbers/book/978-0-387-94225-4
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107. Magma Computational Algebra System Home Page
A Computational Algebra system for algebra, number theory and geometry.
http://magma.maths.usyd.edu.au/
MAGMA Computational Algebra System
Home Download Help FAQ ... About Magma How to get Magma Download Online Demo Resources Online Help Discovering Mathematics with Magma Citations How to cite Magma ... Contact us Magma is a large, well-supported software package designed to solve computationally hard problems in algebra, number theory, geometry and combinatorics. It provides a mathematically rigorous environment for computing with algebraic, number-theoretic, combinatoric, and geometric objects. Latest version: (released October 6, 2010) is now available. See here for a summary of the new features in V2.16. Recent Notices: March 18, 2010: Magma V2.16-6 has been released for Windows. November 12, 2009: Magma V2.16-1 has been released for 64-bit Intel/AMD Linux platforms. November 8, 2009: The list of publications that cite Magma has been greatly expanded, now totalling around 2600 items. The updated list may be found here December 19, 2008: The 2008 edition of Magma (Version 2.15) was released in early December and is now available for most supported platforms. It contains many new capabilities as well as major upgrades of algorithms and code for several core areas. See LINK for a summary of the new features.

108. QUANTUM ALGORITHMS IN ALGEBRAIC NUMBER THEORY 1. Introduction Two
File Format PDF/Adobe Acrobat Quick View
http://www.albanyconsort.com/simon/quantumnt.pdf

109. Mastermath
Credits 8 credit points Instructors Lenstra, H.W. (Universiteit Leiden), Stevenhagen, P. (Universiteit Leiden) Email HWL@MATH.leidenuniv.nl, psh@math.leidenuniv.nl
http://www.mastermath.nl/program/00007/00007/
About Mastermath Links Locations Contact ... Spring 2011
Algebraic Number Theory
Credits 8 credit points Instructors Lenstra, H.W. (Universiteit Leiden), Stevenhagen, P. (Universiteit Leiden) E-mail HWL@MATH.leidenuniv.nl psh@math.leidenuniv.nl Aim The course provides a thorough introduction to algebraic number theory. It treats the basic laws of arithmetic that are valid in subrings of algebraic number fields. Description Introduction to algebraic numbers and number rings. Ideal factorization, finiteness results on class groups and units, explicit computation of these invariants. Possible special topics: binary quadratic forms, the number field sieve, valuations and completions, local fields, introduction
to class field theory and reciprocity laws, density theorems.
http://websites.math.leidenuniv.nl/ant2008/
Organization The class is taught every Tuesday morning at the Vrije Universiteit in Amsterdam: two hours (10.15-12.00) of lectures and one hour (12.15-13.00)
devoted to exercises.
Examination The final grade is exclusively based on the results obtained for the weekly homework assignments. Literature
http://websites.math.leidenuniv.nl/algebra/

110. MathTools V2.4.2
Mathematical routines by Bhuvanesh Bhatt for the TI-89/92+/V200 in Algebra, Number Theory, Statistics and applications.
http://www.technicalc.org/packages/mathtools/main.htm
MathTools
Math routines for the TI-89/92+/V200
Linear Algebra, Polynomials, Calculus, Statistics, Special Functions, Vector Analysis, and more Version: 2.4.2 Author: Bhuvanesh Bhatt ( bbhatt1@towson.edu
Introduction
A Computer Algebra System (CAS) is a kind of mathematical software that enables you to use a computer to manipulate mathematical expressions. A CAS has symbolics, numerics, graphics, programming, and typesetting capabilities, and usually also data import/export. CAS’s are used in many fields such as mathematics, physics, chemistry, engineering, computer science, computational biology, economics, and education. The TI-68k devices (TI-89, TI-92 Plus, and Voyage 200) are great tools, especially for education. They are the most advanced calculators available today. Once you have learned a topic such as vector analysis, you can use the TI-68k CAS to automate some or all of your work, so that you can concentrate on more advanced and/or abstract topics without worrying about calculational errors. The TI-68k are also invaluable when learning a topic, since they allow you to explore the topic in a variety of ways. One problem with the TI-68k is that a lot of commonly used functions are not built-in. MathTools aims to bridge that gap, mainly in the area of mathematics. Since math is used in all of science, MathTools can be used in those fields as well. Besides education, MathTools can also be used in industry and research. One of my goals in maintaining MathTools and its extensive documentation is to introduce people to the beauty of mathematics. MathTools has helped me gain a deeper understanding of computer algebra, and has also introduced me to many new areas in math, far better than from any amount of reading. MathTools mainly consists of TI-Basic functions, but there are also TI-Basic programs, utilities written in C, and a Flash application.

111. Algebraic Number Theory And Related Topics 2010
Sep 20, 2010 Algebraic Number Theory and Related Topics 2010. Program Committee Masanari Kida (University of ElectroCommunications )
http://mathweb.e-one.uec.ac.jp/rims2010-e.html
RIMS Workshop
Algebraic Number Theory and Related Topics 2010
Program Committee
Masanari Kida (University of Electro-Communications )
Noriyuki Suwa (Chuo University)
Shinichi Kobayashi (Tohoku University) Japanese Page
Date
December 6 (Mon), 2010 December 10 (Fri), 2010
Place
Room 420, Research Institute for Mathematical Sciences, Kyoto University
Program
December 6 (Mon)
Introduction Anna Cadoret (Univ. Bordeaux 1) Representation over finite fields of etale fundamental groups of curves. (joint work with Akio Tamagawa) Kazuaki Miyatani (University of Tokyo) Finiteness of crystalline cohomology of higher level Manabu Yoshida (Kyushu University) Takashi Suzuki (The University of Chicago) Fontaine's property (Pm) at the maximal ramification break Shin Hattori (Kyushu University) Ramification correspondence of finite flat group schemes of equal and mixed characteristic Ahmed Abbes (CNRS) Ramification and cleanliness Takeshi Saito (University of Tokyo) l-adic Riemann-Roch formula
December 7 (Tue)
Takashi Hara
(University of Tokyo) On Iwasawa main conjecture of totally real fields Tatsuya Ohshita (Kyoto University) On the higher Fitting ideals of Iwasawa modules of class groups over real abelian fields Yoshitaka Sasaki (Kinki University) Poly-Euler numbers and the related L-function Byoung Du Kim (Victoria University of Wellington) Two-variable p-adic L-functions for modular forms at non-ordinary primes Florian Sprung (Brown University) The p-parts of Tate-Shafarevich groups of elliptic curves

112. Topics In Computational Algebraic Number Theory
File Format PDF/Adobe Acrobat Quick View
http://www.emis.de/journals/JTNB/2004-1/Belabas.pdf

113. Nico Benschop Homepage, Nico Benschop Homepg: Associative Theory Of Digital Circ
A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics.
http://home.claranet.nl/users/benschop/

114. Dirichlet Summary
Proved that in any arithmetic progression with first term coprime to the difference there are infinitely many primes, units in algebraic number theory, ideals, proposed the modern definition of a function.
http://turnbull.dcs.st-and.ac.uk/~history/Mathematicians/Dirichlet.html
Johann Peter Gustav Lejeune Dirichlet
Click the picture above
to see five larger pictures Dirichlet proved in 1837 that in any arithmetic progression with first term coprime to the difference there are infinitely many primes. Full MacTutor biography [Version for printing] List of References (16 books/articles) Mathematicians born in the same country Show birthplace location Additional Material in MacTutor
  • A comment from Thomas Hirst's diary Honours awarded to Lejeune Dirichlet
    (Click below for those honoured in this way) Fellow of the Royal Society Lunar features Crater Dirichlet Other Web sites
  • Encyclopaedia Britannica
  • Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © May 2000 The URL of this page is:
    http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Dirichlet.html
  • 115. CAH IT ARF S CONTRIBUTION TO ALGEBRAIC NUMBER THEORY AND RELATED
    File Format PDF/Adobe Acrobat Quick View
    http://journals.tubitak.gov.tr/math/issues/mat-98-22-1/mat-22-1-1-98034.pdf

    116. Pell Summary
    Worked on algebra and number theory, gave a table of factors of all integers up to 100000 in 1668. Pell s equation is y^2 = ax^2 + 1, where a is a non-square integer.
    http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pell.html

    117. PDF - ALGORITHMS IN ALGEBRAIC NUMBER THEORY
    Your browser may not have a PDF reader available. Google recommends visiting our text version of this document.
    http://www.ams.org/bull/1992-26-02/S0273-0979-1992-00284-7/S0273-0979-1992-00284

    118. Mathematics Site --- J.S. Milne
    Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic Geometry, Algebraic Number Theory,Modular Functions and Modular Forms, Elliptic Curves, Abelian Varieties, Etale Cohomology, and Class Field Theory.
    http://www.jmilne.org/math/
    Mathematics Site - J.S. Milne (since 1996)
    Contents
    Addenda/Errata
    Articles

    listing
    abstracts
    Books

    Course Notes

    Group Theory
    Fields and Galois Theory ...
    Documents

    Documents by other mathematicians.
    Apocrypha.

    Personal stuff: cv, photo, etc.
    Tips for authors. Misused words. ... Home Do not work within two hours of a substantial meal; blood cannot be in two places at once. J.E. Littlewood, in Littlewood's miscellany, p199.
    What's New in Articles
    • Nov 11, 2009. New version of Points on Shimura varieties over finite fields: the conjecture of Langlands and Rapoport
    What's New in Course Notes
    What's New in Expository Notes
    What's New in Documents
    • January 23, 2010.

    119. Algebraic Number Theory Lecture Notes
    File Format PDF/Adobe Acrobat Quick View
    http://math.rice.edu/~hassett/teaching/465spring03/antlec1.pdf

    120. Michael Larsen
    Indiana University. Algebraic number theory; algebraic geometry; group theory (finite, finitely generated, compact, or algebraic); homological algebra; algebraic combinatorics; applied algebra. Teaching notes, Putnam competition information.
    http://mlarsen.math.indiana.edu/~larsen/
    Michael Larsen
    I am a Professor in the Math Department at Indiana University
    Contact
    Department of Mathematics
    Indiana University
    Bloomington, IN
    USA Phone:
    FAX:
    Office:
    E-mail:
    Office Hours:
    Rawles Hall 343
    WF9:30-10:30, and by appointment. Here is my schedule for Fall 2010.
    Research
    I am interested in various aspects of algebra, especially:
    Here are my papers and preprints . Here they are organized by MSC classification and by coauthor , courtesy of the AMS. Although I prefer chalk, recently I have given a few talks with slides
    Teaching
    • Math
    • Math
    • Some course information from past years is available here
    • The following is intended as a roadmap for graduate courses which the algebra group expect to offer regularly in the future.
    • The Bloomington Math Circle meets at a time to be determined.
    Advising
    My advisor was Gerd Faltings . He is descended in five steps from Felix Klein , in eight steps from Gauss , and in ten steps from Euler . (My thanks to The Mathematics Genealogy Project for the historical information.)

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