Advanced Mathematical Methods for Scientists and Engineers (2004).pdf
(8.44 MB, 需要: 10 个论坛币)
Algebra
- Sets and Functions - Very preliminary.
- Vectors - Finished. An elementary treatment.
- Differential Calculus - Short, but done.
- Integral Calculus - Short, but done.
- Vector Calculus - Very preliminary.
- Complex Numbers - Done.
- Functions of a Complex Variable - Done.
- Analytic Functions - Done.
- Analytic Continuation - Disorganized.
- Contour Integration and Cauchy's Formula - Done.
- Cauchy's Integral Formula - Done.
- Series and Convergence - Done.
- The Residue Theorem - Done.
- First Order Differential Equations - Done.
- First Order Systems of Differentials Equations - Preliminary.
- Theory of Linear Ordinary Differential Equations - Done.
- Techniques for Linear Differential Equations - Done.
- Techniques for Nonlinear Differential Equations - Preliminary.
- Transformations and Canonical Forms - Preliminary.
- The Dirac Delta Function - Preliminary.
- Inhomogeneous Differential Equations - Done.
- Difference Equations - Preliminary.
- Series Solutions of Differential Equations - Done.
- Asymptotic Expansions - Preliminary.
- Hilbert Spaces - Very Preliminary.
- Self Adjoint Linear Operators - Very Preliminary.
- Self Adjoint Boundary Value Problems - Very Preliminary.
- Fourier Series - Done.
- Regular Sturm-Liouville Problems - Done.
- Integrals and Convergence - Preliminary.
- The Laplace Transform - Done.
- The Fourier Transform - Done.
- The Gamma Function - Preliminary.
- Bessel Functions - Preliminary.


雷达卡




京公网安备 11010802022788号







