An Introductory Algebra - Scholar's Choice Edition
Title | An Introductory Algebra - Scholar's Choice Edition PDF eBook |
Author | John Henry Walsh |
Publisher | |
Pages | 228 |
Release | 2015-02-17 |
Genre | |
ISBN | 9781298079787 |
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Introductory Algebra with P.O.W.E.R. Learning
Title | Introductory Algebra with P.O.W.E.R. Learning PDF eBook |
Author | Robert S Feldman |
Publisher | McGraw-Hill Education |
Pages | 768 |
Release | 2013-01-03 |
Genre | Mathematics |
ISBN | 9780073406268 |
An Introduction to Homological Algebra
Title | An Introduction to Homological Algebra PDF eBook |
Author | Charles A. Weibel |
Publisher | Cambridge University Press |
Pages | 470 |
Release | 1995-10-27 |
Genre | Mathematics |
ISBN | 113964307X |
The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.
Introductory Complex Analysis
Title | Introductory Complex Analysis PDF eBook |
Author | Richard A. Silverman |
Publisher | Courier Corporation |
Pages | 402 |
Release | 2013-04-15 |
Genre | Mathematics |
ISBN | 0486318524 |
Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.
An Introduction to C*-Algebras and the Classification Program
Title | An Introduction to C*-Algebras and the Classification Program PDF eBook |
Author | Karen R. Strung |
Publisher | Springer Nature |
Pages | 322 |
Release | 2020-12-15 |
Genre | Mathematics |
ISBN | 3030474658 |
This book is directed towards graduate students that wish to start from the basic theory of C*-algebras and advance to an overview of some of the most spectacular results concerning the structure of nuclear C*-algebras. The text is divided into three parts. First, elementary notions, classical theorems and constructions are developed. Then, essential examples in the theory, such as crossed products and the class of quasidiagonal C*-algebras, are examined, and finally, the Elliott invariant, the Cuntz semigroup, and the Jiang-Su algebra are defined. It is shown how these objects have played a fundamental role in understanding the fine structure of nuclear C*-algebras. To help understanding the theory, plenty of examples, treated in detail, are included. This volume will also be valuable to researchers in the area as a reference guide. It contains an extensive reference list to guide readers that wish to travel further.
A Classical Introduction to Modern Number Theory
Title | A Classical Introduction to Modern Number Theory PDF eBook |
Author | K. Ireland |
Publisher | Springer Science & Business Media |
Pages | 355 |
Release | 2013-03-09 |
Genre | Mathematics |
ISBN | 1475717792 |
This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time.
A Book of Abstract Algebra
Title | A Book of Abstract Algebra PDF eBook |
Author | Charles C Pinter |
Publisher | Courier Corporation |
Pages | 402 |
Release | 2010-01-14 |
Genre | Mathematics |
ISBN | 0486474178 |
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.