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Elements of Modern Algebra by Jimmie Gilbert and Linda Gilbert (2008, Hardcover)

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Item specifics

Condition
Like New: A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is ...
ISBN
9780495561361

About this product

Product Identifiers

Publisher
Brooks/Cole
ISBN-10
0495561363
ISBN-13
9780495561361
eBay Product ID (ePID)
69978333

Product Key Features

Number of Pages
456 Pages
Publication Name
Elements of Modern Algebra
Language
English
Publication Year
2008
Subject
General, Algebra / Elementary
Type
Textbook
Author
Jimmie Gilbert, Linda Gilbert
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1.1 in
Item Weight
32.9 Oz
Item Length
9.2 in
Item Width
7.6 in

Additional Product Features

Edition Number
7
Intended Audience
College Audience
LCCN
2008-928823
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
512/.02
Table Of Content
1. FUNDAMENTALS.Sets. Mappings. Properties of Composite Mappings (Optional). Binary Operations. Permutations and Inverses. Matrices. Relations. Key Words and Phrases. A Pioneer in Mathematics: Arthur Cayley.2. THE INTEGERS.Postulates for the Integers (Optional). Mathematical Induction. Divisibility. Prime Factors and Greatest Common Divisor. Congruence of Integers. Congruence Classes. Introduction to Coding Theory (Optional). Introduction to Cryptography (Optional). Key Words and Phrases. A Pioneer in Mathematics: Blaise Pascal.3. GROUPS.Definition of a Group. Properties of Group Elements. Subgroups. Cyclic Groups. Isomorphisms. Homomorphisms. Key Words and Phrases. A Pioneer in Mathematics: Niels Henrik Abel.4. MORE ON GROUPS.Finite Permutation Groups. Cayley's Theorem. Permutation Groups in Science and Art (Optional). Cosets of a Subgroups. Normal Subgroups. Quotient Groups. Direct Sums (Optional). Some Results on Finite Abelian Groups (Optional). Key Words and Phrases. A Pioneer in Mathematics: Augustin Louis Cauchy.5. RINGS, INTEGRAL DOMAINS, AND FIELDS.Definition of a Ring. Integral Domains and Fields. The Field of Quotients of an Integral Domain. Ordered Integral Domains. Key Words and Phrases. A Pioneer in Mathematics: Richard Dedekind.6. MORE ON RINGS.Ideals and Quotient Rings. Ring Homomorphisms. The Characteristic of a Ring.Maximal Ideals (Optional). Key Words and Phrases. A Pioneer in Mathematics: Amalie Emmy Noether.7. REAL AND COMPLEX NUMBERS.The Field of Real Numbers. Complex Numbers and Quaternions. De Moivre's Theorem and Roots of Complex Numbers. Key Words and Phrases. A Pioneer in Mathematics: William Rowan Hamilton.8. POLYNOMIALS.Polynomials over a Ring. Divisibility and Greatest Common Divisor. Factorization in F[x]. Zeros of a Polynomial. Solutions of Cubic and Quartic Equations by Formulas (Optional). Algebraic Extensions of a Field. Key Words and Phrases. A Pioneer in Mathematics: Carl Friedrich Gauss.Appendix: The Basics of Logic.
Synopsis
ELEMENTS OF MODERN ALGEBRA 7e, with its user-friendly format, provides you with the tools you need to get succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses.. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem solving skills.
LC Classification Number
QA162.G527 2009

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