089898
New York
1972
16×23,5
tvrdi s omotom
370
engleski
Cijena: 35,00 EUR
The book by the prominent American mathematician James Alan Cochran (from Bell Telephone Laboratories) presents a comprehensive, deep, and above all, original treatment of the theory and analysis of linear integral equations. Cochran's approach is specific in that it deliberately avoids heavy reliance on abstract functional analysis that otherwise characterizes similar works in this field, thereby making the theory significantly more accessible and applicable for applied mathematicians, mathematical physicists, and research engineers who strive for clear and concrete solutions. The content of the volume is naturally and meticulously structured into three thematic sections. The focus of the entire work is primarily directed toward Fredholm integral equations of the second kind with square-integrable or Hilbert-Schmidt kernels with two independent real variables. The first six chapters provide a detailed and well-rounded account of what is considered the classical theory of general linear integral equations, which, along with selected additions in the later portions of the text, constitutes ideal material for an advanced one-semester graduate or postgraduate course. The next seven chapters are dedicated to an extremely detailed analysis of Hermitian kernels, the existence of their characteristic values and functions, as well as various techniques for the estimation and approximation of such kernels, values, and functions, with an important chapter on modern perturbation theory also included. The final five chapters of the book analyze other special types of kernels (including normal, symmetrizable, difference, nuclear, positive, complex-symmetric, and differentiable kernels), providing material that can easily be adapted for advanced two-semester university curricula. The work is also equipped with an exceptionally extensive and valuable bibliography covering key scientific papers in this field.
