Author : H K Dass, Rajnish Verma & Rama Verma
Price : 395.00 316.00
"This textbook has been designed to meet the needs of B.Sc. Third Semester students of Mathematics as per Common Minimum Syllabus prescribed for all Uttar Pradesh State Universities and Colleges under the recommended National Education Policy 2020 (NEP 2020). A methodical text, which mirrors the flow of the units of the syllabus, has been created with a focus on developing mathematical skills in algebra and mathematical methods and it enables the reader to possess an in-depth knowledge of the subjects. To achieve this, topics such as Ring and Field, Lagrange Multiplier Method, Jacobians, Laplace Transform and Properties, Fourier Series and Integral Transform are well explained.
· Divided in Eight Units which are sub-divided in 20 chapters for a 100% coverage of the recommended syllabus
· Over 300 examples in the text illustrate all major topics thereby providing ample support to the theory explained
· More than 50 Exercises which carry close to 500 questions provide rich practice
Unit I
1. Ancient Indian Mathematics
2. Equivalence Relation and Partitions
3. Group, Subgroup and Cyclic Groups
Unit II
4. Permutation Groups
5. Fermat and Euler Theorems
Unit III
6. Normal Subgroup and Quotient Group
7. Homomorphism and Isomorphism
Unit IV
8. Ring and Field
Unit V
9. Limit, Continuity and Differentiability of Function of Two Variables
10. Taylor's Theorem for two Variables
11. Maxima and Minima for Function of two Variables
12. Lagrange Multiplier Method
13. Jacobians
Unit VI
14. Laplace Transform and Properties
15. Inverse Laplace Transform
16. Solution of Differential Equations Using Laplace Transform
Unit VII
17. Fourier Series
18. Fourier Integral Transform
19. Finite Fourier Transform
Unit VIII
20. Calculus of VariationThis book is designed for B.Sc. Mathematics Third Semester students as per Common Minimum Syllabus prescribed for all Uttar Pradesh State Universities and Colleges under the recommended National Education Policy 2020 (NEP 2020)
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