Introduction to Algebra


Author: Peter J. Cameron
Publisher: Oxford University Press on Demand
ISBN: 0198569130
Category: Mathematics
Page: 342
View: 2137

Continue Reading →

This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters,new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics.

An Introduction to Algebra

With Notes and Observations; Designed for the Use of Schools, and Other Places of Public Education
Author: John Bonnycastle
Publisher: N.A
ISBN: N.A
Category: Algebra
Page: 282
View: 3516

Continue Reading →

Introduction to Algebra

Designed for Use in Our Public Schools ... and for Preparatory Departments of Colleges
Author: Edward Olney
Publisher: N.A
ISBN: N.A
Category: Algebra
Page: 216
View: 8597

Continue Reading →

An Introduction to Algebra

Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges
Author: Jeremiah Day
Publisher: N.A
ISBN: N.A
Category: Algebra
Page: 332
View: 5582

Continue Reading →

Arithmetic with an Introduction to Algebra


Author: Martin M. Zuckerman
Publisher: Rowman & Littlefield
ISBN: 9780912675022
Category: Mathematics
Page: 304
View: 1645

Continue Reading →

This book covers the basic topics in arithmetic and algebra with which every college student should be thoroughly familiar. It is written with the student in mind, in a style and at a level appropriate for student understanding.

Introduction to Algebra


Author: R. Kochendorffer
Publisher: Springer Science & Business Media
ISBN: 9400981791
Category: Mathematics
Page: 414
View: 3319

Continue Reading →

This book is intended as a textbook for an undergraduate course on algebra. In most universities a detailed study ·of abstract algebraic systems commences in the second year. By this time the student has gained some experience in mathematical reasoning so that a too elementary book would rob him of the joy and the stimulus of using his ability. I tried to make allowance for this when I chose t4e level of presentation. On the other hand, I hope that I also avoided discouraging the reader by demands which are beyond his strength. So, the first chapters will certainly not require more mathematical maturity than can reasonably be expected after the first year at the university. Apart from one exception the formal prerequisites do not exceed the syllabus of an average high school. As to the exception, I assume that the reader is familiar with the rudiments of linear algebra, i. e. addition and multiplication of matrices and the main properties of determinants. In view of the readers for whom the book is designed I felt entitled to this assumption. In the first chapters, matrices will almost exclusively occur in examples and exercises providing non-trivial instances in the theory of groups and rings. In Chapters 9 and 10 only, vector spaces and their properties will form a relevant part of the text. A reader who is not familiar with these concepts will have no difficulties in acquiring these prerequisites by any elementary textbook, e. g. [10].

Numbers and Symmetry

An Introduction to Algebra
Author: Bernard L. Johnston,Fred Richman
Publisher: CRC Press
ISBN: 9780849303012
Category: Mathematics
Page: 272
View: 1587

Continue Reading →

This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced in the context of concrete number systems. Groups arise from considering transformations of simple geometric objects. The analysis of symmetry provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate course in modern algebra, it provides a gentle introduction to the subject by allowing students to see the ideas at work in accessible examples, rather than plunging them immediately into a sea of formalism. The student is involved at once with interesting algebraic structures, such as the Gaussian integers and the various rings of integers modulo n, and is encouraged to take the time to explore and become familiar with those structures. In terms of classical algebraic structures, the text divides roughly into three parts:

Introduction to algebra

teacher's commentary, parts I-II
Author: School Mathematics Study Group
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 3403

Continue Reading →

An Introduction to Algebraic Structures


Author: Joseph Landin
Publisher: Courier Corporation
ISBN: 0486150410
Category: Mathematics
Page: 272
View: 7871

Continue Reading →

This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.

An Introduction to the History of Algebra

Solving Equations from Mesopotamian Times to the Renaissance
Author: Jacques Sesiano
Publisher: American Mathematical Soc.
ISBN: 0821844733
Category: Mathematics
Page: 174
View: 6800

Continue Reading →

This text should not be viewed as a comprehensive history of algebra before 1600, but as a basic introduction to the types of problems that illustrate the earliest forms of algebra. It would be particularly useful for an instructor who is looking for examples to help enliven a course on elementary algebra with problems drawn from actual historical texts. --Warren Van Egmond about the French edition for MathSciNet This book does not aim to give an exhaustive survey of the history of algebra up to early modern times but merely to present some significant steps in solving equations and, wherever applicable, to link these developments to the extension of the number system. Various examples of problems, with their typical solution methods, are analyzed, and sometimes translated completely. Indeed, it is another aim of this book to ease the reader's access to modern editions of old mathematical texts, or even to the original texts; to this end, some of the problems discussed in the text have been reproduced in the appendices in their original language (Greek, Latin, Arabic, Hebrew, French, German, Provencal, and Italian) with explicative notes.

An Introduction to Algebraic Topology


Author: Joseph J. Rotman
Publisher: Springer Science & Business Media
ISBN: 1461245761
Category: Mathematics
Page: 437
View: 7062

Continue Reading →

A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.

Introduction to Algebraic K-Theory. (AM-72)


Author: John Milnor
Publisher: Princeton University Press
ISBN: 140088179X
Category: Mathematics
Page: 200
View: 7227

Continue Reading →

Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.