Algebra

Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems explores how Newton's equation for the motion of one particle in classical mechanics combined with finite difference methods allows creation of a mechanical scenario to solve basic problems in linear algebra and programming.

Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author's original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a single place.

This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science.

Lectures on Finitely Generated Solvable Groups are based on the "e;Topics in Group Theory"e; course focused on finitely generated solvable groups that was given by Gilbert G.

The ADI Model Problem presents the theoretical foundations of Alternating Direction Implicit (ADI) iteration for systems with both real and complex spectra and extends early work for real spectra into the complex plane with methods for computing optimum iteration parameters for both one and two variable problems.

This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra.

This book is about graph energy.

This textbook on linear algebra includes the key topics of the subject that most advanced undergraduates need to learn before entering graduate school.

Algebraic statistics is a rapidly developing field, where ideas from statistics and algebra meet and stimulate new research directions.

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The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory.

This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students.

This text consists of a sequence of problems which develop a variety of aspects in the field of semigroupsof operators.

A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods.

This volume collects some of the survey lectures delivered at the Micro- program on Noncommutative Rings held at MSRI, July 10-21, 1989.

This book is a revised version of the first edition and is intended as a Linear Algebra sequel and companion volume to the fourth edition of (Graduate Texts in Mathematics 23).

There is no one best way for an undergraduate student to learn elementary algebra.

During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas.

This IMA Volume in Mathematics and its Applications COMBINATORIAL AND GRAPH-THEORETICAL PROBLEMS IN LINEAR ALGEBRA is based on the proceedings of a workshop that was an integral part of the 1991-92 IMA program on "e;Applied Linear Algebra.

This IMA Volume in Mathematics and its Applications LINEAR ALGEBRA, MARKOV CHAINS, AND QUEUEING MODELS is based on the proceedings of a workshop which was an integral part of the 1991-92 IMA program on "e;Applied Linear Algebra"e;.

This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975.

The term "e;function algebra"e; usually refers to a uniformly closed algebra of complex valued continuous functions on a compact Hausdorff space.

The present book is a translation of E.

Never before in the history of mathematics has there been an individual theorem whose proof has required 10,000 journal pages of closely reasoned argument.

Linear chain substances span a large cross section of contemporary chemistry ranging from covalent polymers, to organic charge transfer com- plexes to nonstoichiometric transition metal coordination complexes.

The subjects of ordered groups and of infinite permutation groups have long en- joyed a symbiotic relationship.

This book developed from a course on finite fields I gave at the University of Illinois at Urbana-Champaign in the Spring semester of 1979.

This book is a translation of my book Suron Josetsu (An Introduction to Number Theory), Second Edition, published by Shokabo, Tokyo, in 1988.

Mathematical morphology (MM) is a powerful methodology for the quantitative analysis of geometrical structures.

From July 31 through August 3,1997, the Pennsylvania State University hosted the Topics in Number Theory Conference.

This volume contains refereed papers based on the lectures presented at the XIV International Conference on Mathematical Programming held at Matrahaza, Hungary, between 27-31 March 1999.

This volume is an outgrowth of the research project "e;The Inverse Ga- lois Problem and its Application to Number Theory"e; which was carried out in three academic years from 1999 to 2001 with the support of the Grant-in-Aid for Scientific Research (B) (1) No.

The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "e;Groups, Rings, Lie and Hopf Algebras"e;, which was held at the Memorial University of Newfoundland, St.

Computer algebra systems have the potential to revolutionize the teaching of and learning of science.

The aim of this book is twofold: (i) to give an exposition of the basic theory of finite-dimensional algebras at a levelthat isappropriate for senior undergraduate and first-year graduate students, and (ii) to provide the mathematical foundation needed to prepare the reader for the advanced study of anyone of several fields of mathematics.

From April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P.

This book is a unique introduction to the theory of linear operators on Hilbert space.

Category Theory has developed rapidly.

This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations.

"e;The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity.

The goal of these notes is to give a reasonahly com- plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe- cific problems, including stability calculations.

This book gives an introduction to C*-algebras and their representations on Hilbert spaces.

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Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents.

In the past decade, category theory has widened its scope and now inter- acts with many areas of mathematics.

The present volume completes the series of texts on algebra which the author began more than ten years ago.

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