Algebra

"e;Serre's Conjecture"e;, for the most part of the second half of the 20th century, - ferred to the famous statement made by J.

The fascinating theory of error-correcting codes is a rather new addition to the list of mathematical disciplines.

One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory.

Absolute values and their completions -like the p-adic number fields- play an important role in number theory.

Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theory of Lie groups, topology, dynamical systems, and many more, and with numerous applications in the natural and technical sciences.

This encyclopedic, detailed exposition spans all the steps of one-period allocation from the foundations to the most advanced developments.

The theory of groups and Lie algebras is interesting for many reasons.

The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations.

Symbolic Integration I is destined to become the standard reference work in the field.

Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures.

Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules and ideals.

This book provides a comprehensive overview of the development of fuzzy matrix theory from its inception to its current state.

Recent years have seen a significant rise of interest in max-linear theory and techniques.

Let FG be the group ring of a group G over a field F.

Graphs and Matrices provides a welcome addition to the rapidly expanding selection of literature in this field.

Polycyclic groups are built from cyclic groups in a specific way.

As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities.

A Course on Finite Groups introduces the fundamentals of group theory to advanced undergraduate and beginning graduate students.

"e;Robust Control for Uncertain Networked Control Systems with Random Delays"e; addresses the problem of analysis and design of networked control systems when the communication delays are varying in a random fashion.

A Mathematician Said Who Can Quote Me a Theorem that's True?

Thisbookisintendedasanintroductiontoallthe?

This book is based on notes for a master's course given at Queen Mary, University of London, in the 1998/9 session.

Eugene Charles Catalan made his famous conjecture - that 8 and 9 are the only two consecutive perfect powers of natural numbers - in 1844 in a letter to the editor of Crelle's mathematical journal.

A self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students.

Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right.

The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering.

The notion of an order plays an important role not only throughout mat- maticsbutalsoinadjacentdisciplinessuchaslogicandcomputerscience.

Fieldsaresetsinwhichallfouroftherationaloperations,memorablydescribed by the mathematician Lewis Carroll as "e;perdition, distraction, ugli?

This book is the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds.

This book provides an introduction to methods for practically solving mathematical problems, such as solving systems of linear equations, determining eigenvalues, approximating and integrating functions, solving nonlinear equations, and the approximate solution of ordinary differential equations.

A gentle introduction to some of the most useful mathematical concepts that should be in your developer toolbox.

This book provides an introduction to categorical Donaldson-Thomas (DT) theory, a rapidly developing field which has close links to enumerative geometry, birational geometry, geometric representation theory and classical moduli problems in algebraic geometry.

This book delves into the intricate world of interval programming, offering a comprehensive exploration of mathematical programming problems characterized by interval data.

This text combines a compact linear algebra course with a serious dip into various physical applications.

Algebraic Geometry is a fascinating branch of Mathematics that combines methods from both Algebra and Geometry.