Algebra

Up-to-the minute research on important stochastic processes.

This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application.

Linear algebra is growing in importance.

Abelian Groups deals with the theory of abelian or commutative groups, with special emphasis on results concerning structure problems.

This book explores the classical and beautiful character theory of finite groups.

Glider Representations offer several applications across different fields within Mathematics, thereby motivating the introduction of this new glider theory and opening numerous doors for future research, particularly with respect to more complex filtration chains.

This book examines some aspects of homogeneous Banach algebras and related topics to illustrate various methods used in several classes of group algebras.

Das Standardwerk für die Ingenieurwissenschaften jetzt in der 5.

Introduction to Linear Algebra: Computation, Application, and Theory is designed for students who have never been exposed to the topics in a linear algebra course.

The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry.

The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book.

This book is dedicated to the work of Alasdair Urquhart.

This book provides a unified approach to much of the theories of equivalence and duality between categories of modules.

Investigating the correspondence between systems of partial differential equations and their analytic solutions using a formal approach, this monograph presents algorithms to determine the set of analytic solutions of such a system and conversely to find differential equations whose set of solutions coincides with a given parametrized set of analytic functions.

This research monograph develops the theory of relative nonhomogeneous Koszul duality.

Continued Fractions consists of two volumes - Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011.

Three major branches of number theory are included in the volume: namely analytic number theory, algebraic number theory, and transcendental number theory.

An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

1,001 Algebra I Practice Problems For Dummies Practice makes perfect and helps deepen your understanding of algebra by solving problems 1,001 Algebra I Practice Problems For Dummies, with free access to online practice problems, takes you beyond the instruction and guidance offered in Algebra I For Dummies, giving you 1,001 opportunities to practice solving problems from the major topics in algebra.

This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers.

This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants.

A no-nonsense, practical guide to help you improve your algebra II skills with solid instruction and plenty of practice, practice, practice Practice Makes Perfect: Algebra II presents thorough coverage of skills, such as handling decimals and fractions, functions, and linear and quadratic equations, as well as an introducing you to probability and trigonometry.

Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi.

This book, an outgrowth of the author's distinguished lecture series in Japan in 1995, identifies and describes current results and issues in certain areas of computational fluid dynamics, mathematical physics, and linear algebra.

Eight articles provide a valuable survey of the present state of knowledge in combinatorics.

The book covers several new research findings in the area of generalized convexity and integral inequalities.

The mathematical theory of Krylov subspace methods with a focus on solving systems of linear algebraic equations is given a detailed treatment in this principles-based book.

The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts.

A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections.

This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The preface to a textbook frequently contains the author's justification for offering the public "e;another book"e; on the given subject.

This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992.

This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences.

Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg Oslo, Norway, July 14-21, 1987 is a collection of papers presented at the 1987 Selberg Symposium, held at the University of Oslo.

This book describes the efficient implementation of public-key cryptography (PKC) to address the security challenges of massive amounts of information generated by the vast network of connected devices, ranging from tiny Radio Frequency Identification (RFID) tags to powerful desktop computers.

The m-adic topologies and, in particular the notions of m-complete ring and m-completion A of a commutative ring A, occur frequently in commutative algebra and are also a useful tool in algebraic geometry.

Homological Mirror Symmetry, the study of dualities of certain quantum field theories in a mathematically rigorous form, has developed into a flourishing subject on its own over the past years.

This book introduces first order stability theory, organized around the spectrum problem, with complete proofs of the Vaught conjecture for ω-stable theories.

This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory.

This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.

This volume is a collection of lectures and selected papers by Giorgio Parisi on the subjects of Field Theory (perturbative expansions, nonperturbative phenomena and phase transitions), Disordered Systems (mainly spin glasses) and Computer Simulations (lattice gauge theories).

Systems and tools of computer algebra (Like AXIOM, Derive, FORM, Mathematica, Maple, Mupad, REDUCE, Macsyma.