2013, ISBN: 9788126543120

Wiley India Pvt. Ltd, 2013. Softcover. New. Enriched with additional topics to exactly cover syllabus, this version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig, globally… Plus…

Wiley India Pvt. Ltd, 2013. Softcover. New. Enriched with additional topics to exactly cover syllabus, this version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig, globally the most popular textbook on the subject, is restructured in a concise and easy-to-understand manner. It fulfills the need for a book that not only effectively explains the concepts but also aids in visualizing the underlying geometric interpretation. Preface Chapter 1 Differential Calculus I Learning Objectives 1.1 Introduction 1.2 Successive Differentiation: nth Derivative of Standard Functions 1.3 Leibnitz?s Theorem 1.4 Partial Derivatives 1.5 Homogeneous Function 1.6 Total Derivatives 1.7 Variables Treated as Constant 1.8 Asymptotes 1.9 Tracing the Curve in Cartesian Form 1.10 Tracing of Curves in Parametric Form 1.11 Tracing the Curves in Polar Form Important Points and Formulas True and False Questions Exercises Answers Chapter 2 Differential Calculus II Learning Objectives 2.1 Introduction 2.2 Taylor?s and Maclaurin?s Theorems and Expansion of Functions 2.3 Expansion of Functions 2.4 Jacobians 2.5 Functionally Dependent Functions 2.6 Errors and Approximations 2.7 Maxima and Minima of Function of Two Variables 2.8 Constrained Maxima and Minima (Lagrange?s Method of Undetermined Multipliers) Important Points and Formulas True and False Questions Match the Following Exercises Answers Chapter 3 Linear Algebra Learning Objectives 3.1 Introduction 3.2 Basic Concepts: Matrices 3.3 Determinants 3.4 Real Matrices: Symmetric, Skew-Symmetric and Orthogonal 3.5 Complex Matrices 3.6 Adjoint and Inverse of a Matrix 3.7 Inverse of a Matrix by Elementary Transformations (or Gauss-Jordan Method) 3.8 Rank of a Matrix 3.9 System of Linear Equations 3.10 Vectors: Linear Dependence and Independence 3.11 System of Linear Equations: Triangular Systems 3.12 Characteristic Equation 3.13 Eigenvalues and Eigenvectors 3.14 Cayley-Hamilton Theorem 3.15 Diagonalization and Powers of a Matrix 3.16 Applications of Matrices to Engineering Problems 3.17 Vector Spaces: Subspaces, Rank and Nullity 3.18 Linear Transformations 3.18.1 Kernel of a Linear Transformation Important Points and Formulas Multiple-Choice Questions True and False Questions Exercises Answers Chapter 4 Multiple Integrals Learning Objectives 4.1 Introduction 4.2 Double Integrals 4.3 Triple Integrals 4.4 Change of Order of Integration in a Double Integral 4.5 Change of Variables 4.6 Rectification of Standard Curves 4.7 Area as a Double Integral (Area Enclosed by Plane Curves) 4.8 Volume as a Triple Integral 4.9 Volume of Solids 4.10 Area of a Curved Surface 4.11 Beta and Gamma Functions 4.12 Dirichlet?s Integrals and Applications Important Points and Formulas Multiple-Choice Questions Match the Following Exercises Answers Chapter 5 Vector Calculus Learning Objectives 5.1 Introduction 5.2 Vector Algebra 5.3 Differentiation of a Vector 5.4 Gradient of a Scalar Point Function 5.5 Directional Derivative 5.6 Angle of Intersection of Two Surfaces 5.7 Divergence and Curl 5.8 Solenoidal and Irrotational Vectors 5.9 Vector Integration 5.10 Surface and Volume Integrals 5.11 Green?s Theorem in the Plane 5.12 Gauss Divergence Theorem 5.13 Stokes? Theorem Important Points and Formulas Fill in the Blanks Exercises Answers Appendix Printed Pages: 468. NA, Wiley India Pvt. Ltd, 2013<

2013, ISBN: 9788126543120

Wiley India Pvt. Ltd, 2013. Softcover. New. Enriched with additional topics to exactly cover syllabus, this version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig, globally… Plus…

Wiley India Pvt. Ltd, 2013. Softcover. New. Enriched with additional topics to exactly cover syllabus, this version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig, globally the most popular textbook on the subject, is restructured in a concise and easy-to-understand manner. It fulfills the need for a book that not only effectively explains the concepts but also aids in visualizing the underlying geometric interpretation. Preface Chapter 1 Differential Calculus I Learning Objectives 1.1 Introduction 1.2 Successive Differentiation: nth Derivative of Standard Functions 1.3 Leibnitz?s Theorem 1.4 Partial Derivatives 1.5 Homogeneous Function 1.6 Total Derivatives 1.7 Variables Treated as Constant 1.8 Asymptotes 1.9 Tracing the Curve in Cartesian Form 1.10 Tracing of Curves in Parametric Form 1.11 Tracing the Curves in Polar Form Important Points and Formulas True and False Questions Exercises Answers Chapter 2 Differential Calculus II Learning Objectives 2.1 Introduction 2.2 Taylor?s and Maclaurin?s Theorems and Expansion of Functions 2.3 Expansion of Functions 2.4 Jacobians 2.5 Functionally Dependent Functions 2.6 Errors and Approximations 2.7 Maxima and Minima of Function of Two Variables 2.8 Constrained Maxima and Minima (Lagrange?s Method of Undetermined Multipliers) Important Points and Formulas True and False Questions Match the Following Exercises Answers Chapter 3 Linear Algebra Learning Objectives 3.1 Introduction 3.2 Basic Concepts: Matrices 3.3 Determinants 3.4 Real Matrices: Symmetric, Skew-Symmetric and Orthogonal 3.5 Complex Matrices 3.6 Adjoint and Inverse of a Matrix 3.7 Inverse of a Matrix by Elementary Transformations (or Gauss-Jordan Method) 3.8 Rank of a Matrix 3.9 System of Linear Equations 3.10 Vectors: Linear Dependence and Independence 3.11 System of Linear Equations: Triangular Systems 3.12 Characteristic Equation 3.13 Eigenvalues and Eigenvectors 3.14 Cayley-Hamilton Theorem 3.15 Diagonalization and Powers of a Matrix 3.16 Applications of Matrices to Engineering Problems 3.17 Vector Spaces: Subspaces, Rank and Nullity 3.18 Linear Transformations 3.18.1 Kernel of a Linear Transformation Important Points and Formulas Multiple-Choice Questions True and False Questions Exercises Answers Chapter 4 Multiple Integrals Learning Objectives 4.1 Introduction 4.2 Double Integrals 4.3 Triple Integrals 4.4 Change of Order of Integration in a Double Integral 4.5 Change of Variables 4.6 Rectification of Standard Curves 4.7 Area as a Double Integral (Area Enclosed by Plane Curves) 4.8 Volume as a Triple Integral 4.9 Volume of Solids 4.10 Area of a Curved Surface 4.11 Beta and Gamma Functions 4.12 Dirichlet?s Integrals and Applications Important Points and Formulas Multiple-Choice Questions Match the Following Exercises Answers Chapter 5 Vector Calculus Learning Objectives 5.1 Introduction 5.2 Vector Algebra 5.3 Differentiation of a Vector 5.4 Gradient of a Scalar Point Function 5.5 Directional Derivative 5.6 Angle of Intersection of Two Surfaces 5.7 Divergence and Curl 5.8 Solenoidal and Irrotational Vectors 5.9 Vector Integration 5.10 Surface and Volume Integrals 5.11 Green?s Theorem in the Plane 5.12 Gauss Divergence Theorem 5.13 Stokes? Theorem Important Points and Formulas Fill in the Blanks Exercises Answers Appendix Printed Pages: 468. NA, Wiley India Pvt. Ltd, 2013<

2013, ISBN: 9788126543120

Wiley India Pvt. Ltd, 2013. Softcover. New. Enriched with additional topics to exactly cover syllabus, this version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig, globally… Plus…

Wiley India Pvt. Ltd, 2013. Softcover. New. Enriched with additional topics to exactly cover syllabus, this version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig, globally the most popular textbook on the subject, is restructured in a concise and easy-to-understand manner. It fulfills the need for a book that not only effectively explains the concepts but also aids in visualizing the underlying geometric interpretation. Preface Chapter 1 Differential Calculus I Learning Objectives 1.1 Introduction 1.2 Successive Differentiation: nth Derivative of Standard Functions 1.3 Leibnitz?s Theorem 1.4 Partial Derivatives 1.5 Homogeneous Function 1.6 Total Derivatives 1.7 Variables Treated as Constant 1.8 Asymptotes 1.9 Tracing the Curve in Cartesian Form 1.10 Tracing of Curves in Parametric Form 1.11 Tracing the Curves in Polar Form Important Points and Formulas True and False Questions Exercises Answers Chapter 2 Differential Calculus II Learning Objectives 2.1 Introduction 2.2 Taylor?s and Maclaurin?s Theorems and Expansion of Functions 2.3 Expansion of Functions 2.4 Jacobians 2.5 Functionally Dependent Functions 2.6 Errors and Approximations 2.7 Maxima and Minima of Function of Two Variables 2.8 Constrained Maxima and Minima (Lagrange?s Method of Undetermined Multipliers) Important Points and Formulas True and False Questions Match the Following Exercises Answers Chapter 3 Linear Algebra Learning Objectives 3.1 Introduction 3.2 Basic Concepts: Matrices 3.3 Determinants 3.4 Real Matrices: Symmetric, Skew-Symmetric and Orthogonal 3.5 Complex Matrices 3.6 Adjoint and Inverse of a Matrix 3.7 Inverse of a Matrix by Elementary Transformations (or Gauss-Jordan Method) 3.8 Rank of a Matrix 3.9 System of Linear Equations 3.10 Vectors: Linear Dependence and Independence 3.11 System of Linear Equations: Triangular Systems 3.12 Characteristic Equation 3.13 Eigenvalues and Eigenvectors 3.14 Cayley-Hamilton Theorem 3.15 Diagonalization and Powers of a Matrix 3.16 Applications of Matrices to Engineering Problems 3.17 Vector Spaces: Subspaces, Rank and Nullity 3.18 Linear Transformations 3.18.1 Kernel of a Linear Transformation Important Points and Formulas Multiple-Choice Questions True and False Questions Exercises Answers Chapter 4 Multiple Integrals Learning Objectives 4.1 Introduction 4.2 Double Integrals 4.3 Triple Integrals 4.4 Change of Order of Integration in a Double Integral 4.5 Change of Variables 4.6 Rectification of Standard Curves 4.7 Area as a Double Integral (Area Enclosed by Plane Curves) 4.8 Volume as a Triple Integral 4.9 Volume of Solids 4.10 Area of a Curved Surface 4.11 Beta and Gamma Functions 4.12 Dirichlet?s Integrals and Applications Important Points and Formulas Multiple-Choice Questions Match the Following Exercises Answers Chapter 5 Vector Calculus Learning Objectives 5.1 Introduction 5.2 Vector Algebra 5.3 Differentiation of a Vector 5.4 Gradient of a Scalar Point Function 5.5 Directional Derivative 5.6 Angle of Intersection of Two Surfaces 5.7 Divergence and Curl 5.8 Solenoidal and Irrotational Vectors 5.9 Vector Integration 5.10 Surface and Volume Integrals 5.11 Green?s Theorem in the Plane 5.12 Gauss Divergence Theorem 5.13 Stokes? Theorem Important Points and Formulas Fill in the Blanks Exercises Answers Appendix Printed Pages: 468., Wiley India Pvt. Ltd, 2013<

2013, ISBN: 9788126543120

Wiley India Pvt. Ltd, 2013. Softcover. New. Enriched with additional topics to exactly cover syllabus, this version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig, globally… Plus…

Wiley India Pvt. Ltd, 2013. Softcover. New. Enriched with additional topics to exactly cover syllabus, this version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig, globally the most popular textbook on the subject, is restructured in a concise and easy-to-understand manner. It fulfills the need for a book that not only effectively explains the concepts but also aids in visualizing the underlying geometric interpretation. Preface Chapter 1 Differential Calculus I Learning Objectives 1.1 Introduction 1.2 Successive Differentiation: nth Derivative of Standard Functions 1.3 Leibnitz?s Theorem 1.4 Partial Derivatives 1.5 Homogeneous Function 1.6 Total Derivatives 1.7 Variables Treated as Constant 1.8 Asymptotes 1.9 Tracing the Curve in Cartesian Form 1.10 Tracing of Curves in Parametric Form 1.11 Tracing the Curves in Polar Form Important Points and Formulas True and False Questions Exercises Answers Chapter 2 Differential Calculus II Learning Objectives 2.1 Introduction 2.2 Taylor?s and Maclaurin?s Theorems and Expansion of Functions 2.3 Expansion of Functions 2.4 Jacobians 2.5 Functionally Dependent Functions 2.6 Errors and Approximations 2.7 Maxima and Minima of Function of Two Variables 2.8 Constrained Maxima and Minima (Lagrange?s Method of Undetermined Multipliers) Important Points and Formulas True and False Questions Match the Following Exercises Answers Chapter 3 Linear Algebra Learning Objectives 3.1 Introduction 3.2 Basic Concepts: Matrices 3.3 Determinants 3.4 Real Matrices: Symmetric, Skew-Symmetric and Orthogonal 3.5 Complex Matrices 3.6 Adjoint and Inverse of a Matrix 3.7 Inverse of a Matrix by Elementary Transformations (or Gauss-Jordan Method) 3.8 Rank of a Matrix 3.9 System of Linear Equations 3.10 Vectors: Linear Dependence and Independence 3.11 System of Linear Equations: Triangular Systems 3.12 Characteristic Equation 3.13 Eigenvalues and Eigenvectors 3.14 Cayley-Hamilton Theorem 3.15 Diagonalization and Powers of a Matrix 3.16 Applications of Matrices to Engineering Problems 3.17 Vector Spaces: Subspaces, Rank and Nullity 3.18 Linear Transformations 3.18.1 Kernel of a Linear Transformation Important Points and Formulas Multiple-Choice Questions True and False Questions Exercises Answers Chapter 4 Multiple Integrals Learning Objectives 4.1 Introduction 4.2 Double Integrals 4.3 Triple Integrals 4.4 Change of Order of Integration in a Double Integral 4.5 Change of Variables 4.6 Rectification of Standard Curves 4.7 Area as a Double Integral (Area Enclosed by Plane Curves) 4.8 Volume as a Triple Integral 4.9 Volume of Solids 4.10 Area of a Curved Surface 4.11 Beta and Gamma Functions 4.12 Dirichlet?s Integrals and Applications Important Points and Formulas Multiple-Choice Questions Match the Following Exercises Answers Chapter 5 Vector Calculus Learning Objectives 5.1 Introduction 5.2 Vector Algebra 5.3 Differentiation of a Vector 5.4 Gradient of a Scalar Point Function 5.5 Directional Derivative 5.6 Angle of Intersection of Two Surfaces 5.7 Divergence and Curl 5.8 Solenoidal and Irrotational Vectors 5.9 Vector Integration 5.10 Surface and Volume Integrals 5.11 Green?s Theorem in the Plane 5.12 Gauss Divergence Theorem 5.13 Stokes? Theorem Important Points and Formulas Fill in the Blanks Exercises Answers Appendix Printed Pages: 468., Wiley India Pvt. Ltd, 2013<