- #1
zanazzi78
- 115
- 1
I`m reading undergraduate physics at level1.
The suggested reading has been "Anything with Maths for Engineers" in the title!
So i`ve been to the Uni library and found only 2 books,and they don`t appear to be very good.
i intend to buy myself some books but would greatly appreciate some suggestions.
Below is a list of topics to be covered.
Mathematical modelling: How to set up differential equations.
First order differential equations.
Separation of variables.
Population growth, the logistic equation, radioactive decay.
Integrating factor method.
Second order equations with constant coefficients.
Homogeneous and non-homogeneous equations.
Damping and resonance.
Complementary functions and particular integrals.
Taylor series, and series solutions of differential equations.
Special cases of series solutions.
Nonlinear differential equations and equations with several dependent variables, e.g. the predator-prey equations or enzymemediated chemical reactions
The Sinh and Cosh functions. Some trig identities. Functions of two and three variables. Partial derivativesand the chain rule for partial derivatives.
Exact differentials and their physical significance (2 dimensions only). The gradient, divergence and curl of avector field. Polynomials: Roots, factors and the remainder theorem. Finding approximate roots from graphs.
Matrices and matrix arithmetic, determinants and inverses.
Solving systems of linear equations.
Matrices acting on vectors, eigenvectors and eigenvalues.
Fourier series.
Partial differential equations and separation of variables.
The heat and wave equations.
Do you know of any books that would cover some/most of this
Cost isn`t an issue so if you know of several books your recommendations would be very welcomed.
Thanks
The suggested reading has been "Anything with Maths for Engineers" in the title!
So i`ve been to the Uni library and found only 2 books,and they don`t appear to be very good.
i intend to buy myself some books but would greatly appreciate some suggestions.
Below is a list of topics to be covered.
Mathematical modelling: How to set up differential equations.
First order differential equations.
Separation of variables.
Population growth, the logistic equation, radioactive decay.
Integrating factor method.
Second order equations with constant coefficients.
Homogeneous and non-homogeneous equations.
Damping and resonance.
Complementary functions and particular integrals.
Taylor series, and series solutions of differential equations.
Special cases of series solutions.
Nonlinear differential equations and equations with several dependent variables, e.g. the predator-prey equations or enzymemediated chemical reactions
The Sinh and Cosh functions. Some trig identities. Functions of two and three variables. Partial derivativesand the chain rule for partial derivatives.
Exact differentials and their physical significance (2 dimensions only). The gradient, divergence and curl of avector field. Polynomials: Roots, factors and the remainder theorem. Finding approximate roots from graphs.
Matrices and matrix arithmetic, determinants and inverses.
Solving systems of linear equations.
Matrices acting on vectors, eigenvectors and eigenvalues.
Fourier series.
Partial differential equations and separation of variables.
The heat and wave equations.
Do you know of any books that would cover some/most of this
Cost isn`t an issue so if you know of several books your recommendations would be very welcomed.
Thanks