Algorithmic And Experimental Methods In Algebra Geometry And Number Theory

Algorithmic And Experimental Methods In Algebra Geometry And Number Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Algorithmic And Experimental Methods In Algebra Geometry And Number Theory book. This book definitely worth reading, it is an incredibly well-written.

Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

Gebhard Böckle,Wolfram Decker,Gunter Malle
Algorithmic and Experimental Methods in Algebra Geometry and Number Theory Book PDF

Author : Gebhard Böckle,Wolfram Decker,Gunter Malle
Publisher : Springer
Page : 753 pages
File Size : 51,5 Mb
Release : 2018-03-22
Category : Mathematics
ISBN : 9783319705668

Get Book

Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory by Gebhard Böckle,Wolfram Decker,Gunter Malle Pdf

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.

Algorithmic Algebra and Number Theory

B.Heinrich Matzat,Gert-Martin Greuel,Gerhard Hiss
Algorithmic Algebra and Number Theory Book PDF

Author : B.Heinrich Matzat,Gert-Martin Greuel,Gerhard Hiss
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642599323

Get Book

Algorithmic Algebra and Number Theory by B.Heinrich Matzat,Gert-Martin Greuel,Gerhard Hiss Pdf

This book contains 22 lectures presented at the final conference of the Ger man research program (Schwerpunktprogramm) Algorithmic Number The ory and Algebra 1991-1997, sponsored by the Deutsche Forschungsgemein schaft. The purpose of this research program and of the meeting was to bring together developers of computer algebra software and researchers using com putational methods to gain insight into experimental problems and theoret ical questions in algebra and number theory. The book gives an overview on algorithmic methods and on results ob tained during this period. This includes survey articles on the main research projects within the program: • algorithmic number theory emphasizing class field theory, constructive Galois theory, computational aspects of modular forms and of Drinfeld modules • computational algebraic geometry including real quantifier elimination and real algebraic geometry, and invariant theory of finite groups • computational aspects of presentations and representations of groups, especially finite groups of Lie type and their Heeke algebras, and of the isomorphism problem in group theory. Some of the articles illustrate the current state of computer algebra sys tems and program packages developed with support by the research pro gram, such as KANT and LiDIA for algebraic number theory, SINGULAR, RED LOG and INVAR for commutative algebra and invariant theory respec tively, and GAP, SYSYPHOS and CHEVIE for group theory and representation theory.

Algorithmic Algebraic Number Theory

M. Pohst,H. Zassenhaus
Algorithmic Algebraic Number Theory Book PDF

Author : M. Pohst,H. Zassenhaus
Publisher : Cambridge University Press
Page : 520 pages
File Size : 43,8 Mb
Release : 1997-09-25
Category : Mathematics
ISBN : 0521596696

Get Book

Algorithmic Algebraic Number Theory by M. Pohst,H. Zassenhaus Pdf

Now in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. For experimental number theoreticians new methods are developed and new results are obtained which are of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.

Algorithmic Number Theory

Guillaume Hanrot,Francois Morain,Emmanuel Thomé
Algorithmic Number Theory Book PDF

Author : Guillaume Hanrot,Francois Morain,Emmanuel Thomé
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 49,5 Mb
Release : 2010-07-07
Category : Computers
ISBN : 9783642145179

Get Book

Algorithmic Number Theory by Guillaume Hanrot,Francois Morain,Emmanuel Thomé Pdf

This book constitutes the refereed proceedings of the 9th International Algorithmic Number Theory Symposium, ANTS 2010, held in Nancy, France, in July 2010. The 25 revised full papers presented together with 5 invited papers were carefully reviewed and selected for inclusion in the book. The papers are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.

Effective Methods in Algebraic Geometry

T. Mora,C. Traverso
Effective Methods in Algebraic Geometry Book PDF

Author : T. Mora,C. Traverso
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461204411

Get Book

Effective Methods in Algebraic Geometry by T. Mora,C. Traverso Pdf

The symposium "MEGA-90 - Effective Methods in Algebraic Geome try" was held in Castiglioncello (Livorno, Italy) in April 17-211990. The themes - we quote from the "Call for papers" - were the fol lowing: - Effective methods and complexity issues in commutative algebra, pro jective geometry, real geometry, algebraic number theory - Algebraic geometric methods in algebraic computing Contributions in related fields (computational aspects of group theory, differential algebra and geometry, algebraic and differential topology, etc.) were also welcome. The origin and the motivation of such a meeting, that is supposed to be the first of a series, deserves to be explained. The subject - the theory and the practice of computation in alge braic geometry and related domains from the mathematical viewpoin- has been one of the themes of the symposia organized by SIGSAM (the Special Interest Group for Symbolic and Algebraic Manipulation of the Association for Computing Machinery), SAME (Symbolic and Algebraic Manipulation in Europe), and AAECC (the semantics of the name is vary ing; an average meaning is "Applied Algebra and Error Correcting Codes").

Real Algebraic Geometry and Optimization

Thorsten Theobald
Real Algebraic Geometry and Optimization Book PDF

Author : Thorsten Theobald
Publisher : American Mathematical Society
Page : 312 pages
File Size : 50,8 Mb
Release : 2024-04-18
Category : Mathematics
ISBN : 9781470476366

Get Book

Real Algebraic Geometry and Optimization by Thorsten Theobald Pdf

This book provides a comprehensive and user-friendly exploration of the tremendous recent developments that reveal the connections between real algebraic geometry and optimization, two subjects that were usually taught separately until the beginning of the 21st century. Real algebraic geometry studies the solutions of polynomial equations and polynomial inequalities over the real numbers. Real algebraic problems arise in many applications, including science and engineering, computer vision, robotics, and game theory. Optimization is concerned with minimizing or maximizing a given objective function over a feasible set. Presenting key ideas from classical and modern concepts in real algebraic geometry, this book develops related convex optimization techniques for polynomial optimization. The connection to optimization invites a computational view on real algebraic geometry and opens doors to applications. Intended as an introduction for students of mathematics or related fields at an advanced undergraduate or graduate level, this book serves as a valuable resource for researchers and practitioners. Each chapter is complemented by a collection of beneficial exercises, notes on references, and further reading. As a prerequisite, only some undergraduate algebra is required.

Geometric Methods in Algebra and Number Theory

Fedor Bogomolov,Yuri Tschinkel
Geometric Methods in Algebra and Number Theory Book PDF

Author : Fedor Bogomolov,Yuri Tschinkel
Publisher : Springer Science & Business Media
Page : 365 pages
File Size : 52,5 Mb
Release : 2006-06-22
Category : Mathematics
ISBN : 9780817644178

Get Book

Geometric Methods in Algebra and Number Theory by Fedor Bogomolov,Yuri Tschinkel Pdf

* Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry * Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry

$p$-Adic Methods in Number Theory and Algebraic Geometry

Alan Adolphson,Steven Sperber
p Adic Methods in Number Theory and Algebraic Geometry Book PDF

Author : Alan Adolphson,Steven Sperber
Publisher : American Mathematical Soc.
Page : 241 pages
File Size : 48,9 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821851456

Get Book

$p$-Adic Methods in Number Theory and Algebraic Geometry by Alan Adolphson,Steven Sperber Pdf

Two meetings of the AMS in the fall of 1989--one at the Stevens Institute of Technology and the other at Ball State University--included Special Sessions on the role of $p$-adic methods in number theory and algebraic geometry. This volume grew out of these Special Sessions. Drawn from a wide area of mathematics, the articles presented here provide an excellent sampling of the broad range of trends and applications in $p$-adic methods.

Zeta Functions in Algebra and Geometry

Antonio Campillo
Zeta Functions in Algebra and Geometry Book PDF

Author : Antonio Campillo
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 52,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869000

Get Book

Zeta Functions in Algebra and Geometry by Antonio Campillo Pdf

Contains the proceedings of the Second International Workshop on Zeta Functions in Algebra and Geometry held May 3-7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain. The conference focused on the following topics: arithmetic and geometric aspects of local, topological, and motivic zeta functions, Poincare series of valuations, zeta functions of groups, rings, and representations, prehomogeneous vector spaces and their zeta functions, and height zeta functions.

Combinatorial Methods

Vladimir Shpilrain,Alexander Mikhalev,Jie-tai Yu
Combinatorial Methods Book PDF

Author : Vladimir Shpilrain,Alexander Mikhalev,Jie-tai Yu
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 47,8 Mb
Release : 2012-11-12
Category : Mathematics
ISBN : 9780387217246

Get Book

Combinatorial Methods by Vladimir Shpilrain,Alexander Mikhalev,Jie-tai Yu Pdf

The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.

Mathematical Aspects of Computer and Information Sciences

Ilias S. Kotsireas,Siegfried M. Rump,Chee K. Yap
Mathematical Aspects of Computer and Information Sciences Book PDF

Author : Ilias S. Kotsireas,Siegfried M. Rump,Chee K. Yap
Publisher : Springer
Page : 628 pages
File Size : 48,8 Mb
Release : 2016-04-16
Category : Computers
ISBN : 9783319328591

Get Book

Mathematical Aspects of Computer and Information Sciences by Ilias S. Kotsireas,Siegfried M. Rump,Chee K. Yap Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015, held in Berlin, Germany, in November 2015. The 48 revised papers presented together with 7 invited papers were carefully reviewed and selected from numerous submissions. The papers are grouped in topical sections on curves and surfaces, applied algebraic geometry, cryptography, verified numerical computation, polynomial system solving, managing massive data, computational theory of differential and difference equations, data and knowledge exploration, algorithm engineering in geometric computing, real complexity: theory and practice, global optimization, and general session.

Computer Algebra in Scientific Computing

François Boulier,Matthew England,Timur M. Sadykov,Evgenii V. Vorozhtsov
Computer Algebra in Scientific Computing Book PDF

Author : François Boulier,Matthew England,Timur M. Sadykov,Evgenii V. Vorozhtsov
Publisher : Springer Nature
Page : 412 pages
File Size : 48,9 Mb
Release : 2022-08-10
Category : Computers
ISBN : 9783031147883

Get Book

Computer Algebra in Scientific Computing by François Boulier,Matthew England,Timur M. Sadykov,Evgenii V. Vorozhtsov Pdf

This book constitutes the proceedings of the 24th International Workshop on Computer Algebra in Scientific Computing, CASC 2022, which took place in Gebze, Turkey, in August 2022. The 20 full papers included in this book were carefully reviewed and selected from 32 submissions. They focus on the theory of symbolic computation and its implementation in computer algebra systems as well as all other areas of scientific computing with regard to their benefit from or use of computer algebra methods and software.

Women in Numbers Europe III

Alina Carmen Cojocaru,Sorina Ionica,Elisa Lorenzo García
Women in Numbers Europe III Book PDF

Author : Alina Carmen Cojocaru,Sorina Ionica,Elisa Lorenzo García
Publisher : Springer Nature
Page : 334 pages
File Size : 48,8 Mb
Release : 2022-02-01
Category : Mathematics
ISBN : 9783030777005

Get Book

Women in Numbers Europe III by Alina Carmen Cojocaru,Sorina Ionica,Elisa Lorenzo García Pdf

This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. Most of the articles are the results of collaborations started at the 3rd edition of the Women in Numbers Europe (WINE) conference between senior and mid-level faculty, junior faculty, postdocs, and graduate students. The contents of this book should be of interest to graduate students and researchers in number theory.

Using Algebraic Geometry

David A Cox,John Little,Donal O'Shea
Using Algebraic Geometry Book PDF

Author : David A Cox,John Little,Donal O'Shea
Publisher : Springer Science & Business Media
Page : 596 pages
File Size : 46,8 Mb
Release : 2005-03-17
Category : Mathematics
ISBN : 0387207333

Get Book

Using Algebraic Geometry by David A Cox,John Little,Donal O'Shea Pdf

The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic geometry and highlights recent applications of Grobner bases and resultants. This edition contains two new sections, a new chapter, updated references and many minor improvements throughout.

Essentials of Tropical Combinatorics

Michael Joswig
Essentials of Tropical Combinatorics Book PDF

Author : Michael Joswig
Publisher : American Mathematical Society
Page : 398 pages
File Size : 54,9 Mb
Release : 2021-12-08
Category : Mathematics
ISBN : 9781470467418

Get Book

Essentials of Tropical Combinatorics by Michael Joswig Pdf

The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. Building bridges between these two subject areas is fruitful in two ways. Through tropical geometry optimization algorithms become applicable to questions in algebraic geometry. Conversely, looking at topics in optimization through the tropical geometry lens adds an additional layer of structure. The author covers contemporary research topics that are relevant for applications such as phylogenetics, neural networks, combinatorial auctions, game theory, and computational complexity. This self-contained book grew out of several courses given at Technische Universität Berlin and elsewhere, and the main prerequisite for the reader is a basic knowledge in polytope theory. It contains a good number of exercises, many examples, beautiful figures, as well as explicit tools for computations using $texttt{polymake}$.