Thus the boxes labelled wave motion and heat conduction cannot be opened before the box containing Fourier series has been examined in some detail.
Next we turn to tensor analysis, which enables us to express Maxwell's electromagnetic equations in a relativistically invariant form, and to develop the special theory and general theory of relativity.
Remember, these problems are designed to make you think and there is not necessarily a 'right' answer. Take them to a level that feels comfortable for you.
Approach them in a thoughtful way; they are hopefully both interesting and stimulating. Finally, once you have done the problems, study the solutions.
A case is presented for the importance of focusing on (1) average ability students, (2) substantive mathematical content, (3) real problems, and (4) realistic settings and solution procedures for research in problem solving.
It is suggested that effective instructional techniques for teaching applied mathematical problem solving resembles “mathematical laboratory” activities, done in small group problem solving settings.
We now come to vector field theory which is concerned with vector functions of position in regions of space and the important theorems first proved by Gauss, Green and Stokes.
This subject enables us to solve problems in Newtonian gravitation, electricity and magnetism, and fluid dynamics.
This book attempts to show students of applied mathematics how problems can be solved.
The subject of applied mathematics is extremely wide ranging, as can be seen from the contents list of this book which is far from being comprehensive in scope since otherwise the book would be enormously long.