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Mathematics for B.Sc. Students: Semester III (Algebra | Mathematical Methods) NEP-UP

Mathematics for B.Sc. Students: Semester III (Algebra | Mathematical Methods) NEP-UP

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  • ISBN : 9789355012791
  • Pages : 408
  • Binding : Paperback
  • Language : English
  • Imprint : S. Chand Publishing
  • © year : 2023
  • Size : 6.5 X 9.25

Price : 350.00 280.00

"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 Variation

This 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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