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Numerical Analysis With Elements Of Computer Science
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Book Synopsis Numerical Analysis with Elements of Computer Science by : Apurba Narayan Das
Download or read book Numerical Analysis with Elements of Computer Science written by Apurba Narayan Das and published by . This book was released on 2013-01-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has been minutely planned keeping in mind the requirements of the students of various universities. The treatment is simple and logical.
Book Synopsis Elements of Statistical Computing by : R.A. Thisted
Download or read book Elements of Statistical Computing written by R.A. Thisted and published by Routledge. This book was released on 2017-10-19 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics and computing share many close relationships. Computing now permeates every aspect of statistics, from pure description to the development of statistical theory. At the same time, the computational methods used in statistical work span much of computer science. Elements of Statistical Computing covers the broad usage of computing in statistics. It provides a comprehensive account of the most important computational statistics. Included are discussions of numerical analysis, numerical integration, and smoothing. The author give special attention to floating point standards and numerical analysis; iterative methods for both linear and nonlinear equation, such as Gauss-Seidel method and successive over-relaxation; and computational methods for missing data, such as the EM algorithm. Also covered are new areas of interest, such as the Kalman filter, projection-pursuit methods, density estimation, and other computer-intensive techniques.
Book Synopsis Elements of Statistical Computing by : R.A. Thisted
Download or read book Elements of Statistical Computing written by R.A. Thisted and published by Routledge. This book was released on 2017-10-19 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics and computing share many close relationships. Computing now permeates every aspect of statistics, from pure description to the development of statistical theory. At the same time, the computational methods used in statistical work span much of computer science. Elements of Statistical Computing covers the broad usage of computing in statistics. It provides a comprehensive account of the most important computational statistics. Included are discussions of numerical analysis, numerical integration, and smoothing. The author give special attention to floating point standards and numerical analysis; iterative methods for both linear and nonlinear equation, such as Gauss-Seidel method and successive over-relaxation; and computational methods for missing data, such as the EM algorithm. Also covered are new areas of interest, such as the Kalman filter, projection-pursuit methods, density estimation, and other computer-intensive techniques.
Book Synopsis Computer Programming and Numerical Analysis Revised Edition with C: A Integrated Approach by : N. Datta
Download or read book Computer Programming and Numerical Analysis Revised Edition with C: A Integrated Approach written by N. Datta and published by Universities Press. This book was released on 2003-10 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The availability of high-speed digital computers has led to the widespread study of computer programming and numerical analysis in Indian universities and technological institutes. This book presents the theory and applications of numerical methods for the solution of various types of computational problems in science and engineering.
Book Synopsis NUMERICAL ANALYSIS by : Vinay Vachharajani
Download or read book NUMERICAL ANALYSIS written by Vinay Vachharajani and published by BPB Publications. This book was released on 2018-06-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Numerical Analysis by : David Ronald Kincaid
Download or read book Numerical Analysis written by David Ronald Kincaid and published by American Mathematical Soc.. This book was released on 2009 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.
Book Synopsis Compact Numerical Methods for Computers by : John C. Nash
Download or read book Compact Numerical Methods for Computers written by John C. Nash and published by CRC Press. This book was released on 1990-01-01 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Compact Numerical Methods for Computers presents reliable yet compact algorithms for computational problems. As in the previous edition, the author considers specific mathematical problems of wide applicability, develops approaches to a solution and the consequent algorithm, and provides the program steps. He emphasizes useful applicable methods from various scientific research fields, ranging from mathematical physics to commodity production modeling. While the ubiquitous personal computer is the particular focus, the methods have been implemented on computers as small as a programmable pocket calculator and as large as a highly parallel supercomputer. New to the Second Edition Presents program steps as Turbo Pascal code Includes more algorithmic examples Contains an extended bibliography The accompanying software (available by coupon at no charge) includes not only the algorithm source codes, but also driver programs, example data, and several utility codes to help in the software engineering of end-user programs. The codes are designed for rapid implementation and reliable use in a wide variety of computing environments. Scientists, statisticians, engineers, and economists who prepare/modify programs for use in their work will find this resource invaluable. Moreover, since little previous training in numerical analysis is required, the book can also be used as a supplementary text for courses on numerical methods and mathematical software.
Book Synopsis Introduction to Numerical Analysis and Scientific Computing by : Nabil Nassif
Download or read book Introduction to Numerical Analysis and Scientific Computing written by Nabil Nassif and published by CRC Press. This book was released on 2016-04-19 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a one-semester course, Introduction to Numerical Analysis and Scientific Computing presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. The classroom-tested text helps students understand floating point number representations, particularly those pertaining to IEEE simple an
Author :Pradip Narain and Tajender Singh Saluja Publisher :Northern Book Centre ISBN 13 :9788172112615 Total Pages :318 pages Book Rating :4.1/5 (126 download)
Book Synopsis Numerical Analysis and Computer Programming by : Pradip Narain and Tajender Singh Saluja
Download or read book Numerical Analysis and Computer Programming written by Pradip Narain and Tajender Singh Saluja and published by Northern Book Centre. This book was released on 2008 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pradip Narain, popularly known as PN sir, has been teaching undergraduate and post-graduate students of Mathematics for over thirty years. After topping the Delhi University in MA Mathematics from St Stephen's College, he taught in the department of Mathematics, Economics and Commerce at St Stephen's College, Hindu College and Jesus and Mary College, and in the department of Business Economics at University of Delhi (South Campus). He is currently the Director of Alpha Plus Study Circle. Tajender Singh Saluja teaches NACP and Mechanics at PNs Alpha Plus Study Circle. He is well known for his lucid, effective style of teaching. As a student, he had received a silver medal in the National Mathematics Olympiad. Salient Features • Covers both Numerical Analysis (NA) and Computer Programming (CP) in a single volume • Written strictly according to the syllabus and guidelines of BA/BSc Mathematics (Hons) of Delhi University • Also useful for other Indian Universities and Competitive Examinations • Concepts, methods, 137 questions, 76 examples and 58 assignments given in a simple, step-by-step, graded form • Formulation of 59 programs made easy • Perfect for self-study; no teacher required • All guidelines problems fully solved • All questions of University examinations since 1994 included and solved in the text at relevant places • Contains 'Frequency Table' indicating the importance of each topic
Book Synopsis Elements of Scientific Computing by : Aslak Tveito
Download or read book Elements of Scientific Computing written by Aslak Tveito and published by Springer Science & Business Media. This book was released on 2010-09-24 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming.
Book Synopsis Fundamentals of Scientific Computing by : Bertil Gustafsson
Download or read book Fundamentals of Scientific Computing written by Bertil Gustafsson and published by Springer Science & Business Media. This book was released on 2011-06-11 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.
Book Synopsis Numerical Computation in Science and Engineering by : C. Pozrikidis
Download or read book Numerical Computation in Science and Engineering written by C. Pozrikidis and published by Oxford University Press on Demand. This book was released on 2008 with total page 1251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for the non-expert student, enthusiast, or researcher, this text provides an accessible introduction to numerical computation and its applications in science and engineering. It assumes no prior knowledge beyond undergraduate calculus and elementary computer programming. Fundamental and practical issues are discussed in a unified manner with a generous, but not excessive, dose of numerical analysis. Topics are introduced on a need to know basis to concisely illustrate the practical implementation of a variety of algorithms and demystify seemingly esoteric numerical methods. Algorithms that can be explained without too much elaboration and can be implemented within a few dozen lines of computer code are discussed in detail, and computer programs in Fortran, C++, and Matlab are provided. Algorithms whose underlying theories require long, elaborate explanations are discussed at the level of first principles, and references for further information are given. The book uses numerous schematic illustrations to demonstrate concepts and facilitate their understanding by providing readers with a helpful interplay between ideas and visual images. Real-world examples drawn from various branches of science and engineering are presented. Updated information on computer technology and numerical methods is included, many new and some original topics are introduced. Additional solved and unsolved problems are included.
Book Synopsis Real Computing Made Real by : Forman S. Acton
Download or read book Real Computing Made Real written by Forman S. Acton and published by Courier Corporation. This book was released on 2005-08-15 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers and scientists who want to avoid errors in their computer-assisted calculations will welcome this concise guide. In addition to its practical advice on detecting and removing the bugs that plague finite-precision calculations, it also outlines techniques for preserving significant figures, avoiding extraneous solutions, and finding efficient iterative processes for solving nonlinear equations. 1996 edition.
Book Synopsis Programming for Computations - Python by : Svein Linge
Download or read book Programming for Computations - Python written by Svein Linge and published by Springer Nature. This book was released on 2019-10-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is published open access under a CC BY 4.0 license. This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapters, thus expanding the introduction to programming from 50 to 150 pages. Throughout the book, the explanations provided are now more detailed, previous examples have been modified, and new sections, examples and exercises have been added. Also, a number of small errors have been corrected. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style employed is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows students to write simple programs for solving common mathematical problems with numerical methods in the context of engineering and science courses. The emphasis is on generic algorithms, clean program design, the use of functions, and automatic tests for verification.
Book Synopsis Scientific Computing by : Michael T. Heath
Download or read book Scientific Computing written by Michael T. Heath and published by SIAM. This book was released on 2018-11-14 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.
Book Synopsis Introduction to the Tools of Scientific Computing by : Einar Smith
Download or read book Introduction to the Tools of Scientific Computing written by Einar Smith and published by Springer Nature. This book was released on 2022-11-28 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to common programming tools and methods in numerical mathematics and scientific computing. Unlike standard approaches, it does not focus on any specific language, but aims to explain the underlying ideas. Typically, new concepts are first introduced in the particularly user-friendly Python language and then transferred and extended in various programming environments from C/C++, Julia and MATLAB to Maple and Mathematica. This includes various approaches to distributed computing. By examining and comparing different languages, the book is also helpful for mathematicians and practitioners in deciding which programming language to use for which purposes. At a more advanced level, special tools for the automated solution of partial differential equations using the finite element method are discussed. On a more experimental level, the basic methods of scientific machine learning in artificial neural networks are explained and illustrated.
Book Synopsis Elements of Numerical Analysis by : Radhey S. Gupta
Download or read book Elements of Numerical Analysis written by Radhey S. Gupta and published by Cambridge University Press. This book was released on 2015-05-14 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical analysis deals with the manipulation of numbers to solve a particular problem. This book discusses in detail the creation, analysis and implementation of algorithms to solve the problems of continuous mathematics. An input is provided in the form of numerical data or it is generated as required by the system to solve a mathematical problem. Subsequently, this input is processed through arithmetic operations together with logical operations in a systematic manner and an output is produced in the form of numbers. Covering the fundamentals of numerical analysis and its applications in one volume, this book offers detailed discussion on relevant topics including difference equations, Fourier series, discrete Fourier transforms and finite element methods. In addition, the important concepts of integral equations, Chebyshev Approximation and Eigen Values of Symmetric Matrices are elaborated upon in separate chapters. The book will serve as a suitable textbook for undergraduate students in science and engineering.
