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

Published: 2014-05-12

Total Pages: 216

ISBN-13: 1483225674

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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
Numerical Methods

Author: M. K. Jain

Publisher: New Age International

Published: 2007

Total Pages: 71

ISBN-13: 8122415342

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Is An Outline Series Containing Brief Text Of Numerical Solution Of Transcendental And Polynomial Equations, System Of Linear Algebraic Equations And Eigenvalue Problems, Interpolation And Approximation, Differentiation And Integration, Ordinary Differential Equations And Complete Solutions To About 300 Problems. Most Of These Problems Are Given As Unsolved Problems In The Authors Earlier Book. User Friendly Turbo Pascal Programs For Commonly Used Numerical Methods Are Given In The Appendix. This Book Can Be Used As A Text/Help Book Both By Teachers And Students.

Solving Transcendental Equations
Solving Transcendental Equations

Author: John P. Boyd

Publisher: SIAM

Published: 2014-09-23

Total Pages: 446

ISBN-13: 161197352X

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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.

Numerical Methods for Science and Engineering
Numerical Methods for Science and Engineering

Author: B. Ravindra Reddy

Publisher: BSP Books

Published: 2024-08-01

Total Pages: 429

ISBN-13: 9390211670

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About the Book: Numerical Methods is the go-to textbook for B.Sc and B.Tech students in search of a comprehensive guide to numerical analysis. This self-contained classroom text offers an in-depth exploration of key topics such as errors, difference operators, and interpolation with both equal and unequal intervals. With detailed explanations of methods for solving linear algebraic and transcendental equations, numerical integration, differentiation, and ordinary differential equations. Additional topics covered in this text include central difference interpolation formulas, inverse interpolation, and the Guass-Jacobi and Gauss Seidel methods. Whether you are a student or a professional in the field of numerical analysis, Numerical Methods provides the solid foundation you need to succeed. This book is an essential resource for students seeking to master the principles and techniques of numerical analysis.Contents: 1. Errors in Numerical Calculations 2. Solving Algebraic and Transcendental Equations 3. Differential Operators 4. Interpolation with Equal Intervals 5. Matrices, Characteristic Equation, Eigen Values and Eigen Vector 6. Central difference Interpolation Formulae 7. Numerical Differentiation 8. Numerical Integration 9. Solution of Ordinary Differential Equations 10. Inverse Interpolation 11. Curve Fitting 12. Solving of a System of Linear Equations and Matrices

NUMERICAL ANALYSIS
NUMERICAL ANALYSIS

Author: Vinay Vachharajani

Publisher: BPB Publications

Published: 2018-06-01

Total Pages: 594

ISBN-13: 9387284611

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Description:This book is Designed to serve as a text book for the undergraduate as well as post graduate students of Mathematics, Engineering, Computer Science.COVERAGE:Concept of numbers and their accuracy, binary and decimal number system, limitations of floating point representation.Concept of error and their types, propagation of errors through process graph.Iterative methods for finding the roots of algebraic and transcendental equations with their convergence, methods to solve the set of non-linear equations, methods to obtain complex roots.Concept of matrices, the direct and iterative methods to solve a system of linear algebraic equations.Finite differences, interpolation and extrapolation methods, cubic spline, concept of curve fitting.Differentiation and integration methods.Solution of ordinary and partial differential equations SALIENT FEATURES:Chapters include objectives, learning outcomes, multiple choice questions, exercises for practice and solutions.Programs are written in C Language for Numerical methods.Topics are explained with suitable examples.Arrangement (Logical order), clarity, detailed presentation and explanation of each topic with numerous solved and unsolved examples.Concise but lucid and student friendly presentation for derivation of formulas used in various numerical methods. Table Of Contents:Computer ArithmeticError Analysis Solution of Algebraic and Transcendental Equations Solution of System of Linear Equations and Eigen value Problems Finite Differences Interpolation Curve Fitting and Approximation Numerical Differentiation Numerical Integration Difference Equations Numerical Solution of Ordinary Differential Equations Numerical Solution of Partial Differential Equations Appendix - I Case Studies / Applications Appendix - II Synthetic Division Bibliography Index