Solving Systems of Polynomial Equations

Solving Systems of Polynomial Equations
Author: Bernd Sturmfels
Publisher: American Mathematical Soc.
Total Pages: 162
Release: 2002
Genre: Mathematics
ISBN: 0821832514

Bridging a number of mathematical disciplines, and exposing many facets of systems of polynomial equations, Bernd Sturmfels's study covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.

Topics in Algebraic Geometry and Geometric Modeling

Topics in Algebraic Geometry and Geometric Modeling
Author: Ron Goldman
Publisher: American Mathematical Soc.
Total Pages: 378
Release: 2003
Genre: Mathematics
ISBN: 0821834207

Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise polynomial, and rational curves and surfaces to build computer models of mechanical components and assemblies for industrial design and manufacture. The NSF sponsored the four-day ''Vilnius Workshop on Algebraic Geometry and Geometric Modeling'', which brought together some of the top experts in the two research communities to examine a wide range of topics of interest to both fields. This volume is an outgrowth of that workshop. Included are surveys, tutorials, and research papers. In addition, the editors have included a translation of Minding's 1841 paper, ''On the determination of the degree of an equations obtained by elimination'', which foreshadows the modern application of mixed volumes in algebraic geometry. The volume is suitable for mathematicians, computer scientists, and engineers interested in applications of algebraic geometry to geometric modeling.

Algorithmic Game Theory

Algorithmic Game Theory
Author: Panagiotis Kanellopoulos
Publisher: Springer Nature
Total Pages: 596
Release: 2022-09-13
Genre: Computers
ISBN: 3031157141

This book constitutes the proceedings of the 15th International Symposium on Algorithmic Game Theory, SAGT 2022, which took place in Colchester, UK, in September 2022. The 31 full papers included in this book were carefully reviewed and selected from 83 submissions. They were organized in topical sections as follows: Auctions, markets and mechanism design; computational aspects in games; congestion and network creation games; data sharing and learning; social choice and stable matchings.

The Importance of Being Understood

The Importance of Being Understood
Author: Adam Morton
Publisher: Routledge
Total Pages: 236
Release: 2005-06-29
Genre: Philosophy
ISBN: 1134484305

The Importance of Being Understood is an innovative and thought-provoking exploration of the links between the way we think about each other's mental states and the fundamentally cooperative nature of everyday life. Adam Morton begins with a consideration of 'folk psychology', the tendency to attribute emotions, desires, beliefs and thoughts to human minds. He takes the view that it is precisely this tendency that enables us to understand, predict and explain the actions of others, which in turn helps us to decide on our own course of action. This relection suggests, claims Morton, that certain types of cooperative activity are dependent on everyday psychological understanding conversely, that we act in such a way as to make our actions easily intelligible to others so that we can benefit from being understood. This idea of 'beneficial circularities' is at the core of Morton's investigation of the interdependencies between folk psychology and social behaviour: we understand each other because we have learned to make ourselves intelligible. Using examples of cooperative activities such as car driving and playing tennis, Adam Morton analyses the concepts of belief and simulation, the idea of explanation by motive, and the causal force of psychological explanation. In addition to argument and analysis, Morton also includes more speculative explorations of topics such as moral progress and presents a new point of view on how and why cultures differ. The Importance of Being Understood forges new links between ethics and the philosophy of mind and will be of interest to anyone in either field, as well as developmental psychologists.

Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry

Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry
Author: Jan Denef
Publisher: American Mathematical Soc.
Total Pages: 384
Release: 2000
Genre: Mathematics
ISBN: 0821826220

This book is the result of a meeting that took place at the University of Ghent (Belgium) on the relations between Hilbert's tenth problem, arithmetic, and algebraic geometry. Included are written articles detailing the lectures that were given as well as contributed papers on current topics of interest. The following areas are addressed: an historical overview of Hilbert's tenth problem, Hilbert's tenth problem for various rings and fields, model theory and local-global principles, including relations between model theory and algebraic groups and analytic geometry, conjectures in arithmetic geometry and the structure of diophantine sets, for example with Mazur's conjecture, Lang's conjecture, and Bücchi's problem, and results on the complexity of diophantine geometry, highlighting the relation to the theory of computation. The volume allows the reader to learn and compare different approaches (arithmetical, geometrical, topological, model-theoretical, and computational) to the general structural analysis of the set of solutions of polynomial equations. It would make a nice contribution to graduate and advanced graduate courses on logic, algebraic geometry, and number theory

American Political Scientists

American Political Scientists
Author: Glenn H. Utter
Publisher: Bloomsbury Publishing USA
Total Pages: 537
Release: 2002-10-30
Genre: Political Science
ISBN: 0313015767

This dictionary offers the only comprehensive collection of profiles of American political scientists, each of whom contributed significantly to the intellectual development of American political science from its beginnings in the late-19th century to the present. This second edition includes 22 new and 110 revised entries, reflecting new scholarship that emerged during the 1990s. Numerous experts helped the editors develop this consensus group of the 193 political scientists who have made the most important theoretical contributions over the years, with attention to varied approaches and the different subfields. Alphabetically arranged entries focus on the main ideas and major works by each scholar, listing list the most important publications by and about the individual. There are numerous cross-references to show how the work of one scholar has influenced another in the discipline. Appendices list the political scientists by degree-granting institutions and by major fields. A short bibliography points to important general readings about the profession. A general index makes this major reference easily accessible for broad interdisciplinary research.