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This book follows an advanced course in analysis (vector analysis, complex analysis and Fourier analysis) for engineering students, but can also be useful, as a complement to a more theoretical course, to mathematics and physics students.The first three parts of the book represent the theoretical aspect and are independent of each other. The fourth part gives detailed solutions to all exercises that are proposed in the first three parts.ForewordForeword (71 KB)
Contents Vector Analysis: Differential Operators of Mathematical Physics; Line Integrals; Gradient Vector Fields; Green Theorem; Surface Integrals; Divergence Theorem; Stokes Theorem; Appendix; Complex Analysis: Holomorphic Functions; Complex Integration; Laurent Series; Residue Theorem and Applications; Conformal Mapping; Fourier Analysis: Fourier Series; Fourier Transform; Laplace Transform; Applications: ODE; Applications: PDE; Solutions to the Exercises: Differential Operators: Solutions; Line Integrals: Solutions; Gradient Vector Fields: Solutions; Green Theorem: Solutions; Surface Integrals: Solutions; Divergence Theorem: Solutions; Stokes Theorem: Solutions; Holomorphic Functions: Solutions; Complex Integration: Solutions; Laurent Series: Solutions; Residue Theorem: Solutions; Conformal Mapping: Solutions; Fourier Series: Solutions; Fourier Transform: Solutions; Laplace Transform: Solutions; ODE: Solutions; PDE: Solutions.
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