Algebra Books

In essence, this text is written as a challenge to others, to discover significant uses for Cayley number algebra in physics. I freely admit that though the reading of some sections would benefit from previous experience of...

A module M is called distributive if the lattice Lat(M) of all its submodules is distributive, i.e., Fn(G + H) = FnG + FnH for all submodules F,G, and H of the module M. A module M is called uniserial if all its submodules are...

The main part of the book is based on a one semester graduate course for students in mathematics. I have attempted to develop the theory of hyperbolic systems of differen­ tial equations in a systematic way, making as much use...

One of the characteristics of modern algebra is the development of new tools and concepts for exploring classes of algebraic systems, whereas the research on individual algebraic systems (e. g. , groups, rings, Lie algebras,...

book and to the publisher NOORDHOFF who made possible the appearance of the second edition and enabled the author to introduce the above-mentioned modifi­ cations and additions. Moscow M. A. NAIMARK August 1963 FOREWORD TO THE...

This book develops a whole strategy for decision-making, with the full participation of the decision-maker and utilizing continuous feedback. It introduces the use of the very well-known and proven methodology, linear ...

Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical...

Nilpotent Ue algebras have played an Important role over the last ye!US : either In the domain at Algebra when one considers Its role In the classlftcation problems of Ue algebras, or In the domain of geometry since one knows...

This book is an extensively revised version of my textbook "¥esodot HaAlgebra HaLiniarit" (The Foundations of Linear Algebra) used at many universities in Israel. It is designed for a comprehensive one-year course in linear...

Mathematical summary for Digital Signal Processing Applications with Matlab consists of Mathematics which is not usually dealt in the DSP core subject, but used in DSP applications. Matlab programs with illustrations are given for the selective topics...

Under the title of Function Algebras we may now include a very large number of works. published mainly in the last decade, which consti­ tute one of the important chapters of functional analysis. This chapter has grown up from...

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton...

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton...

The present book was conceived as an introduction for the user of universal algebra, rather than a handbook for the specialist, but when the first edition appeared in 1965, there were practically no other books entir~ly devoted...

This book consists of eighteen articles in the area of `Combinatorial Matrix Theory' and `Generalized Inverses of Matrices'. Original research and expository articles presented in this publication are written by leading...

This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific...

This book is an introduction to singularities for graduate students and researchers.It is said that algebraic geometry originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité...

This book introduces the application of computational homology for structural analysis of metallic glasses. Metallic glasses, relatively new materials in the field of metals, are the next-generation structural and functional materials owing to their...

Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive integers...

Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some...

Seki was a Japanese mathematician in the seventeenth century known for his outstanding achievements, including the elimination theory of systems of algebraic equations, which preceded the works of Étienne Bézout and Leonhard Euler by 80 years. Seki was a...

1. Residue Currents in one Dimension. Different Approaches.- 1. Residue attached to a holomorphic function.- 2. Some other approaches to the residue current.- 3. Some variants of the classical Pompeiu formula.- 4. Some applications of Pompeiu's formulas...

These notes form an extended version of talks given at the DMV-seminar in Giinzburg, September 1990. The seminar consisted of two parts: 1) "The isomorphism problem for integral group rings", with the main talks given by K. W...

From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di­ mensional Algebras". The proposal for this project was submitted by B...

Dieses handliche Lehrbuch stellt akzentuiert diejenigen Inhalte aus Analysis und Linearer Algebra sowie grundlegende mathematische Fähigkeiten und Fertigkeiten dar, die für ein Studium der Mathematik bereits in den ersten beiden Semestern unverzichtbar...

Sie studieren ein technisches Fach und müssen sich mit Ingenieurmathematik auseinandersetzen? Sie wollen Mathematik nicht nur anwenden können, sondern auch die Zusammenhänge verstehen? Das vorliegende Lehrbuch wird Ihnen dabei helfen. Es spannt einen...

This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric...

Dieses kompakte Lehrbuch stellt zentrale Definitionen, Eigenschaften und elementare Rechenmethoden rund um Vektoren, Matrizen und lineare Abbildungen zwischen reellen Vektorräumen verständlich dar - kurz: Es zeigt, was Matrizen eigentlich sind, wie man...

Allgemeine Formeln und Logik.- Komplexe Zahlen.- Folgen.- Reihen.- Funktionen in einer Variablen.- Differentialrechnung in einer Variablen.- Integralrechnung in einer Variablen.- Gewöhnliche Differentialgleichungen.- Lineare Algebra.- Funktionen in zwei...

(Autor)Hans J. Vollrath / Hans - Georg Weigand(Titel)Algebra in der Sekundarstufe(HL)Jetzt mit über 120 neuen Aufgaben(copy)Dieses Buch behandelt ausführlich die klassischen Themenstränge, die den Algebraunterricht durchziehen:- Zahlen - Terme -...

Dieses Buch richtet sich an Studierende verschiedener Fachrichtungen, die das Softwarepaket Octave als kostenfreien und praktischen Lernassistenten nutzen möchten. Es stellt dar, wie sich Octave zur Lösung mathematischer Probleme aus technischen und...

This is the first textbook on attribute exploration, its theory, its algorithms forapplications, and some of its many possible generalizations. Attribute explorationis useful for acquiring structured knowledge through an interactive process, byasking...

This volume presents five surveys with extensivebibliographies and six original contributions on set optimization and its applicationsin mathematical finance and game theory. The topics range from moreconventional approaches that look for minimal/maximal...

This book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications. In particular, the related systematic theories are...

This book is an elaboration of ideas of Irving Kaplansky introduced in his book Rings of operators ([52], [54]). The subject of Baer *-rings has its roots in von Neumann's theory of 'rings of operators' (now called von Neumann...

Here, the eminent algebraist, Nathan Jacobsen, concentrates on those algebras that have an involution. Although they appear in many contexts, these algebras first arose in the study of the so-called "multiplication algebras of...