Introduction to Algebra


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

Introduction to Algebra


Author: R. Kochendorffer
Publisher: Springer Science & Business Media
ISBN: 9400981791
Category: Mathematics
Page: 414
View: 6750

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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].

An Introduction to Algebraic Structures


Author: Joseph Landin
Publisher: Courier Corporation
ISBN: 0486150410
Category: Mathematics
Page: 272
View: 5976

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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.

Introduction to Algebra ...

To which is Added an Appendix, on the Application of Algebra to Geometry
Author: John Bonnycastle
Publisher: N.A
ISBN: N.A
Category: Algebra
Page: 321
View: 2030

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An Introduction to Algebraic Topology


Author: Andrew H. Wallace
Publisher: Courier Corporation
ISBN: 0486152952
Category: Mathematics
Page: 208
View: 3007

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This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. 1961 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: 4621

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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 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: 4413

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Grammar School Algebra

An Introduction to Algebra for Beginners
Author: Emerson Elbridge White
Publisher: N.A
ISBN: N.A
Category: Algebra
Page: 96
View: 7842

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Introduction to Algebraic Geometry


Author: Steven Dale Cutkosky
Publisher: American Mathematical Soc.
ISBN: 1470435187
Category: Geometry, Algebraic
Page: 484
View: 6216

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This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.

Arithmetic with an Introduction to Algebra


Author: Martin M. Zuckerman
Publisher: Rowman & Littlefield
ISBN: 9780912675022
Category: Mathematics
Page: 304
View: 9444

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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.

Numbers and Symmetry

An Introduction to Algebra
Author: Bernard L. Johnston,Fred Richman
Publisher: CRC Press
ISBN: 9780849303012
Category: Mathematics
Page: 272
View: 6958

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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

for the use of secondary schools and technical colleges
Author: George Chrystal
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: 412
View: 1185

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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: 1564

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