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Advanced Engineering Mathematics: Engineering Mathematics-I

Advanced Engineering Mathematics: Engineering Mathematics-I

          
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About the Book

Engineering Mathematics-I fulfills the need for a book that not only effectively explains the concepts but also aids in visualizing the underlying geometric interpretation. Every chapter has easy to follow explanations of the theory and numerous step-by-step solved problems and examples. The questions have been hand-picked from the previous years’ question papers and are suitable to the current pattern of questions asked. Extreme care has been taken to provide careful and correct mathematics, outstanding exercises and helpful worked examples.

About the Author

Professor A. Ramakrishna Prasad is presently Director, University Industry Interaction Cell and Chairman Board of Studies (Mathematics) of Jawaharlal Nehru Technological University, Hyderabad. Having a passion for teaching, he made a modest beginning as a teaching assistant in 1980 and has been serving Jawaharlal Nehru Technological University in various capacities since then. He has a vast teaching experience of over two decades and has been teaching varied subjects such as Engineering Mathematics, Information Systems, Data Base Management Engineering, etc.



Table of Contents:
Chapter 1 Theory of Matrices 1.1 Introduction 1.2 Basic Concepts: Matrices 1.3 Determinants 1.4 Real Matrices: Symmetric, Skew-Symmetric and Orthogonal 1.5 Complex Matrices 1.6 Adjoint and Inverse of a Matrix 1.7 Inverse of a Matrix by Elementary Transformations (Gauss-Jordan Method) 1.8 Rank of a Matrix 1.9 System of Linear Equations 1.10 Vectors: Linear Dependence and Indpendence 1.11 System of Linear Equations: Triangular Systems 1.12 Characteristic Equation 1.13 Eigenvalues and Eigenvectors 1.14 Cayley-Hamilton Theorem 1.15 Diagonalization and Powers of a Matrix 1.16 Applications of Matrices to Engineering Problems 1.17 Linear Transformation 1.18 Orthogonal Transformation 1.19 Quadratic Forms Chapter 2 Differential Calculus Methods 2.1 Introduction 2.2 Rolle’s Theorem 2.3 Lagrange’s Mean Value Theorem 2.4 Cauchy’s Mean Value Theorem 2.5 Functions of Several Variables 2.6 Partial Derivatives 2.7 Total Derivatives 2.8 Jacobians 2.9 Functionally Dependent Functions 2.10 Maxima and Minima 2.11 Constrained Maxima and Minima (Lagrange’s Method of Undetermined Multipliers) Chapter 3 Improper Integrals and Multiple Integrals 3.1 Introduction 3.2 Improper Integrals of First Kind 3.3 Improper Integrals of Second Kind 3.4 Beta and Gamma Functions 3.5 Double Integrals 3.6 Triple Integrals 3.7 Change of Order of Integration in a Double Integral 3.8 Change of Variables 3.9 Rectification of Standard Curves


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Product Details
  • ISBN-13: 9788126543878
  • Publisher: Wiley India Pvt Ltd
  • Binding: Paperback
  • No of Pages: 388
  • ISBN-10: 8126543876
  • Publisher Date: 2014
  • Language: English

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