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Author: John P. Boyd Publisher: SIAM ISBN: 161197352X Category : Mathematics Languages : en Pages : 446
Book Description
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
Author: John P. Boyd Publisher: SIAM ISBN: 161197352X Category : Mathematics Languages : en Pages : 446
Book Description
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
Author: Carl H. Durney Publisher: ISBN: Category : Computer graphics Languages : en Pages : 17
Book Description
Finding the roots of an equation F(x)=0 when F(x) involves transcendental functions and x is complex usually involves some kind of search method. The efficiency of a search method depends to a certain extent on knowledge of the roots--where they are likely to occur in the x plane, and how many there are. If a root is known to lie in a given region in the x plane, then a search routine can quickly find the root to the desired accuracy. But if no information about the location of the roots is available, a search over a wide area must be conducted, and this can be time consuming and expensive. Consequently, a method for locating the general area of the roots and determining the pattern of the roots is very valuable. The report describes a simple method for graphically displaying the pattern of roots in the complex plane. (Modified author abstract).
Author: Stephen Thomas Kowel Publisher: ISBN: Category : Mathematics Languages : en Pages : 9
Book Description
A simple, general method of solving transcendental equations is presented. Quantitative relations concerning the rate of convergence of the process are developed, and several examples are worked.
Author: Ivan Semenovich Berezin Publisher: Pergamon ISBN: Category : Computers Languages : en Pages : 704
Book Description
Computing Methods, Volume I generalizes and details the methods involved in computer mathematics. The book has been developed in two volumes; Volume I contains Chapters 1 to 5, and Volume II encompasses Chapters 6 to 10.
Author: Snehashish Chakraverty Publisher: World Scientific ISBN: 9811230226 Category : Computers Languages : en Pages : 192
Book Description
The aim of this book is to handle different application problems of science and engineering using expert Artificial Neural Network (ANN). As such, the book starts with basics of ANN along with different mathematical preliminaries with respect to algebraic equations. Then it addresses ANN based methods for solving different algebraic equations viz. polynomial equations, diophantine equations, transcendental equations, system of linear and nonlinear equations, eigenvalue problems etc. which are the basic equations to handle the application problems mentioned in the content of the book. Although there exist various methods to handle these problems, but sometimes those may be problem dependent and may fail to give a converge solution with particular discretization. Accordingly, ANN based methods have been addressed here to solve these problems. Detail ANN architecture with step by step procedure and algorithm have been included. Different example problems are solved with respect to various application and mathematical problems. Convergence plots and/or convergence tables of the solutions are depicted to show the efficacy of these methods. It is worth mentioning that various application problems viz. Bakery problem, Power electronics applications, Pole placement, Electrical Network Analysis, Structural engineering problem etc. have been solved using the ANN based methods.
Author: John P. Boyd
Author: John P. Boyd
Author: Romeo Outlaw
Author: Carl H. Durney
Author: Stephen Thomas Kowel
Author: Ivan Semenovich Berezin
Author: Snehashish Chakraverty
Author: R. De Vogelaere
Author: Robert L. Pexton
Author: John Robert Bossenga
Author: Forman S. Acton