**Share this page:- **

**Congratulations, the link is avaliable for free download.**

**MathSchoolinternational** contain thousands of
**Mathematics Free Books** and
**Physics Free Books**. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other
**Best Free Math Websites** for teachers and students.

Here is extisive list of
**Abstract Algebra ebooks **. We hope students and teachers like these **textbooks**, **notes** and **solution manuals**.

**About this book :- **
**Abstract Algebra (2nd Edition) ** written by
** Justin R. Smith **.

This book arose out of courses in Abstract Algebra, Galois Theory, Algebraic Geometry, and Manifold Theory the author taught at Drexel University. It is useful for self-study or as a course textbook. The first four chapters are suitable for the first of a two semester undergraduate course in Abstract Algebra and chapters five through seven are suitable for the second semester.

**Book Detail :- **
** Title: ** Abstract Algebra
** Edition: ** Second Edition
** Author(s): ** Justin R. Smith
** Publisher: **
** Series: **
** Year: **
** Pages: ** 462
** Type: ** PDF
** Language: ** Englsih
** ISBN: **
** Country: ** US

Get Similar Books from Amazon

**Join our new updates, alerts:-**

For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).

Join WhatsApp Group

Join Telegram Group

**Book Contents :- **
**Abstract Algebra (2nd Edition) ** written by
** Justin R. Smith **.
cover the following topics.

Foreword

List of Figures
**1. Introduction**
**2. Preliminaries**

2.1. Set theory

2.2. Operations on sets

2.3. The Power Set
**3. A glimpse of number theory**

3.1. Prime numbers and unique factorization

3.2. Modular arithmetic

3.3. The Euler f-function

3.4. Applications to cryptography
**4. Group Theory**

4.1. Introduction

4.2. Homomorphisms

4.3. Cyclic groups

4.4. Subgroups and cosets

4.5. Symmetric Groups

4.6. Abelian Groups

4.7. Group-actions

4.8. The Sylow Theorems

4.9. Subnormal series

4.10. Free Groups

4.11. Groups of small order
**5. The Theory of Rings**

5.1. Basic concepts

5.2. Homomorphisms and ideals

5.3. Integral domains and Euclidean Rings

5.4. Noetherian rings

5.5. Polynomial rings

5.6. Unique factorization domains
**6. Modules and Vector Spaces**

6.1. Introduction

6.2. Vector spaces

6.3. Modules

6.4. Rings and modules of fractions
**7. Fields**

7.1. Definitions

7.2. Algebraic extensions of fields

7.3. Computing Minimal polynomials

7.4. Algebraically closed fields

7.5. Finite fields

7.6. Transcendental extensions
**8. Further topics in ring theory**

8.1. Artinian rings

8.2. Integral extensions of rings

8.3. The Jacobson radical and Jacobson rings

8.4. Discrete valuation rings

8.5. Graded rings and modules
**9. Galois Theory**

9.1. Before Galois

9.2. Galois

9.3. Isomorphisms of fields

9.4. Roots of Unity

9.5. Cyclotomic Polynomials

9.6. Group characters

9.7. Galois Extensions

9.8. Solvability by radicals

9.9. Galois’s Great Theorem

9.10. The fundamental theorem of algebra
**10. Division Algebras over R**

10.1. The Cayley-Dickson Construction

10.2. Quaternions

10.3. Octonions and beyond
**11. A taste of category theory**

11.1. Introduction

11.2. Functors

11.3. Adjoint functors

11.4. Limits

11.5. Abelian categories

11.6. Tensor products

11.7. Tensor Algebras and variants
**12. A little algebraic geometry**

12.1. Introduction

12.2. Hilbert’s Nullstellensatz
**13. Cohomology**

13.1. Chain complexes and cohomology

13.2. Rings and modules

13.3. Cohomology of groups
**Appendix**

A. Axiomatic Set Theory

A.1. Introduction

A.2. Zermelo-Fraenkel Axioms

B. Solutions to Selected Exercises

Glossary

Index

Bibliography

Open by Cloud or

Download Similar Books

**Note:-**

We are not the owner of this book/notes. We provide it which is already avialable on the internet. For any further querries please contact us. We never SUPPORT PIRACY. This copy was provided for students who are financially troubled but want studeing to learn. If You Think This Materials Is Useful, Please get it legally from the PUBLISHERS. Thank you.

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis