Download Text Book Advanced Algebra by Krishna Series PDF
This book on Advanced Algebra has been specially written according to the latest Syllabus to meet the requirements of B.A. and B.Sc. Semester-III Students of all colleges affiliated with Kumaun University.
This book is important for UPSC Optional, IIT JEE Mains, Graduation College Students BSC all sem (1st, 2nd, 3rd year), BA (1st, 2nd, 3rd, 4th, 5th, 6th semester), Engineering, Preparing for SSC, Banking And Other Competitive Examination.
| Name of Book | Advanced Algebra |
| Subject | Mathematics |
| Author | A.R. Vasishtha |
| Size | 1.2 MB |
| Pages | 144 |
| Language | English |
| Publisher | Krishna Prakashan |
The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The proofs of various theorems and examples have been given with minute details. Each chapter of this book contains complete theory and a fairly large number of solved examples. Sufficient problems have also been selected from various university examination papers. At the end of each chapter an exercise containing objective questions has been given.
Chapter (INDEX)
- Rings
- Subrings and Ideals
- Polynomial Rings and Unique Factorization Domain
Syllabus
Rings: Rings, Various types of rings, Rings with unity, Rings without zero divisors, Properties of rings, Sub rings.
Ideals: Ideals, Quotient rings, Principal ideals, Maximal ideals, Prime ideals, Principal ideal domains, Characteristic of a ring.
Integral Domains and Fields: Integral domain, Field, Skew field etc., Field of quotients of an integral domain, Embedding of an integral domain in a field, Factorization in an integral domain, Divisibility, Units, Associates, Prime and irreducible elements, Unique Factorisation Domain, Euclidean rings.
Polynomial Rings: Polynomials over a ring, Degree of a polynomial, Zero, Constant and monic polynomials, Equality of polynomials, Addition and multiplication of polynomials, Polynomial rings, Embedding of a ring R into R[x], Division algorithm, Euclidean algorithm, Units and associates in polynomials, Irreducible polynomials.