Second-order ordinary differential equations
Ordinary differential equations, and second-order equations in particular, are at the heart of many mathematical descriptions of physical systems, as used by engineers, physicists and applied mathematicians. This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions (Bessel, etc.), Sturm-Liouville theory (involving the appearance of eigenvalues and eigenfunctions) and the definition, properties and use of various integral transforms (Fourier, Laplace, etc.). Numerous worked examples are provided throughout.
Ordinary differential equations, and second-order equations in particular, are at the heart of many mathematical descriptions of physical systems, as used by engineers, physicists and applied mathematicians. This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions (Bessel, etc.), Sturm-Liouville theory (involving the appearance of eigenvalues and eigenfunctions) and the definition, properties and use of various integral transforms (Fourier, Laplace, etc.). Numerous worked examples are provided throughout.
PDFFile size: 0KB
About R.S. Johnson (View Profile)
<a href="http://www.ncl.ac.uk/maths/staff/profile/robin.johnson">http://www.ncl.ac.uk/maths/staff/profile/robin.johnson</a>
Comments for "Second-order ordinary differential equations"
An introduction to the theory of complex variables
By: R.S. Johnson
The theory of complex variables is significant in pure mathematics, and the basis for important applications in applied mathematics (e.g. fluids). This text provides an introduction to the ideas that are met at university: complex functions, differentiability, integration theorems, with applications to real integrals. Applications to applied mathematics are omitted, although Fourier transforms are...
Fluid Mechanics and the Theory of Flight
By: R.S. Johnson
The study of fluid mechanics is fundamental to modern applied mathematics, with applications to oceans, the atmosphere, flow in pipes, aircraft, blood flow and very much more. This text provides an introduction to the mathematical approach to this subject and to many of its main ideas, based on material typically found in most university courses. So, firstly, the methods and fundamental results, f...