Author: Joe D. Hoffman,Steven Frankel
Publisher: CRC Press
Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."
Author: Richard Hamming
Publisher: Courier Corporation
This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.
Author: Ramin S. Esfandiari
Publisher: CRC Press
This book provides a pragmatic, methodical and easy-to-follow presentation of numerical methods and their effective implementation using MATLAB, which is introduced at the outset. The author introduces techniques for solving equations of a single variable and systems of equations, followed by curve fitting and interpolation of data. The book also provides detailed coverage of numerical differentiation and integration, as well as numerical solutions of initial-value and boundary-value problems. The author then presents the numerical solution of the matrix eigenvalue problem, which entails approximation of a few or all eigenvalues of a matrix. The last chapter is devoted to numerical solutions of partial differential equations that arise in engineering and science. Each method is accompanied by at least one fully worked-out example showing essential details involved in preliminary hand calculations, as well as computations in MATLAB. This thoroughly-researched resource:
Author: J. N. Sharma
Publisher: Alpha Science Int'l Ltd.
The desire for numerical answers to applied problems has increased manifold with the advances made in various branches of science and engineering and rapid development of high-speed digital computers. Although numerical methods have always been useful, their role in the present day scientific computations and research is of fundamental importance. numerous distinguishing features. The contents of the book have been organized in a logical order and the topics are discussed in a systematic manner. concepts; algorithms and numerous exercises at the end of each chapter; helps students in problem solving both manually and through computer programming; an exhaustive bibliography; and an appendix containing some important and useful iterative methods for the solution of nonlinear complex equations.
an introduction with applications using Matlab
Author: Amos Gilat,Vish Subramaniam
Publisher: John Wiley & Sons Inc
A clear and concise guide to numerical methods and their application Mastering numerical methods has never been easier than with Gilat/Subramaniam\'s Numerical Methods For Engineers and Scientists: An Introduction with Applications Using MATLAB(r). Uniquely accessible and concise, this book takes an innovative approach that integrates the study of numerical methods with hands-on programming practice using the popular MATLAB environment to solve realistic problems in engineering and science. Ideal for both students and professionals who would like to become more adept at numerical methods, Numerical Methods For Engineers and Scientists familiarizes you with: * The mathematical background and fundamentals of numerical methods * Solving nonlinear equations * Solving a system of linear equations * Eigenvalues and Eigenvectors * Function approximation, curve fitting, and interpolation * Differentiation * Integration * First-order and higher-order ODEs * Initial and boundary value problems Using MATLAB\'s built-in functions as tools for solving problems, you will practice applying numerical methods for analysis of real-world problems. All the information is presented in manageable, step-by-step fashion, supported by a large number of annotated examples and end-of-chapter problems. Lucid, carefully structured, and flexibly designed to fulfill a wide range of academic and practical needs, this book will help you develop the skills in numerical methods that will serve you well as a practicing engineer. About the Authors: Amos Gilat, Ph.D., is Professor of Mechanical Engineering at The Ohio State University. Dr. Gilat\'s main research interests are in plasticity, specifically, in developing experimental techniques for testing materials over a wide range of strain rates and temperatures and in investigating constitutive relations for viscoplasticity. Dr. Gilat\'s research has been supported by the National Science Foundation, NASA, Department of Energy, Department of Defense, and various industries. Vish Subramaniam, Ph.D., is Professor of Mechanical Engineering & Chemical Physics at The Ohio State University. Dr. Subramaniam\'s main research interests are in plasma and laser physics and processes, particularly those that involve non-equilibrium phenomena. Dr. Subramaniam\'s research is both experimental and computational, and has been supported by the Department of Defense, National Science Foundation, and numerous industries.
Author: Rao, K. Sankara
Publisher: PHI Learning Pvt. Ltd.
With a clarity of approach, this easy-to-comprehend book gives an in-depth analysis of the topics under Numerical Methods, in a systematic manner. Primarily intended for the undergraduate and postgraduate students in many branches of engineering, physics, mathematics and all those pursuing Bachelors/Masters in computer applications. Besides students, those appearing for competitive examinations, research scholars and professionals engaged in numerical computation will also be benefited by this book. The fourth edition of this book has been updated by adding a current topic of interest on Finite Element Methods, which is a versatile method to solve numerically, several problems that arise in engineering design, claiming many advantages over the existing methods. Besides, it introduces the basics in computing, discusses various direct and iterative methods for solving algebraic and transcendental equations and a system of non-linear equations, linear system of equations, matrix inversion and computation of eigenvalues and eigenvectors of a matrix. It also provides a detailed discussion on Curve fitting, Interpolation, Numerical Differentiation and Integration besides explaining various single step and predictor–corrector methods for solving ordinary differential equations, finite difference methods for solving partial differential equations, and numerical methods for solving Boundary Value Problems. Fourier series approximation to a real continuous function is also presented. The text is augmented with a plethora of examples and solved problems along with well-illustrated figures for a practical understanding of the subject. Chapter-end exercises with answers and a detailed bibliography have also been provided. NEW TO THIS EDITION • Includes two new chapters on the basic concepts of the Finite Element Method and Coordinate Systems in Finite Element Methods with Applications in Heat Transfer and Structural Mechanics. • Provides more than 350 examples including numerous worked-out problems. • Gives detailed solutions and hints to problems under Exercises.
practical applications and methods using the Apple II series
Author: Robert D. Walker
Publisher: Tab Books
Author: G. Miller
Publisher: Cambridge University Press
Graduate-level introduction balancing theory and application. Provides full coverage of classical methods with many practical examples and demonstration programs.
Theory and C Programs
Author: Madhumangal Pal
Publisher: Alpha Science International Limited
Numerical Analysis for Scientists and Engineers develops the subject gradually by illustrating several examples for both the beginners and the advanced readers using very simple language. The classical and recently developed numerical methods are derived from mathematical and computational points of view. Different aspects of errors in computation are discussed in detailed. Some finite difference operators and different techniques to solve difference equations are presented here. Various types of interpolation, including cubic-spline, methods and their applications are introduced. Direct and iterative methods for solving algebraic and transcendental equations, linear system of equations, evaluation of determinant and matrix inversion, computation of eigenvalues and eigenvectors of a matrix are well discussed in this book. Detailed concept of curve fitting and function approximation, differentiation and integration (including Monte Carlo method) are given. Many numerical methods to solve ordinary and partial differential equations with their stability and analysis are also presented. The algorithms and programs in C are designed for most of the numerical methods.
Author: K. SANKARA RAO
Publisher: PHI Learning Pvt. Ltd.
Primarily written as a textbook, this third edition provides a complete course on numerical methods for undergraduate students in all branches of engineering, postgraduate students in mathematics and physics, and students pursuing courses in Master of Computer Applications (MCA). Besides students, those appearing for competitive examinations, research scholars and professionals engaged in numerical computations, will treasure this edition for its in-depth analysis, systematic treatment and clarity of approach. The third edition has been updated with new material comprising new methods and concepts and additional chapters on Boundary Value Problems and Approximation of Functions. It introduces the basics in computing, stresses on errors in computation, discusses various direct and iterative methods for solving algebraic and transcendental equations and a method for solving a system of nonlinear equations, linear system of equations, matrix inversion and computation of eigenvalues and eigenvectors of a matrix. The book provides a detailed discussion on curve fitting, interpolation and cubic spline interpolation, numerical differentiation and integration. It also presents, various single step and predictor–corrector methods for solving ordinary differential equations, finite difference methods for solving partial differential equations with the concepts of truncation error and stability. Finally, it concludes with a treatment of numerical methods for solving boundary value problems, least squares, Chebyshev, Pade polynomial approximations and Fourier series approximation to a real continuous function. KEY FEATURES Provides altogether about 300 examples, of which about 125 are worked-out examples. Gives detailed hints and solutions to examples under Exercises.
Author: Carl Friedrich Gauss,Christian Ludwig Gerling
Publisher: Georg Olms Verlag
Author: John H. Mathews
Provides an introduction to numerical analysis, with a particular emphasis on why numerical methods work and what their limitations are. In a straightforward presentation, the book shows readers how the mathematics of calculus and linear algebra are inplemented in computer algorithms.
Author: Amos Gilat
Publisher: Wiley Global Education
Category: Technology & Engineering
Numerical Methods for Engineers and Scientists, 3rd Edition provides engineers with a more concise treatment of the essential topics of numerical methods while emphasizing MATLAB use. The third edition includesÊa new chapter, with all new content,Êon Fourier Transform and aÊnew chapter on Eigenvalues (compiled from existingÊSecond EditionÊcontent).ÊThe focus is placed on the use of anonymous functions instead of inline functions and the uses of subfunctions and nested functions. This updated edition includes 50% new or updated Homework Problems, updated examples, helpingÊengineers test their understanding and reinforce key concepts.
Author: Parviz Moin
Publisher: Cambridge University Press
Introduction to numerical techniques useful in solving complex engineering problems.
Author: Donald Greenspan,Vincenzo Casulli
Publisher: Addison-Wesley Longman
This book is designed for a first course in numerical analysis. It differs considerably from other such texts in its choice of topics.
Author: George Adebiyi
The Scholastic Forum Series on Mathematical Analysis for Scientists and Engineers covers seven key areas. These are designed to bridge the gap between having mathematical skills and actually applying them. If recently, or years ago, you took mathematics courses that are pre-requisites to the technical courses in your major, and need help in figuring out when, or how, to apply the math skills in your present undertakings, the Scholastic Forum Series is for you.Linear systems of equations are encountered in several science and engineering analysis problems such as frameworks, electrical and hydraulic (laminar flow) networks, numerical solution of differential equations, and numerical interpolation, correlation & regression analysis.Series No. 3 titled Linear Equations is intended for science and engineering students who may have taken, or may soon be taking, Linear Algebra. Topics covered include Direct Methods (Cramer's Rule, Matrix Inversion, Gaussian Elimination, LU Decomposition and other Decomposition methods) and Iterative Methods. The text also explains and encourages the use of computer software, such as Microsoft Excel functions, to facilitate implementation of various algorithms for solving linear algebraic equations.
Author: Steven C. Chapra,Raymond P. Canale
Category: Technology & Engineering
Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. Chapra and Canale's unique approach opens each part of the text with sections called "Motivation" "Mathematical Background" and "Orientation". Each part closes with an "Epilogue" containing "Trade-Offs" "Important Relationships and Formulas" and "Advanced Methods and Additional References". Much more than a summary the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. Numerous new or revised problems are drawn from actual engineering practice. The expanded breadth of engineering disciplines covered is especially evident in these exercises which now cover such areas as biotechnology and biomedical engineering. Excellent new examples and case studies span all areas of engineering giving students a broad exposure to various fields in engineering.McGraw-Hill Education's Connect is also available as an optional add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need when they need it how they need it so that class time is more effective. Connect allows the professor to assign homework quizzes and tests easily and automatically grades and records the scores of the student's work. Problems are randomized to prevent sharing of answers an may also have a "multi-step solution" which helps move the students' learning along if they experience difficulty.
Asymptotic Methods and Perturbation Theory
Author: Carl M. Bender,Steven A. Orszag
Publisher: Springer Science & Business Media
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
Author: Myron B. Allen, III,Eli L. Isaacson
Publisher: John Wiley & Sons
Pragmatic and Adaptable Textbook Meets the Needs of Students and Instructors from Diverse Fields Numerical analysis is a core subject in data science and an essential tool for applied mathematicians, engineers, and physical and biological scientists. This updated and expanded edition of Numerical Analysis for Applied Science follows the tradition of its precursor by providing a modern, flexible approach to the theory and practical applications of the field. As before, the authors emphasize the motivation, construction, and practical considerations before presenting rigorous theoretical analysis. This approach allows instructors to adapt the textbook to a spectrum of uses, ranging from one-semester, methods-oriented courses to multi-semester theoretical courses. The book includes an expanded first chapter reviewing useful tools from analysis and linear algebra. Subsequent chapters include clearly structured expositions covering the motivation, practical considerations, and theory for each class of methods. The book includes over 250 problems exploring practical and theoretical questions and 32 pseudocodes to help students implement the methods. Other notable features include: A preface providing advice for instructors on using the text for a single semester course or multiple-semester sequence of courses Discussion of topics covered infrequently by other texts at this level, such as multidimensional interpolation, quasi-Newton methods in several variables, multigrid methods, preconditioned conjugate-gradient methods, finite-difference methods for partial differential equations, and an introduction to finite-element theory New topics and expanded treatment of existing topics to address developments in the field since publication of the first edition More than twice as many computational and theoretical exercises as the first edition. Numerical Analysis for Applied Science, Second Edition provides an excellent foundation for graduate and advanced undergraduate courses in numerical methods and numerical analysis. It is also an accessible introduction to the subject for students pursuing independent study in applied mathematics, engineering, and the physical and life sciences and a valuable reference for professionals in these areas.
With Programs for Engineers and Scientists
Author: Jaroslav Pachner
Publisher: McGraw-Hill Companies
Category: Analyse numérique