Advanced Engineering Mathematics

Title
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Copyright
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Preface
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Contents
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Part A Ordinary Differential Equations (ODEs)
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1 First-Order ODEs
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2 Second-Order Linear ODEs
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3 Higher Order Linear ODEs
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4 Systems of ODEs. Phase Plane. Qualitative Methods
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5 Series Solutions of ODEs. Special Functions
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6 Laplace Transforms
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Part B Linear Algebra. Vector Calculus
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7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems
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8 Linear Algebra: Matrix Eigenvalue Problems
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9 Vector Differential Calculus. Grad, Div, Curl
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10 Vector Integral Calculus. Integral Theorems
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Part C Fourier Analysis. Partial Differential Equations
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11 Fourier Series, Integrals, and Transforms
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12 Partial Differential Equations (PDEs)
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Part D Complex Analysis
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13 Complex Numbers and Functions
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14 Complex Integration
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15 Power Series, Taylor Series
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16 Laurent Series. Residue Integration
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17 Conformal Mapping
......Page 747
18 Complex Analysis and Potential Theory
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Part E Numeric Analysis
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19 Numerics in General
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20 Numeric Linear Algebra
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21 Numerics for ODEs and PDEs
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Part F Optimization, Graphs
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22 Unconstrained Optimization. Linear Programming
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23 Graphs. Combinatorial Optimization
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Part G Probability, Statistics
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24 Data Analysis. Probability Theory
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25 Mathematical Statistics
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Appendix 1 References
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Appendix 2 Answers to Odd-Numbered Problems
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Appendix 3 Auxiliary Material
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Appendix 4 Additional Proofs
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Appendix 5 Tables
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Photo Credits
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Index
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