Solving Transcendental Equations

Solving Transcendental Equations
Author: John P. Boyd
Publisher: SIAM
Total Pages: 446
Release: 2014-09-23
Genre: Mathematics
ISBN: 161197352X

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.

Solving Transcendental Equations

Solving Transcendental Equations
Author: John P. Boyd
Publisher: SIAM
Total Pages: 446
Release: 2014-10-23
Genre: Mathematics
ISBN: 1611973511

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 indispensable 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. Solving Transcendental Equations is unique in that it is the first book to describe the Chebyshev-proxy rootfinder, which is the most reliable way to find all zeros of a smooth function on the interval, and the very reliable spectrally enhanced Weyl bisection/marching triangles method for bivariate rootfinding, and it includes three chapters on analytical methods?explicit solutions, regular pertubation expansions, and singular perturbation series (including hyperasymptotics)?unlike other books that give only numerical algorithms for solving algebraic and transcendental equations. This book is written for specialists in numerical analysis and will also appeal to mathematicians in general. It can be used for introductory and advanced numerical analysis classes, and as a reference for engineers and others working with difficult equations.

Handbook of Numerical Methods for the Solution of Algebraic and Transcendental Equations

Handbook of Numerical Methods for the Solution of Algebraic and Transcendental Equations
Author: V. L. Zaguskin
Publisher: Elsevier
Total Pages: 216
Release: 2014-05-12
Genre: Mathematics
ISBN: 1483225674

Handbook of Numerical Methods for the Solution of Algebraic and Transcendental Equations provides information pertinent to algebraic and transcendental equations. This book indicates a well-grounded plan for the solution of an approximate equation. Organized into six chapters, this book begins with an overview of the solution of various equations. This text then outlines a non-traditional theory of the solution of approximate equations. Other chapters consider the approximate methods for the calculation of roots of algebraic equations. This book discusses as well the methods for making roots more accurate, which are essential in the practical application of Berstoi's method. The final chapter deals with the methods for the solution of simultaneous linear equations, which are divided into direct methods and methods of successive approximation. This book is a valuable resource for students, engineers, and research workers of institutes and industrial enterprises who are using mathematical methods in the solution of technical problems.

Numerical Methods Fundament PB

Numerical Methods Fundament PB
Author: R.V. Dukkipati
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 468
Release: 2023-06-13
Genre: Mathematics
ISBN: 1683928709

The book is designed to cover all major aspects of applied numerical methods, including numerical computations, solution of algebraic and transcendental equations, finite differences and interpolation, curve fitting, correlation and regression, numerical differentiation and integration, matrices and linear system of equations, numerical solution of ordinary differential equations, and numerical solution of partial differentialequations. It uses a numerical problem-solving orientation with numerous examples, figures, and end of chapter exercises. Presentations are limited to very basic topics to serve as an introduction to more advanced topics. FEATURES: Emphasizes applications, analytical developments, algorithms, and computational solutions over puretheory Features over 300 problems with step-by-step solutions Includes a review of basic engineering mathematics and partial fraction expansions Provides an understanding, both physical and mathematical, of the basic theory ofnumerical analysis, methods, and their applications

Mathematics for Engineers and Scientists, Sixth Edition

Mathematics for Engineers and Scientists, Sixth Edition
Author: Alan Jeffrey
Publisher: CRC Press
Total Pages: 1018
Release: 2004-08-10
Genre: Mathematics
ISBN: 9781584884880

Since its original publication in 1969, Mathematics for Engineers and Scientists has built a solid foundation in mathematics for legions of undergraduate science and engineering students. It continues to do so, but as the influence of computers has grown and syllabi have evolved, once again the time has come for a new edition. Thoroughly revised to meet the needs of today's curricula, Mathematics for Engineers and Scientists, Sixth Edition covers all of the topics typically introduced to first- or second-year engineering students, from number systems, functions, and vectors to series, differential equations, and numerical analysis. Among the most significant revisions to this edition are: Simplified presentation of many topics and expanded explanations that further ease the comprehension of incoming engineering students A new chapter on double integrals Many more exercises, applications, and worked examples A new chapter introducing the MATLAB and Maple software packages Although designed as a textbook with problem sets in each chapter and selected answers at the end of the book, Mathematics for Engineers and Scientists, Sixth Edition serves equally well as a supplemental text and for self-study. The author strongly encourages readers to make use of computer algebra software, to experiment with it, and to learn more about mathematical functions and the operations that it can perform.

Proceedings

Proceedings
Author: West Virginia Academy of Science
Publisher:
Total Pages: 952
Release: 1964
Genre: Science
ISBN: