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An Introduction To Numerical Methods And Analysis

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An Introduction to Numerical Methods and Analysis :

Mathematics

Author - James F. Epperson
Publisher - John Wiley & Sons
Pages - 663
ISBN - 1118626230


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Solutions Manual to accompany An Introduction to Numerical Methods and Analysis :

Mathematics

Author - James F. Epperson
Publisher - John Wiley & Sons
Pages - 316
ISBN - 111855213X


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Detail - A solutions manual to accompany An Introduction to Numerical Methods and Analysis, Second Edition An Introduction to Numerical Methods and Analysis, Second Edition reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. The author clearly explains how to both construct and evaluate approximations for accuracy and performance, which are key skills in a variety of fields. A wide range of higher-level methods and solutions, including new topics such as the roots of polynomials, spectral collocation, finite element ideas, and Clenshaw-Curtis quadrature, are presented from an introductory perspective, and theSecond Edition also features: Chapters and sections that begin with basic, elementary material followed by gradual coverage of more advanced material Exercises ranging from simple hand computations to challenging derivations and minor proofs to programming exercises Widespread exposure and utilization of MATLAB® An appendix that contains proofs of various theorems and other material

An Introduction to Numerical Methods : A MATLAB Approach, Third Edition

Mathematics

Author - Abdelwahab Kharab, Ronald B. Guenther
Publisher - CRC Press
Pages - 576
ISBN - 1439868999


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Detail - Highly recommended by CHOICE, previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Third Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computer results so that the main steps are easily visualized and interpreted. New to the Third Edition A chapter on the numerical solution of integral equations A section on nonlinear partial differential equations (PDEs) in the last chapter Inclusion of MATLAB GUIs throughout the text The book begins with simple theoretical and computational topics, including computer floating point arithmetic, errors, interval arithmetic, and the root of equations. After presenting direct and iterative methods for solving systems of linear equations, the authors discuss interpolation, spline functions, concepts of least-squares data fitting, and numerical optimization. They then focus on numerical differentiation and efficient integration techniques as well as a variety of numerical techniques for solving linear integral equations, ordinary differential equations, and boundary-value problems. The book concludes with numerical techniques for computing the eigenvalues and eigenvectors of a matrix and for solving PDEs. CD-ROM Resource The accompanying CD-ROM contains simple MATLAB functions that help students understand how the methods work. These functions provide a clear, step-by-step explanation of the mechanism behind the algorithm of each numerical method and guide students through the calculations necessary to understand the algorithm. Written in an easy-to-follow, simple style, this text improves students’ ability to master the theoretical and practical elements of the methods. Through this book, they will be able to solve many numerical problems using MATLAB.

An Introduction to Numerical Methods and Optimization Techniques :

Mathematics

Author - Richard W. Daniels
Publisher -
Pages - 293
ISBN -


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An Introduction to Numerical Analysis for Electrical and Computer Engineers :

Mathematics

Author - Christopher J. Zarowski
Publisher - John Wiley & Sons
Pages - 608
ISBN - 9780471650409


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Detail - This book is an introduction to numerical analysis and intends to strike a balance between analytical rigor and the treatment of particular methods for engineering problems Emphasizes the earlier stages of numerical analysis for engineers with real-life problem-solving solutions applied to computing and engineering Includes MATLAB oriented examples An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Introduction to Numerical Analysis : Second Edition

Mathematics

Author - F. B. Hildebrand
Publisher - Courier Corporation
Pages - 669
ISBN - 0486318559


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Detail - Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.

Scientific Computing and Differential Equations : An Introduction to Numerical Methods

Computers

Author - Gene Howard Golub, James M. Ortega
Publisher - Academic Press
Pages - 337
ISBN - 9780122892554


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Detail - A book that emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. An introductory chapter on this topic gives an overview of modern scientific computing, outlining its applications and placing the subject in a larger context.

An introduction to numerical analysis :

Mathematics

Author - Kendall E. Atkinson
Publisher - John Wiley & Sons
Pages - 587
ISBN - 9780471029854


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Detail - This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and bibliographies have been updated. New topics covered include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines, boundary value problems, the conjugate gradient method, and the least squares solutions of systems of linear equations. Contains many problems, some with solutions.

An Introduction to Numerical Analysis :

Mathematics

Author - Endre Süli, David F. Mayers
Publisher - Cambridge University Press
Pages - 433
ISBN - 9780521007948


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Detail - Introduction to numerical analysis combining rigour with practical applications. Numerous exercises plus solutions.

A Theoretical Introduction to Numerical Analysis :

Mathematics

Author - Victor S. Ryaben'kii, Semyon V. Tsynkov
Publisher - CRC Press
Pages - 552
ISBN - 9781584886075


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Detail - A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation. By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.

An Introduction to Programming and Numerical Methods in MATLAB :

Mathematics

Author - Steve Otto, James P. Denier
Publisher - Springer Science & Business Media
Pages - 464
ISBN - 9781846281334


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Detail - An elementary first course for students in mathematics and engineering Practical in approach: examples of code are provided for students to debug, and tasks – with full solutions – are provided at the end of each chapter Includes a glossary of useful terms, with each term supported by an example of the syntaxes commonly encountered

Engineering Analysis : Interactive Methods and Programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica

Computers

Author - Yen-Ching Pao
Publisher - CRC Press
Pages - 384
ISBN - 9781420049619


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Detail - This book provides a concise introduction to numerical concepts in engineering analysis, using FORTRAN, QuickBASIC, MATLAB, and Mathematica to illustrate the examples. Discussions include: matrix algebra and analysis solution of matrix equations methods of curve fit methods for finding the roots of polynomials and transcendental equations finite differences and methods for interpolation and numerical differentiation numerical computation of single and double integrals numerical solution of ordinary differential equations Engineering Analysis: teaches readers to become proficient in FORTRAN or QuickBASIC programming to solve engineering problems provides an introduction to MATLAB and Mathematica, enabling readers to write supplementary m-files for MATLAB and toolkits for Mathematica using C-like commands The book emphasizes interactive operation in developing computer programs throughout, enabling the values of the parameters involved in the problem to be entered by the user of the program via a keyboard. In introducing each numerical method, Engineering Analysis gives minimum mathematical derivations but provides a thorough explanation of computational procedures to solve a specific problem. It serves as an exceptional text for self-study as well as resource for general reference.