Cengage Learning; 8th edition
Linda Gilbert’s Elements Of Modern Algebra; 8th Edition (PDF); with its user-friendly format; provides you with the tools you need to succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give you explanations and guidance about techniques and enable you to become more proficient at constructing proofs. A summary of key phrases and words at the end of each chapter help you master the material. A reference section; an appendix; symbolic marginal notes; and numerous examples help you develop and improve your problem-solving skills.
“This ebook does a nice job in presenting both computations and concepts. There is a blend of each throughout each section; with the mechanical; computational problems tied together by conceptual problems and observations.” – Elizabeth Bodine; Cabrini College
“It is written in such a way that our college students can succeed at mastering the algebra concepts they need for their secondary mathematics education career; or for advancing to the next modern algebra course; if desired. The ebook emphasizes the algebra topics we want our math students to know. The order of the topics is perfect and the time (pages) devoted to each topic is what we want. There is an abundant number of exercises so that you can make sure your students achieve success; and at the same time; challenge them to advance to a much higher level.” – Joan Bell; Northeastern State University
P.S We also have Elements of Modern Algebra 8e test bank; instructor’s solution manual and other resources for sale
NOTE: This purchase only includes Elements of Modern Algebra 8th edition PDF eBook. No other resources or codes are included.
Cengage Learning; 8th edition
Table of contents
Table of contents :
Sets. Mappings. Properties of Composite Mappings (Optional). Binary Operations. Permutations and Inverses. Matrices. Relations.
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).
Definition of a Group. Properties of Group Elements. Subgroups. Cyclic Groups. Isomorphisms. Homomorphisms.
4. MORE ON GROUPS.
Finite Permutation Groups. Cayley’s Theorem. Permutation Groups in Science and Art (Optional). Cosets of a Subgroup. Normal Subgroups. Quotient Groups. Direct Sums (Optional). Some Results on Finite Abelian Groups (Optional).
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.
6. MORE ON RINGS.
Ideals and Quotient Rings. Ring Homomorphisms. The Characteristic of a Ring. Maximal Ideals (Optional).
7. REAL AND COMPLEX NUMBERS.
The Field of Real Numbers. Complex Numbers and Quaternions. De Moivre’s Theorem and Roots of Complex Numbers.
Polynomials over a Ring. Divisibility and Greatest Common Divisor. Factorization in _F[x]_ . Zeros of a Polynomial. Solution of Cubic and Quartic Equations by Formulas (Optional). Algebraic Extensions of a Field.