Methods of Applied MathematicsThe principle aim of tis volume is to place at the disposal of the engineer or physicist the basis of an intelligent working knowledge of a number of facts and techniques relevant to some fields of mathematics which often are not treated in courses of the "Advanced Calculus" type, but which are useful in varied fields of application. |
Contents
CHAPTER | 1 |
CHAPTER | 119 |
Natural boundary conditions and transition | 128 |
Copyright | |
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Common terms and phrases
arbitrary associated augmented matrix c₁ C₂ calculation calculus of variations characteristic functions characteristic numbers characteristic value coefficient matrix column components considered constant constraint converges coordinates corresponding characteristic vectors deduce defined denote determined differential equation dx dy end conditions equation y(x equivalent Euler equation expressed follows Fredholm equation function F(x given Green's function hence Hermitian homogeneous integral equation interval involved iterative k₁ kernel K(x left-hand member linear combination linearly independent method multiple natural boundary conditions nonsingular nontrivial solution notation notice obtained orthogonal matrix positive definite possesses prescribed procedure quadratic form reduced relation relevant result of Problem right-hand member satisfies the equation scalar product Section set of equations sin² square matrix stationary function Suppose symmetric matrix takes the form transformation u₁ u₂ unit vectors vanish variables variational problem verify x₁ y₁ zero ди ду дх
