Introduction to Engineering Mathematics
Dass, H K
Introduction to Engineering Mathematics - 12th ed - Noida S Chand and Company Ltd. 2024 - xx, 632p 23 x 17 cm
The book "Introduction to Engineering Mathematics I" has been conceptualized specifically according to the New Syllabus (2022 onwards) of A. P. J. Abdul Kalam Technical University (APJAKTU), Lucknow. It covers important topics such as Inverse of a Matrix, Elementary Transformation, Linear Dependence and Independence of Vectors, Solution of System of Linear Equations, Characteristic Equation, Eigen Values and Eigen Vectors, Successive Differentiation (nth Order Derivatives), Curve Tracing, Euler's Theorem for Homogeneous Functions, Jacobians, Beta, Gamma Functions and Properties, Vector Differentiation, Vector Integration, etc. for sound conceptual understanding of students. Latest Question papers have been solved and included in the book. Also, short questions have been added at the end of each chapter for better preparation of examinations.
UNIT 1: MATRICES
1. Inverse of a Matrix, Elementary Transformation
2. Rank of Matrix
3. Linear Dependence and Independence of Vectors
4. Solution of System of Linear Equations
5. Cayley-Hamilton Theorem and Applications
6. Characteristic Equation, Eigen Values and Eigen Vectors
7. Complex Matrices, Hermitian, Skew-Hermitian and Unitary Matrices
8. Applications to Engineering Problems
UNIT 2: DIFFERENTIAL CALCULUS-I
9. Successive Differentiation (Vth Order Derivatives)
10. Leibnitz Theorem
11. Curve Tracing
12. Partial Derivatives
13. Euler's Theorem for Homogeneous Functions
14. Total Derivative
UNIT 3: DIFFERENTIAL CALCULUS-II
15. Expansion of Functions Taylor's and Maclaurin's Theorems for Functions of One and Two Variables
16. Maxima and Minima of Functions of Several Variables
17. Lagrange's Method of Multipliers
18. Jacobians
19. Approximation of Errors
UNIT 4: MULTIPLE INTEGRATION
20. Double Integral
21. Triple Integral
22. Change of Order of Integration
23. Change of Variables
24. Beta, Gamma Functions and Properties
25. Dirichlet's Integral, Applications and Liouville's Extensions of Dirichlet's Integral
UNIT 5: VECTOR CALCULUS
26. Vector Differentiation
27. Vector Integration
Questions from Latest Examination Papers
9789358701777
510 / DAS
Introduction to Engineering Mathematics - 12th ed - Noida S Chand and Company Ltd. 2024 - xx, 632p 23 x 17 cm
The book "Introduction to Engineering Mathematics I" has been conceptualized specifically according to the New Syllabus (2022 onwards) of A. P. J. Abdul Kalam Technical University (APJAKTU), Lucknow. It covers important topics such as Inverse of a Matrix, Elementary Transformation, Linear Dependence and Independence of Vectors, Solution of System of Linear Equations, Characteristic Equation, Eigen Values and Eigen Vectors, Successive Differentiation (nth Order Derivatives), Curve Tracing, Euler's Theorem for Homogeneous Functions, Jacobians, Beta, Gamma Functions and Properties, Vector Differentiation, Vector Integration, etc. for sound conceptual understanding of students. Latest Question papers have been solved and included in the book. Also, short questions have been added at the end of each chapter for better preparation of examinations.
UNIT 1: MATRICES
1. Inverse of a Matrix, Elementary Transformation
2. Rank of Matrix
3. Linear Dependence and Independence of Vectors
4. Solution of System of Linear Equations
5. Cayley-Hamilton Theorem and Applications
6. Characteristic Equation, Eigen Values and Eigen Vectors
7. Complex Matrices, Hermitian, Skew-Hermitian and Unitary Matrices
8. Applications to Engineering Problems
UNIT 2: DIFFERENTIAL CALCULUS-I
9. Successive Differentiation (Vth Order Derivatives)
10. Leibnitz Theorem
11. Curve Tracing
12. Partial Derivatives
13. Euler's Theorem for Homogeneous Functions
14. Total Derivative
UNIT 3: DIFFERENTIAL CALCULUS-II
15. Expansion of Functions Taylor's and Maclaurin's Theorems for Functions of One and Two Variables
16. Maxima and Minima of Functions of Several Variables
17. Lagrange's Method of Multipliers
18. Jacobians
19. Approximation of Errors
UNIT 4: MULTIPLE INTEGRATION
20. Double Integral
21. Triple Integral
22. Change of Order of Integration
23. Change of Variables
24. Beta, Gamma Functions and Properties
25. Dirichlet's Integral, Applications and Liouville's Extensions of Dirichlet's Integral
UNIT 5: VECTOR CALCULUS
26. Vector Differentiation
27. Vector Integration
Questions from Latest Examination Papers
9789358701777
510 / DAS