Numerical Methods With C And Matlab Programming Second Edition
Download Numerical Methods With C And Matlab Programming Second Edition PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Numerical Methods With C And Matlab Programming Second Edition book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
NUMERICAL METHODS WITH C++ AND MATLAB PROGRAMMING, SECOND EDITION
Author: SHAH, NITA H.
language: en
Publisher: PHI Learning Pvt. Ltd.
Release Date: 2024-12-01
The rapid development of high speed digital computers and the increasing desire for numerical answers to applied problems have led to increased demand in the courses dealing with the methods and techniques of numerical analysis. Numerical methods have always been useful but their role in the present-day scientific research has become prominent. For example, they enable one to find the roots of transcendental equations and in solving non-linear differential equations. Indeed, they give the solution when ordinary analytical methods fail. This well-organized and comprehensive text, now in its second edition, aims at enhancing and strengthening numerical methods concepts among students using C++ and MATLAB programming, a fast emerging preferred programming language among software developers. The book provides a synthesis of both theory and practice. It focuses on the core areas of numerical analysis including algebraic equations, interpolation, boundary value problem, and matrix eigenvalue problems. The mathematical concepts are supported by a number of solved examples. Extensive self-review exercises and answers are provided at the end of each chapter to help students review and reinforce the key concepts. The book is intended for undergraduate and postgraduate students of Mathematics, Engineering, Statistics and Computer Application (BCA and MCA) courses. Besides, for researchers, this book will serve as a reference to get insight into their research problems numerically when analytic method fails. KEY FEATURES • C++ programs are provided for all numerical methods discussed. • More than 400 unsolved problems and 200 solved problems are included to help students test their grasp of the subject. NEW TO THE SECOND EDITION • Includes MATLAB codes and few new topics • Incorporates new examples and exercises at the end of each chapter TARGET AUDIENCE • B.Sc./M.Sc./MA (Mathematics and Statistics) • B.Tech (Computer Science) • BCA & MCA
Introduction To Numerical Computation, An (Second Edition)
This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.
Numerical Methods for Least Squares Problems, Second Edition
The method of least squares, discovered by Gauss in 1795, is a principal tool for reducing the influence of errors when fitting a mathematical model to given observations. Applications arise in many areas of science and engineering. The increased use of automatic data capturing frequently leads to large-scale least squares problems. Such problems can be solved by using recent developments in preconditioned iterative methods and in sparse QR factorization. The first edition of Numerical Methods for Least Squares Problems was the leading reference on the topic for many years. The updated second edition stands out compared to other books on this subject because it provides an in-depth and up-to-date treatment of direct and iterative methods for solving different types of least squares problems and for computing the singular value decomposition. It also is unique because it covers generalized, constrained, and nonlinear least squares problems as well as partial least squares and regularization methods for discrete ill-posed problems. The bibliography of over 1,100 historical and recent references provides a comprehensive survey of past and present research in the field. This book will be of interest to graduate students and researchers in applied mathematics and to researchers working with numerical linear algebra applications.