Advanced Engineering Mathematics (10th Edition)

DescriptionThe tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis and linear algebra / differential equations.Table of ContentsPart A: Ordinary Differential Equations (ODEs)  Chapter 1 First-Order ODEsChapter 2 Second-Order Linear ODEsChapter 3 Higher Order Linear ODEsChapter 4 Systems of ODEs. Phase Plane. Qualitative MethodsChapter 5 Series Solutions of ODEs. Special FunctionsChapter 6 Laplace TransformsPart B: Linear Algebra. Vector CalculusChapter 7 Linear Algebra: Matrices, Vectors, Determinants. Linear SystemsChapter 8 Linear Algebra: Matrix Eigenvalue ProblemsChapter 9 Vector Differential Calculus. Grad, Div, CurlChapter 10 Vector Integral Calculus. Integral TheoremsPart C: Fourier Analysis. Partial Differential Equations (PDEs)Chapter 11 Fourier AnalysisChapter 12 Partial Differential Equations (PDEs)Part D: Complex AnalysisChapter 13 Complex Numbers and Functions. Complex DifferentiationChapter 14 Complex IntegrationChapter 15 Power Series, Taylor SeriesChapter 16 Laurent Series. Residue IntegrationChapter 17 Conformal MappingChapter 18 Complex Analysis and Potential TheoryPart E: Numeric AnalysisChapter 19 Numerics in GeneralChapter 20 Numeric Linear AlgebraChapter 21 Numerics for ODEs and PDEsPart F: Optimization, GraphsChapter 22 Unconstrained Optimization. Linear ProgrammingChapter 23 Graphs. Combinatorial OptimizationAppendix 1 ReferencesAppendix 2 Answers to Selected ProblemsAppendix 3 Auxiliary MaterialAppendix 4 Additional ProofsAppendix 5 TablesIndex  Photo Credits