Algebra

A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about.

The translator of a mathematical work faces a task that is at once fascinating and frustrating.

These are the revised notes of a course for graduate students and some seminar talks which I gave at the University of Rochester during Fall Term 1969/70.

The axioms of a complex Banach algebra were very happily chosen.

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

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

The theory of rings of quotients has its origin in the work of (j).

As far back as the 1920's, algebra had been accepted as the science studying the properties of sets on which there is defined a particular system of operations.

Categorical methods of speaking and thinking are becoming more and more widespread in mathematics because they achieve a unifi- cation of parts of different mathematical fields; frequently they bring simplifications and provide the impetus for new developments.

From the reviews: "e;Serre's notes on groups acting on trees have appeared in various forms (all in French) over the past ten years and they have had a profound influence on the development of many areas, for example, the theory of ends of discrete groups.

Originally, my intention was to write a "e;History of Algebra"e;, in two or three volumes.

Since the early seventies concepts of specification have become central in the whole area of computer science.

This volume is an English translation of "e;Cohomologie Galoisienne"e; .

This book presents a complete and accurate study of algebraic circuits, digital circuits whose performance can be associated with any algebraic structure.

Let us first state exactly what this book is and what it is not.

Die Darstellungstheorie der Gruppen ist eines der reizvollsten Beispiele für die Wechselwirkung zwischen Physik und reiner Mathe­ matik.

Algebraic geometry has always been an ec1ectic science, with its roots in algebra, function-theory and topology.

This monograph is concerned with mathematical aspects of compartmental an- alysis.

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

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The representation theory of locally compact groups has been vig- orously developed in the past twenty-five years or so; of the various branches of this theory, one of the most attractive (and formidable) is the representation theory of semi-simple Lie groups which, to a great extent, is the creation of a single man: Harish-Chandra.

"e;Field Theory Concepts"e; is a new approach to the teachingand understanding of field theory.

This research monograph focuses on a biomolecular separation process that occurs within most cells.

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

These notes are in part based on a course for advanced students in the applications of stochastic processes held in 1978 at the University of Konstanz.

Voss' book which deals with theoretical problems of digital image processing is an indispensable source of information for all those who are involved in the design, implementation, and application of mathematically sound algorithms in image processing; it is written for engineers, mathematicians, and computer scientists.

Of central importance in this book is the concept of modularity in lattices.

These Proceedings contain articles based on the lectures and in- formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun- dation (Contract No.

The papers in this volume are based on talks given at a one day conference held on the campus of Adelphi University in April 1982.

Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics.

This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory.

Assuming only basic algebra and Galois theory, the book develops the method of "e;algebraic patching"e; to realize finite groups and, more generally, to solve finite split embedding problems over fields.

Cellular automata were introduced in the first half of the last century by John von Neumann who used them as theoretical models for self-reproducing machines.

This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity.

This treatment of differential geometry and the mathematics required for general relativity makes the subject of this book accessible for the first time to anyone familiar with elementary calculus in one variable and with a knowledge of some vector algebra.

This textbook offers a thorough, modern introduction into commutative algebra.

The discipline of formal concept analysis (FCA) is concerned with the form- ization of concepts and conceptual thinking.

For many years, algebraic topology rests on three legs: "e;ordinary"e; cohomology, K-theory, and cobordism.

One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram.

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Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory.

Algebraic curves and surfaces are an old topic of geometric and algebraic investigation.