000			02654nam a22002177a 4500
003			OSt
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008			240829b |||||||| |||| 00| 0 eng d
020			_a9789358701777
082			_a510 _bDAS
100			_aDass, H K
245			_aIntroduction to Engineering Mathematics
250			_a12th ed
260			_aNoida _bS Chand and Company Ltd. _c2024
300			_axx, 632p _c23 x 17 cm
500			_aThe 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.
520			_aUNIT 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
700			_aVerma, Rama
700			_aVerma, Rajnish
942			_2ddc _cBB _0403
999			_c6345 _d6345