Mathematical Software for the PC and Work Stations

It may definitely be asserted that nothing is more rapidly developing in the contemporary world than computers. Computers for common use in 1969, when the first Japanese edition of this book was published, soon achieved hugely increased execution speeds and accessible memory capacity. The methods of numerical analyses applicable to computers, which the publication introduced and the original source programs which it included, changed enormously in the following years. A revised Japanese version was published in 1983, with all programs rewritten in Fortran VI but circumstances have since again changed dramatically.In this new English edition, program codes have been revised in Fortran 77 to reflect the latest computer environment, which is characterized by personal computers and powerful work stations. The book contains many programs (written in double precision base, except for a few cases) for the computation of fundamental mathematical problems in science and technology. A floppy disk is also included, containing all source programs and subprograms, as well as sample programs as described in the text.The contents are classified into four categories: (1) instructions for using this program (including sample cases for different computers); (2) calculation of function values (for special functions, such as the Gamma function and its related functions, Bessel functions of the first and second kinds and their related functions, various orthogonal polynomials, exponential and trigonometric integrals, the error function and its related functions, the Fresnel integrals, the complete elliptic integrals and random number productions); (3) the methods for obtaining functions by solving equations (including cases of algebraic equations, Transcendental equations, ordinary differential equations, simultaneous linear equations, inverse matrices and eigenvalues problems of matrices); (4) manipulations of direct calculation for given data or functions (including calculations which can be calculated directly from the given data, such as, numerical integrals, least-square methods, optimization methods, interpolations, and Fourier transforms). All comments, error messages and explanations have been translated into English for this edition and have been checked using IBM PC MS-FORTRAN (Microsoft), which is common in Europe and USA.T. Watanabe is the author of 'Mathematical Software for the PC and Work Stations' with ISBN 9780444820006 and ISBN 0444820000.